School of Mathematics: Recent submissions

Now showing items 201-220 of 393

    • On AdS(5) x S**5 String S-matrix. 

      FROLOV, SERGEY (Elsevier, 2006)
      Recently two interesting conjectures about the string S-matrix on AdS5?S5 have been made. First, assuming the existence of a Hopf algebra symmetry Janik derived a functional equation for the dressing factor of the quantum ...

    • Finite-size Effects from Giant Magnons. 

      FROLOV, SERGEY (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 ...

    • Konishi operator at intermediate coupling. 

      FROLOV, SERGEY (2011)
      TBA equations for two-particle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to 't Hooft's coupling 2046. The data obtained ...

    • On String S-matrix, Bound States and TBA 

      FROLOV, SERGEY (2007)
      The study of finite J effects for the light-cone AdS5 ? S5 superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the ...

    • The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring 

      FROLOV, SERGEY (2007)
      We discuss the Zamolodchikov-Faddeev algebra for the superstring sigmamodel on AdS5 ? S5. We find the canonical su(2|2)2 invariant S-matrix satisfying the standard Yang-Baxter and crossing symmetry equations. Its ...

    • Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory. 

      FROLOV, SERGEY (Institute of Physics, 2005)
      We analyze in detail the relation between an exactly marginal deformation of N = 4 SYM | the Leigh-Strassler or \?-deformation" | and its string theory dual (recently constructed in hep-th/0502086) by comparing energies ...

    • Lax pair for strings in Lunin-Maldacena background. 

      FROLOV, SERGEY (2005)
      Recently Lunin andMaldacena used an SL(3,R) transformation of the AdS5?S5 background to generate a supergravity solution dual to a so-called -deformation of N = 4 super Yang-Mills theory. We use a T-duality-shift-T-duality ...

    • Gauge-string duality for (non)supersymmetric deformations of N=4 super Yang-Mills theory. 

      FROLOV, SERGEY (Elsevier, 2005)
      We consider a non-supersymmetric example of the AdS/CFT duality which generalizes the supersymmetric exactly marginal deformation constructed in hep-th/0502086. The string theory background we use was found in hep-th/0503201 ...

    • New integrable system of 2dim fermions from strings on AdS(5) x S**5. 

      FROLOV, SERGEY (Institute of Physics, 2006)
      We consider classical superstrings propagating on AdS5 ? S5 space-time. We consistently truncate the superstring equations of motion to the so-called fraktur sfraktur u(1|1) sector. By fixing the uniform gauge we show that ...

    • Uniform light-cone gauge for strings in AdS(5) x s**5: Solving SU(1|1) sector. 

      FROLOV, SERGEY (2006)
      We introduce a uniform light-cone gauge for strings propagating in AdS5 ?S5 space-time. We use the gauge to analyze strings from the su(1|1) sector, and show that the reduced model is described by a quadratic action for ...

    • Green-Schwarz strings in TsT-transformed backgrounds. 

      FROLOV, SERGEY (Institute of Physics, 2006)
      We consider classical strings propagating in a background generated by a sequence of TsT transformations. We describe a general procedure to derive the Green-Schwarz action for strings. We show that the U(1) isometry ...

    • The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring 

      FROLOV, SERGEY (Institute of Physics, 2007)
      We analyse the psu(2, 2|4) supersymmetry algebra of a superstring propagating in the AdS5 ? S5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and ...

    • Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT. 

      FROLOV, SERGEY (Elsevier, 2007)
      We compute 1-loop correction E1 to the energy of folded string in AdS5?S5 (carrying spin S in AdS5 and momentum J in S5) using a ?long string? approximation in which Smuch greater-thanJmuch greater-than1. According to the ...

    • On the SO(N) symmetry of the chiral SU(N) Yang-Mills model 

      FROLOV, SERGEY (Elsevier, 1993)
      The posibility of quantizing the anomalous SU(N) Yang?Mills model preserving the symmetry under the orthogonal subgroup is indicated. The corresponding Wess?Zumino action (1-cocycle) possesses the additional SO(N) symmetry ...

    • Canonical quantization of the degenerate WZ action including chiral interaction with gauge fields 

      FROLOV, SERGEY (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 ...

    • Removing fermion doublers in chiral gauge theories on the lattice 

      FROLOV, SERGEY (Elsevier, 1994)
      A method for removing fermion doublers in anomaly free chiral gauge theories on the lattice is proposed. It is proven that the resulting continuum theory is gauge invariant and does not require noninvariant counterterms ...

    • SO(N) invariant Wess-Zumino action and its quantization 

      FROLOV, SERGEY (Springer Verlag, 1996)
      A consistent quantization procedure of anomalous chiral models is discussed. It is based on a modification of the classical action by adding Wess-Zumino terms. The SO(3) invariant WZ action for the SU(3) model is constructed. ...

    • Gauge invariant Hamiltonian formulation of lattice Yang-Mills theory 

      FROLOV, SERGEY (World Scientific, 1995)
      It it known that to get the usual Hamiltonian formulation of lattice Yang-Mills theory in the temporal gauge A0 = 0 one should place on every link the cotangent bundle of a Lie group. The cotangent bundle may be considered ...

    • Hamiltonian lattice gauge models and the Heisenberg double 

      FROLOV, SERGEY (World Scientific, 1995)
      Hamiltonian lattice gauge models based on the assignment of the Heisenberg double of a Lie group to each link of the lattice are constructed in arbitrary spacetime dimensions. It is shown that the corresponding generalization ...

    • 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 ...