Browsing Pure & Applied Mathematics by Author "FROLOV, SERGEY"
Now showing items 1-20 of 80
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The AdS(5) x S**5 superstring in light-cone gauge and its Bethe equations.
(Institute of Physics, 2006)We use the uniform light-cone gauge to derive an exact gauge-fixed Lagrangian and light-cone Hamiltonian for the Green-Schwarz superstring in AdS5?S5. We then quantize the theory perturbatively in the near plane-wave ... -
Antisymmetric tensor field on AdS(5)
(Elsevier, 1998)By using the Hamiltonian version of the AdSrCFT correspondence, we compute the two-point Green function of a local operator in Ds4 Ns4 super Yang-Mills theory, which corresponds to a massive antisymmetric tensor field of ... -
Bethe ansatz for quantum strings
(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
(2012)The spectrum of the light-cone 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
(World Scientific, 1996)Canonical quantization of the Wess-Zumino (WZ) model including chiral interaction with gauge field is considered for the case of a degenerate action. The two-dimensional SU(2) Yang-Mills model and the four-dimensional ... -
The centre of the graph and moduli algebras at roots of 1
(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
(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
(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
(IOP Publishing, 2009)We utilize the DHM integral representation for the BES dressing factor of the world-sheet S-matrix of the AdS_5xS^5 light-cone string theory, and the crossing equations to fix the principal branch of the dressing factor ... -
Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group
(American Institute of Physics, 1997)It is shown that the elliptic Ruijsenaars?Schneider model can be obtained from the cotangent bundle over the two-dimensional current group by means of the Hamiltonian reduction procedure. -
Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the Affine Heisenberg Double
(Institute of Physics, 1997)It is shown that the elliptic Ruijsenaars-Schneider model can be obtained from the affine Heisenberg Double by means of the Poisson reduction procedure. The dynamical r-matrix naturally appears in the construction. -
Exceptional Operators in N=4 super Yang-Mills
(2012)We consider one particularly interesting class of composite gauge-invariant op- erators in N = 4 super Yang-Mills 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
(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
(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 two-particle excited states dual to N=4 ... -
Finite-size Effects from Giant Magnons.
(Elsevier, 2007)In order to analyze finite-size effects for the gauge-fixed string sigma model on AdS5?S5, we construct one-soliton solutions carrying finite angular momentum J. In the infinite J limit the solutions reduce to the recently ... -
Five-loop Konishi from the Mirror TBA
(2010)We use the Thermodynamic Bethe Ansatz equations for the AdS5 ? S5 mirror model to derive the five-loop 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
(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
(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 ... -
Four-point functions of lowest weight CPOs in N = 4 SYM(4) in supergravity approximation
(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 Gross-Neveu model
(2013)The free field representation of the Zamolodchikov-Faddeev algebra for the chiral Gross-Neveu model is analysed in detail, and used to construct an integral representation for form factors of the model
