Integrable strings for AdS/CFT

Abstract

In this PhD thesis we review some aspects of integrable models related to string backgrounds or their deformations. In the first part we develop methods to obtain exact results in the AdS3/CFT2 correspondence. We consider the AdS_3 x S^3 x T^4 background with pure Ramond-Ramond flux and we find the all-loop worldsheet S-matrix by exploiting the symmetries of the model in light-cone gauge. As we naturally include the massless modes on the worldsheet, we derive the full set of Bethe-Yang equations. In the massive sector we give also a spin-chain description and we write down solutions compatible with crossing for the scalar factors which are not constrained by simmetries. In the second part of the thesis we consider the so-called "eta-deformation" of the superstring on AdS_5 x S^5. We first discuss the effects of the deformation at the level of the bosonic sigma-model, and we match the tree-level worldsheet scattering processes to the expansion of the q-deformed S-matrix. To identify the missing Ramond-Ramond fields we then compute the action quadratic in fermions, and we provide an alternative derivation by looking at the kappa-symmetry variations. The resulting background fields do not solve the equations of motion of type IIB supergravity and we comment on this.

Based on the author's PhD thesis. 175 pages

References in corpus (40)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• On integrable deformations of superstring sigma models related to AdS_n x S^n supercosets
• On deformations of AdS_n x S^n supercosets
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• String hypothesis for the AdS_5 x S^5 mirror
• An Integrable Deformation of the AdS5 x S5 Superstring
• On AdS_5 x S^5 String S-matrix
• Quantum Deformations of the One-Dimensional Hubbard Model
• On the Singularities of the Magnon S-matrix
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• A Jordanian deformation of AdS space in type IIB supergravity
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• Supergravity background of lambda-deformed model for AdS2 x S2 supercoset
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• World-sheet scattering in AdS_5 x S^5 at two loops
• The Quantum Deformed Mirror TBA I
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Finite-size giant magnons on η-deformed AdS_5 x S^5
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• S-Matrices and Quantum Group Symmetry of k-Deformed Sigma Models
• Giant Magnon on Deformed AdS(3)xS(3)
• Pulsating strings on $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Supercoset construction of Yang-Baxter deformed AdS${}_5\times$S${}^5$ backgrounds
• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime

Cited by in corpus (8)

• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Generalized IIB supergravity from exceptional field theory
• Protected states in $\mbox{AdS}_3$ backgrounds from integrability
• Yang-Baxter deformations of $W_{2,4}\times T^{1,1}$ and the associated T-dual models
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• A study of integrable form factors in massless relativistic AdS_3
• Geometry of Massless Scattering in Integrable Superstring
• Norms and scalar products for AdS_3