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Abstract: We propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS5×S at large string tension and restricted to certain large charge states from a closed su(2) subsector. The ansatz differs from the recently proposed all-loop gauge theory asymptotic Bethe ansatz by additional factorized scattering terms for the local… (More)

- Sergey Frolov
- 2005

Recently Lunin and Maldacena used an SL(3, R) transformation of theAdS5×S background to generate a supergravity solution dual to a so-called β-deformation of N = 4 super Yang-Mills theory. We use a T-duality-shift-T-duality (TsT) transformation to obtain the β-deformed background for real β ≡ γ, and show that solutions of string theory equations of motion… (More)

We discuss the Zamolodchikov-Faddeev algebra for the superstring sigma-model on AdS5×S. We find the canonical su(2|2)2 invariant S-matrix satisfying the standard Yang-Baxter and crossing symmetry equations. Its near-plane-wave expansion matches exactly the leading order term recently obtained by the direct perturbative computation. We also show that the… (More)

- Sergey Frolov
- 2006

We compute 1-loop correction E1 to the energy of folded string in AdS5 ×S5 (carrying spin S in AdS5 and momentum J in S ) using “long string” approximation in which S ≫ J ≫ 1. According to AdS/CFT E1 should represent first subleading correction to strong coupling expansion of anomalous dimension of higher twist SL(2) sector operators TrDSZJ . We show that… (More)

According to the recent proposal by Aharony, Bergman, Jafferis and Maldacena the N = 6 supersymmetric Chern-Simons theory in three dimensions has a ’t Hooft limit whose holographic dual is described by type IIA superstings on AdS4 × CP background. We argue that the Green-Schwarz action for type IIA string theory on AdS4×CP with κ-symmetry partially fixed… (More)

- Sergey Frolov
- 2009

We review the recent advances towards finding the spectrum of the AdS5 × S superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem. In certain cases our exposition is original and cannot be found in the existing literature. The present Part I deals with foundations of classical… (More)

We find the Hamiltonian for physical excitations of the classical bosonic string propagating in the AdS5 × S space-time. The Hamiltonian is obtained in a so-called uniform gauge which is related to the static gauge by a 2d duality transformation. The Hamiltonian is of the Nambu type and depends on two parameters: a single S angular momentum J and the string… (More)

We analyze the psu(2, 2|4) supersymmetry algebra of a superstring propagating in the AdS5 × S background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-cone momentum, which decompactifies the string world-sheet. We focus on the psu(2|2) ⊕ psu(2|2) subalgebra… (More)

We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators O ∼ trφφ in N = 4 SYM4 at strong coupling and show that their structure is compatible with the predictions of AdS/CFT correspondence. In particular, all powersingular terms in the 4-point functions exactly coincide with the contributions coming from the… (More)

The study of finite J effects for the light-cone AdS5 × S 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 original string model by the double Wick rotation. The S-matrices describing the scattering of physical excitations in the string and… (More)