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Professor Sergey Frolov
Professor, Pure & Applied Mathematics

Publications and Further Research Outputs

Peer-Reviewed Publications

Frolov, S., Free field representation of the ZF algebra of the SU(N) Ã- SU(N) PCF model, Journal of Physics A: Mathematical and Theoretical, 50, (37), 2017, p374001- Journal Article, 2017 DOI

Arutyunov, G. and Frolov, S. and Klabbers, R. and Savin, S., Towards 4-point correlation functions of any 12 -BPS operators from supergravity, Journal of High Energy Physics, 2017, (4), 2017, p5- Journal Article, 2017 DOI TARA - Full Text

Arutyunov G, Frolov S, Hoare B, Roiban R, Tseytlin A.A, Scale invariance of the η-deformed AdS5Ã-S5 superstring, T-duality and modified type II equations, Nuclear Physics B, 903, 2016, p262 - 303 Journal Article, 2016 DOI TARA - Full Text URL

Arutyunov G, Borsato R, Frolov S, Puzzles of η-deformed AdS5 Ã- S5, Journal of High Energy Physics, 2015, (12), 2015, p1 - 60 Journal Article, 2015 DOI TARA - Full Text URL

Frolov, S, Heinze, M, Jorjadze, G, Plefka, J, Static gauge and energy spectrum of single-mode strings in AdS(5) x S-5, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 47, (8), 2014, p085401 - Journal Article, 2014 TARA - Full Text DOI

Arutyunov, G., Borsato, R., Frolov, S., S-matrix for strings on η-deformed AdS5 × S 5, Journal of High Energy Physics, 4, 2014, p002- Journal Article, 2014 DOI TARA - Full Text

Quinn, E., Frolov, S., Excited states in Bethe ansatz solvable models and the dressing of spin and charge, Journal of Physics A: Mathematical and Theoretical, 46, (20), 2013, art. no. 205001 Journal Article, 2013 TARA - Full Text DOI

S. Britton and S. Frolov, Free field representation and form factors of the chiral Gross-Neveu model, High Energy Physics - Theory, 2013, p1-59 Journal Article, 2013 URL TARA - Full Text

Sergey Frolov, Martin Heinze, George Jorjadze, and Jan Plefka. , Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS, 5, High Energy Physics - Theory, 2013, p1-24 Journal Article, 2013 TARA - Full Text URL

Gleb Arutyunov, Sergey Frolov, Stijn J. van Tongeren , Bound states in the mirror TBA, Journal of High Energy Physics, 2012, p014 Journal Article, 2012 DOI TARA - Full Text

Sergey Frolov and Eoin Quinn, Hubbard-Shastry lattice models , Journal of Physics A, 45, (9), 2012, p095004- Journal Article, 2012 TARA - Full Text DOI

Sergey Frolov, Scaling dimensions from the mirror TBA, Journal of Physics A, 45, 2012, p305402- Journal Article, 2012 TARA - Full Text DOI

Gleb Arutyunov, Sergey Frolov, Alessandro Sfondrini, Exceptional Operators in N=4 super Yang-Mills, Journal fo High Energy Physics, 2012, 2012, 6- Journal Article, 2012 DOI TARA - Full Text

Arutyunov, Gleb; Frolov, Sergey, Comments on the mirror TBA, Journal of High Energy Physics, 2011, 2011, p82- Journal Article, 2011 TARA - Full Text DOI

Frolov, Sergey , Konishi operator at intermediate coupling., Journal of Physics A: Mathematical and Theoretical, 44, (6, 065401), 2011 Journal Article, 2011 TARA - Full Text

Gleb Arutyunov, Sergey Frolov, Ryo Suzuki, Five-loop Konishi from the Mirror TBA, Journal of High Energy Physics, 2010 Journal Article, 2010 URL TARA - Full Text

Gleb Arutyunov, Sergey Frolov, String hypothesis for the AdS_5 x S, 5 mirror, Journal of High Energy Physics, 0903, (152), 2009, p19 Journal Article, 2009 DOI TARA - Full Text URL

Sergey Frolov and Ryo Suzuki, Temperature quantization from the TBA equations, Physics Letters B, 679, (1), 2009, p60-64 Journal Article, 2009 DOI TARA - Full Text

Gleb Arutyunov, Sergey Frolov, The dressing factor and crossing equations, Journal of Physics A: Mathematical and Theoretical, 42, (425401), 2009, p40 Journal Article, 2009 URL TARA - Full Text DOI

Gleb Arutyunov,Sergey Frolov, Ryo Suzuki, Exploring the mirror TBA, Journal of High Energy Physics, 2009, p58 Journal Article, 2009 TARA - Full Text URL

Gleb Arutyunov, Sergey Frolov, Simplified TBA equations of the AdS_5 x S, 5 mirror model, Journal of High Energy Physics, 0911, (019), 2009, p17 Journal Article, 2009 DOI TARA - Full Text URL

Gleb Arutyunov, Sergey Frolov, Thermodynamic Bethe Ansatz for the AdS_5 x S, 5 Mirror Model, Journal of High Energy Physics, 0905, (068), 2009, p31 Journal Article, 2009 DOI TARA - Full Text URL

Gleb Arutyunov, Sergey Frolov, Foundations of the AdS_5 x S, 5 Superstring. Part I, Journal of Physics A: Mathematical and Theoretical, 42, (25), 2009, p161 Journal Article, 2009 TARA - Full Text DOI URL

Dmitri V. Bykov, Sergey Frolov, Giant magnons in TsT-transformed AdS_5 x S, 5, Journal of High Energy Physics, 0807, (1070), 2008, p21 Journal Article, 2008 DOI TARA - Full Text URL

Gleb Arutyunov, Sergey Frolov, The S-matrix of String Bound States, Nuclear Physics B, 1-2, 2008, p90-143 Journal Article, 2008 TARA - Full Text URL DOI

Gleb Arutyunov, Sergey Frolov, Superstrings on AdS_4 x CP, 3 as a Coset Sigma-model, Journal of High Energy Physics, 0806, (4940 ), 2008, p29 Journal Article, 2008 TARA - Full Text DOI URL

Gleb Arutyunov, Sergey Frolov , On String S-matrix, Bound States and TBA , Journal of High Energy Physics, 12, 2007, p024 Journal Article, 2007 TARA - Full Text

Gleb Arutyunov, Sergey Frolov, Marija Zamaklar , The Zamolodchikov-Faddeev Algebra for AdS_5 x S, 5 Superstring , Journal of High Energy Physics, 04, 2007, p002 Journal Article, 2007 TARA - Full Text

S. Frolov, A. Tirziub and A.A. Tseytlin, Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT., Nuclear Physics B, 766, (1-3), 2007, p232-245 Journal Article, 2007 TARA - Full Text

Gleb Arutyunov, Sergey Frolov, Jan Plefka and Marija Zamakla, The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring, Journal of Physics A: Mathematical and Theoretical , 40, (13), 2007, p3583 Journal Article, 2007 TARA - Full Text

Gleb Arutyunova, Sergey Frolov, and Marija Zamaklar, Finite-size Effects from Giant Magnons., Nuclear Physics B, 778, (1-2), 2007, 1-35 Journal Article, 2007 TARA - Full Text

Gleb Arutyunov and Sergey Frolov, Uniform light-cone gauge for strings in AdS(5) x s**5: Solving SU(1|1) sector., Journal of High Energy Physics, 1, 2006, p055 Journal Article, 2006 TARA - Full Text

Sergey Frolov, Jan Plefka and Marija Zamaklar, The AdS(5) x S**5 superstring in light-cone gauge and its Bethe equations., Journal of Physics A: Mathematical and General, 39, 2006, p13037 Journal Article, 2006 TARA - Full Text

Luis Fernando Alday, Gleb Arutyunov and Sergey Frolov, New integrable system of 2dim fermions from strings on AdS(5) x S**5. , Journal of High Energy Physics, 1, (6), 2006, p078 Journal Article, 2006 TARA - Full Text

Luis F. Alday, Gleb Arutyunov and Sergey Frolov, Green-Schwarz strings in TsT-transformed backgrounds., Journal of High Energy Physics, 6, 2006, p018 Journal Article, 2006 TARA - Full Text

G. Arutyunova, and S. Frolov, On AdS(5) x S**5 String S-matrix., Physics Letters B, 639, (3-4), 2006, p378-382 Journal Article, 2006 TARA - Full Text

S.A. Frolova, R. Roiban and A.A. Tseytlin, Gauge-string duality for (non)supersymmetric deformations of N=4 super Yang-Mills theory., Nucleic Physics B, 731, (1-2), 2005, p1-44 Journal Article, 2005 TARA - Full Text

G. Arutyunov and S. Frolov, Integrable Hamiltonian for Classical Strings on AdS(5) x S**5, Journal of High Energy Physics, 02, 2005, p059 - Journal Article, 2005 TARA - Full Text

Sergey Frolov, Lax pair for strings in Lunin-Maldacena background., Journal of High Energy Physics, 5, (5), 2005, p069 Journal Article, 2005 TARA - Full Text

S.A. Frolova, R. Roibanb, and A.A. Tseytlinc., Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory., Journal of High Energy Physics, 7, 2005, p045 Journal Article, 2005 TARA - Full Text

S. A. Frolov, I. Y. Park and A. A. Tseytlin, On one-loop correction to energy of spinning strings in S(5), Physical Review D, 71, (2), 2005, p026006- Journal Article, 2005 TARA - Full Text

G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings, Journal of High Energy Physics, 10, 2004, p016 Journal Article, 2004 TARA - Full Text

S. Frolov and A. A. Tseytlin, Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors, Physical Letters B, 570, (1-2), 2003, p96-104 Journal Article, 2003 TARA - Full Text

G. Arutyunov, S. Frolov, J. Russo and A. A. Tseytlin, Spinning strings in AdS(5) x S**5 and integrable systems, Nuclear Physics B, 671, (3), 2003, p3-50 Journal Article, 2003 TARA - Full Text

S. Frolov and A. A. Tseytlin, Multi-spin string solutions in AdS(5) x S**5, Nuclear Physics B, 668, (1-2), 2003, p77-110 Journal Article, 2003 TARA - Full Text

S. Frolov and A. A. Tseytlin, Quantizing three-spin string solution in AdS(5) xS**5, Journal of High Energy Physics, 3, (7), 2003, p016 Journal Article, 2003 TARA - Full Text

N. Beisert, S. Frolov, M. Staudacher and A.A. Tseytlin, Precision Spectroscopy of AdS/CFT, Journal of High Energy Physics, 10, 2003, p037 - Journal Article, 2003 TARA - Full Text

S. Frolov, I. R. Klebanov and A. A. Tseytlin, String corrections to the holographic RG flow of supersymmetric SU(N) x SU(N+M) gauge theory, Nuclear Physics B, 620, 2002, p84-108 Journal Article, 2002 TARA - Full Text

S. Frolov and A. A. Tseytlin, R**4 corrections to conifolds and G(2)-holonomy spaces, Nuclear Physics B, 632, (1-3), 2002, p69-100 Journal Article, 2002 TARA - Full Text

S. Frolov and A. A. Tseytlin, Semiclassical quantization of rotating superstring in AdS(5) x S**5, Journal of High Energy Physics, 2, (6), 2002, p007 Journal Article, 2002 TARA - Full Text

G. Arutyunov, S. Frolov and A. Petkou, Perturbative and instanton corrections to the OPE of CPOs in N = 4 SYM(4), Nuclear Physics B, 602, 2001, p238 Journal Article, 2001 TARA - Full Text

G. Arutyunov, S. Frolov, S. Theisen and A. A. Tseytlin, Tachyon condensation and universality of DBI action, Journal of High Energy Physics, 01, (02), 2001, p002 Journal Article, 2001 TARA - Full Text

F. Bastianelli, S. Frolov and A. A. Tseytlin, Three-point correlators of stress tensors in maximally-supersymmetric conformal theories in d = 3 and d = 6, Nuclear Physics B, 578, (1-2), 2000, p139-152 Journal Article, 2000 TARA - Full Text

G. Arutyunov, S. Frolov and A. C. Petkou, Operator product expansion of the lowest weight CPOs in N = 4 SYM(4) at strong coupling, Nuclear Physics B, 586, (1-2), 2000, p547-588 Journal Article, 2000 TARA - Full Text

G. Arutyunov and S. Frolov, On the correspondence between gravity fields and CFT operators, Journal of High Energy Physics, 4, 2000, p17 Journal Article, 2000 TARA - Full Text

G. Arutyunov, S. Frolov and S. Theisen, A note on gravity-scalar fluctuations in holographic RG flow geometries, Physical Letters B, 484, (3-4), 2000, p295-305. Journal Article, 2000 TARA - Full Text

F. Bastianelli, S. Frolov and A. A. Tseytlin, Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence, Journal of High Energy Physics, 0002, 2000, p013 Journal Article, 2000 TARA - Full Text

G. Arutyunov & S. Frolov, Four-point functions of lowest weight CPOs in N = 4 SYM(4) in supergravity approximation, Physical Review D, 62, (6), 2000, p064016- Journal Article, 2000 TARA - Full Text

G. Arutyunov and S. Frolov, Scalar quartic couplings in type IIB supergravity on AdS(5) x S(5), Nuclear Physics B, 579, (1-2), 2000, p117-176 Journal Article, 2000 TARA - Full Text

G. Arutyunov and S. Frolov, Some cubic couplings in type IIB supergravity on AdS(5) x S(5) and three-point functions in SYM(4) at large N, Physical Review D, 61, 2000, p064009- Journal Article, 2000 TARA - Full Text

G. E. Arutyunov and S. A. Frolov, Quadratic action for type IIB supergravity on AdS(5) x S(5), Journal of High Energy Physics, 8, 1999, p024 Journal Article, 1999 TARA - Full Text

G. Arutyunov and S. Frolov, Three-point Green function of the stress-energy tensor in the AdS/CFT correspondence, Physical Review D, 60, 1999, p026004 - Journal Article, 1999 DOI TARA - Full Text

G. E. Arutyunov and S. A. Frolov, On the origin of supergravity boundary terms in the AdS/CFT correspondence, Nuclear Physics B, 544, (3), 1999, p576-589 Journal Article, 1999 TARA - Full Text

G. Arutyunov, S. Frolov and A. Polishchuk, On Lorentz invariance and supersymmetry of four particle scattering amplitudes in S(N) R**8 orbifold sigma model, Physical Review D, 60, 1999, p066003 Journal Article, 1999 TARA - Full Text

S. A. Frolov, The centre of the graph and moduli algebras at roots of 1, Communications in Mathematical Physics, 200, (3), 1999, p599-619 Journal Article, 1999 URL TARA - Full Text DOI

Gleb Arutyunov, Sergey Frolov, Scalar Quartic Effective Action on AdS5, Proceedings of the TMR Meeting, Quantum Aspects of Gauge Theories, Supersymmetry and Unification, Paris, 1999, pp1-6 Conference Paper, 1999 TARA - Full Text URL

G. E. Arutyunov and S. A. Frolov, Antisymmetric tensor field on AdS(5), Physics Letters B, 441, (1-4), 1998, p173-177 Journal Article, 1998 TARA - Full Text

G. E. Arutyunov and S. A. Frolov, On Hamiltonian structure of the spin Ruijsenaars-Schneider model, Journal of Physics A: Mathematical and General, 31, (18), 1998, p4203- Journal Article, 1998 TARA - Full Text

G. E. Arutyunov and S. A. Frolov, Four graviton scattering amplitude from S(N) R**8 supersymmetric orbifold sigma model, Nuclear Physics B, 524, (2), 1998, p159-206 Journal Article, 1998 TARA - Full Text

G. E. Arutyunov and S. A. Frolov, Quantum Dynamical R-matrices and Quantum Frobenius Group, Communications in Mathematical Physics, 191, (1), 1998, p15-29 Journal Article, 1998 TARA - Full Text

G. E. Arutyunov and S. A. Frolov, Virasoro amplitude from the S(N) R**24 orbifold sigma model, Theoretical Mathematical Physics, 114, (1), 1998, p43-66 Journal Article, 1998 TARA - Full Text

G. E. Arutyunov, L. O. Chekhov and S. A. Frolov, R-matrix quantization of the elliptic Ruijsenaars-Schneider model, Communications in Mathematical Physics, 192, 1998, p405-432 Journal Article, 1998 TARA - Full Text

G. E. Arutyunov, S. A. Frolov and P. B. Medvedev, Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group, Journal of Mathematical Physics, 38, 1997, p5682 Journal Article, 1997 DOI URL TARA - Full Text

S. A. Frolov, Physical phase space of lattice Yang-Mills theory and the moduli space of flat connections on a Riemann surface, Theoretical Mathematical Physics, 113, (1), 1997, p1289-1298 Journal Article, 1997 TARA - Full Text

G. E. Arutyunov, L. O. Chekhov and S. A. Frolov, Quantum dynamical Rmatrices for the elliptic Ruijsenaars-Schneider model, Teor.Mat.Fiz, 111, (2), 1997, p182 Journal Article, 1997

G. E. Arutyunov, S. A. Frolov and P. B. Medvedev, Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the Affine Heisenberg Double, Journal of Physics A: Mathematical and General, 30, (14), 1997, p5051-5065 Journal Article, 1997 TARA - Full Text

S. A. Frolov, A. A. Slavnov and C. Sochichiu, SO(N) invariant Wess-Zumino action and its quantization, Theoretical Mathematical Physics, 105, (2), 1996, p1407-1425 Journal Article, 1996 TARA - Full Text

S. A. Frolov, A. A. Slavnov and C. Sochichiu, Canonical quantization of the degenerate WZ action including chiral interaction with gauge fields, International Journal of Modern Physics A, 11, (4), 1996, p747-758 Journal Article, 1996 TARA - Full Text

S. A. Frolov, Gauge invariant Hamiltonian formulation of lattice Yang-Mills theory, Modern Phsyics Letters A, 10, (34), 1995, p2619-2631 Journal Article, 1995 TARA - Full Text

S. A. Frolov, Hamiltonian lattice gauge models and the Heisenberg double, Modern Physics Letters A, 10, 1995, p2885-2896 Journal Article, 1995 TARA - Full Text URL

S. A. Frolov and A. A. Slavnov, Removing fermion doublers in chiral gauge theories on the lattice, Nuclear Physics B, 411, (2-3), 1994, p647-664 Journal Article, 1994 TARA - Full Text

S. A. Frolov and A. A. Slavnov, Quantization of Yang-Mills fields in linear gauges., Physics of Particles and Nuclei, 24, (5), 1993, p1414-1459 Journal Article, 1993

S. A. Frolov, A. A. Slavnov and C. Sochichiu, On the SO(N) symmetry of the chiral SU(N) Yang-Mills model, Physics Letters B, 301, (1), 1993, p59-66 Journal Article, 1993 TARA - Full Text

S. A. Frolov and A. A. Slavnov, An Invariant regularization of the Standard Model, Physics Letters B, 309, (3-4), 1993, p344-350 Journal Article, 1993 DOI

S. A. Frolov and A. A. Slavnov, Canonical quantization of anomalous theories, Theoretical and Mathematical Physics, 92, (3), 1992, p1038-1046 Journal Article, 1992 DOI

S. A. Frolov and A. A. Slavnov, Canonical quantization of regularized string theory, Modern Physics Letters A,, 6, (39), 1991, p3621-3625 Journal Article, 1991 DOI

S. A. Frolov and A. A. Slavnov, Canonical quantization of regularized chiral, Physics Letters B, 269, 1991, p377-382 Journal Article, 1991 DOI

S. A. Frolov, BRST quantization of gauge theories in Hamiltonian like gauges, Theoretical Mathematical Physics, 87, (2), 1991, p464-477 Journal Article, 1991 DOI

S. A. Frolov and A. A. Slavnov, Consistent quantization of two-dimensional chiral Higgs model, Physics Letters B, 266, (1-2), 1991, p65-70 Journal Article, 1991 DOI

S. A. Frolov, On the abelization theorem in the BRST approach, Physics Letters B, 265, (1-2), 1991, p124-126 Journal Article, 1991 DOI

A. A. Slavnov and S. A. Frolov, Lagrangian Brst Quantization And Unitarity, Theoretical and Mathematical Physics, 85, (3), 1990, p1237-1255 Journal Article, 1990 DOI

S. A. Frolov and A. A. Slavnov, Construction Of The Effective Action For General Gauge Theories Via Unitarity, Nuclear Physics B, 347, (1-2), 1990, p333-346 Journal Article, 1990 DOI

S. A. Frolov and A. A. Slavnov, Physical Subspace Norm In Hamiltonian BRST Quantization, Physics Letters B, 218, (4), 1989, 461-464 Journal Article, 1989 DOI

S. A. Frolov, Effective Action For String Field Theory, Physics Letters B, 229, (1-2), 1989, p37-40 Journal Article, 1989 DOI

S. A. Frolov, Hamiltonian Brst Quantization Of An Antisymmetric Tensor Field, Theoretical Mathematical Physics, 76, (2), 1988, p886-890 Journal Article, 1988 DOI

A. A. Slavnov and S. A. Frolov, Quantization Of Nonabelian Antisymmetric Tensor Field, Theoretical of Mathematical Physics, 75, (2), 1988, p470-477 Journal Article, 1988 DOI

S. A. Frolov and A. A. Slavnov,, Covariant Quantum Description Of The N=2 Brink-Schwartz Superparticle, Physics Letters B, 208, (2), 1988, p245-248. Journal Article, 1988 DOI

A. A. Slavnov and S. A. Frolov, Propagator Of Yang-Mills Field In Light Cone Gauge, Theoretical and Mathematical Physics, 73, (2), 1987, p1158-1165 Journal Article, 1987 DOI

A. A. Slavnov and S. A. Frolov, Quantization Of Yang-Mills Fields In The A(0), Theory of Mathematical Physics, 68, (3), 1986, p880-884 Journal Article, 1986 DOI

Research Expertise

Description

My research area is theoretical high energy physics with emphasis on such fundamental questions as the relation between string theory and quantum field theories, and issue of stability of nonsupersymmetric string theories. Last few years I have been mainly interested in understanding classical and quantum integrability of string theory on AdS5 × S5, finding Bethe Ansatz for quantum strings, analyzing multi-spin solitonic string solutions and using them to study some problems in nonperturbative gauge theory via the AdS/CFT (or string theory/gauge theory) correspondence. I also have interests in many-body integrable systems, quantum qroups and deformation quantization of Poisson algebras, see refs. [22-31] in the list of my publications.

Integrability of string theory on (deformed) AdS5 × S5
Multi-spin solitonic string solutions and the AdS/CFT correspondence
Bethe Ansatz for quantum strings
Type IIB superstrings
Tachyon condensation
Matrix string theory and orbifold conformal field theory
Many-body integrable systems and dynamical r-matrices
Chiral theories and anomalies
Lattice gauge models
Combinatorial quantization of the Chern-Simons model
Quantum groups Hamiltonian lattice gauge models
BRST quantization of constrained systems
Chiral theories and anomalies
Lattice gauge models
Combinatorial quantization of the Chern-Simons model
Quantum groups Hamiltonian lattice gauge models
BRST quantization of constrained systems.