Browsing Pure & Applied Mathematics (Scholarly Publications) by Author "FROLOV, SERGEY"
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The AdS(5) x S**5 superstring in lightcone gauge and its Bethe equations.
FROLOV, SERGEY (Institute of Physics, 2006)We use the uniform lightcone gauge to derive an exact gaugefixed Lagrangian and lightcone Hamiltonian for the GreenSchwarz superstring in AdS5?S5. We then quantize the theory perturbatively in the near planewave ... 
Antisymmetric tensor field on AdS(5)
FROLOV, SERGEY (Elsevier, 1998)By using the Hamiltonian version of the AdSrCFT correspondence, we compute the twopoint Green function of a local operator in Ds4 Ns4 super YangMills theory, which corresponds to a massive antisymmetric tensor field of ... 
Bethe ansatz for quantum strings
FROLOV, SERGEY (Institute of Physics, 2004)We propose Bethe equations for the diagonalization of the hamiltonian of quantum strings on AdS 5 ? S 5 at large string tension and restricted to certain large charge states from a closed (2) subsector. The ansatz differs ... 
Bound states in the mirror TBA
FROLOV, SERGEY (2012)The spectrum of the lightcone AdS 5 S 5 superstring contains states composed of particles with complex momenta including in particular those which turn into bound states in the decompacti cation limit. We propose ... 
Canonical quantization of the degenerate WZ action including chiral interaction with gauge fields
FROLOV, SERGEY (World Scientific, 1996)Canonical quantization of the WessZumino (WZ) model including chiral interaction with gauge field is considered for the case of a degenerate action. The twodimensional SU(2) YangMills model and the fourdimensional ... 
The centre of the graph and moduli algebras at roots of 1
FROLOV, SERGEY (Springer Verlag, 1999)The structure of the centres Z(Lg) and Z(Mg) of the graph algebra Lg(sl2) and the moduli algebraMg(sl2) is studied at roots of 1. It it shown that Z(Lg) can be endowed with the structure of the Poisson graph algebra. The ... 
Comments on the mirror TBA
FROLOV, SERGEY (2011)We discuss various aspects of excited state TBA equations describing the energy spectrum of the AdS5 ? S5 strings and, via the AdS/CFT correspondence, the spectrum of scaling dimensions of N=4 SYM local operators. We observe ... 
Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
FROLOV, SERGEY (Institute of Physics, 2000)We compute the conformal anomaly in the free d = 6 superconformal (2,0) tensor multiplet theory on generic curved background. Up to a trivial covariant totalderivative term, it is given by the sum of the type A part ... 
The dressing factor and crossing equations
FROLOV, SERGEY (IOP Publishing, 2009)We utilize the DHM integral representation for the BES dressing factor of the worldsheet Smatrix of the AdS_5xS^5 lightcone string theory, and the crossing equations to fix the principal branch of the dressing factor ... 
Elliptic RuijsenaarsSchneider model from the cotangent bundle over the twodimensional current group
FROLOV, SERGEY (American Institute of Physics, 1997)It is shown that the elliptic Ruijsenaars?Schneider model can be obtained from the cotangent bundle over the twodimensional current group by means of the Hamiltonian reduction procedure. 
Elliptic RuijsenaarsSchneider model via the Poisson reduction of the Affine Heisenberg Double
FROLOV, SERGEY (Institute of Physics, 1997)It is shown that the elliptic RuijsenaarsSchneider model can be obtained from the affine Heisenberg Double by means of the Poisson reduction procedure. The dynamical rmatrix naturally appears in the construction. 
Exceptional Operators in N=4 super YangMills
FROLOV, SERGEY (2012)We consider one particularly interesting class of composite gaugeinvariant op erators in N = 4 super YangMills theory. An exceptional feature of these operators is that in the Thermodynamic Bethe Ansatz approach the ... 
Excited states in Bethe ansatz solvable models and the dressing of spin and charge
FROLOV, SERGEY (2013)A general formalism for the study of excitations above equilibrium in Bethe ansatz solvable models is presented. Nonzero temperature expressions for dressed energy, momentum, spin and charge are obtained. The zero ... 
Exploring the mirror TBA
SUZUKI, RYO; FROLOV, SERGEY (2009)We apply the contour deformation trick to the Thermodynamic Bethe Ansatz equations for the AdS_5 imes S^5 mirror model, and obtain the integral equations determining the energy of twoparticle excited states dual to N=4 ... 
Finitesize Effects from Giant Magnons.
FROLOV, SERGEY (Elsevier, 2007)In order to analyze finitesize effects for the gaugefixed string sigma model on AdS5?S5, we construct onesoliton solutions carrying finite angular momentum J. In the infinite J limit the solutions reduce to the recently ... 
Fiveloop Konishi from the Mirror TBA
SUZUKI, RYO; FROLOV, SERGEY (2010)We use the Thermodynamic Bethe Ansatz equations for the AdS5 ? S5 mirror model to derive the fiveloop anomalous dimension of the Konishi operator. We show numerically that the corresponding result perfectly agrees with ... 
Foundations of the AdS_5 x S^5 Superstring. Part I
FROLOV, SERGEY (2009)We review the recent advances towards finding the spectrum of the AdS_5 x S^5 superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem. In certain ... 
Four graviton scattering amplitude from S(N) R**8 supersymmetric orbifold sigma model
FROLOV, SERGEY (Elsevier, 1998)In the IR limit the Matrix string theory is expected to be described by the SNR8 supersymmetric orbifold sigma model. Recently Dijkgraaf, Verlinde and Verlinde proposed a vertex that may describe the type IIA string ... 
Fourpoint functions of lowest weight CPOs in N = 4 SYM(4) in supergravity approximation
FROLOV, SERGEY (American Physical Society, 2000)We show that the recently found quartic action for the scalars from the massless graviton multiplet of type IIB supergravity compactified on an AdS53S5 background coincides with the relevant part of the action of the gauged ... 
Free field representation and form factors of the chiral GrossNeveu model
BRITTON, STEPHEN K; FROLOV, SERGEY (2013)The free field representation of the ZamolodchikovFaddeev algebra for the chiral GrossNeveu model is analysed in detail, and used to construct an integral representation for form factors of the model