Superstrings in AdS

Abstract

This is a comprehensive review of the worldsheet techniques for the quantization of type IIB superstring theory on the AdS_5 x S^5 background, using the pure spinor formalism. Particular emphasis is devoted to AdS/CFT applications, with several examples worked out in details. The review is self-contained and pedagogical. Table of contents: 1) Introduction; 2) Generalities; 3) Supercoset sigma models; 4) Quantum effective action and conformal invariance; 5) String spectrum; 6) Integrability.

157 pages, 1 figure; v3 final version to appear in Physics Reports. arXiv admin note: text overlap with arXiv:hep-th/0009168, arXiv:0910.1195, arXiv:hep-th/0112160, arXiv:hep-th/0409159 by other authors

References in corpus (32)

• The Pomeron and Gauge/String Duality
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• ICTP Lectures on Covariant Quantization of the Superstring
• On three-point correlation functions in the gauge/gravity duality
• Holographic three-point functions of semiclassical states
• Holographic dual of free field theory
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
• The Konishi multiplet at strong coupling
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism
• Explaining the Pure Spinor Formalism for the Superstring
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5)
• GGI Lectures on the Pure Spinor Formalism of the Superstring
• A New Limit of the AdS_5 x S^5 Sigma Model
• Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
• Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
• Superstrings on AdS_2 and Superconformal Matrix Quantum Mechanics
• Massless particles on supergroups and AdS3 x S3 supergravity
• Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
• Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)
• On the Non-renormalization of the AdS Radius
• Superstrings in General Backgrounds
• Non-Critical Pure Spinor Superstrings
• The AdS3 boundary energy momentum tensor, exact in the string length over the curvature radius
• Integrability of the Gauged Linear Sigma Model for AdS_5xS^5

Cited by in corpus (25)

• The Higher Spin/Vector Model Duality
• Integrable Deformations of Sigma Models
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Tree-level amplitudes from the pure spinor superstring
• Strong Coupling Expansion for the Conformal Pomeron/Odderon Trajectories
• Harmonic Superspace from the $Ad{S}_5\times S^5$ Pure Spinor Formalism
• Untwisting the Pure Spinor Formalism to the RNS and Twistor String in a Flat and $Ad{S}_5\times S^5$ Background
• Yang-Baxter Deformations of the $Ad{S}_5\times S^5$ Pure Spinor Superstring
• Open-closed superstring amplitudes using vertex operators in ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Semiclassical equivalence of Green-Schwarz and Pure-Spinor/Hybrid formulations of superstrings in AdS(5) x S(5) and AdS(2) x S(2) x T(6)
• Fermionic T-duality and U-duality in type II supergravity
• $Ad{S}_5\times S^5$ supergravity vertex operators
• Half-BPS Vertex Operators of the $Ad{S}_5\times S^5$ Superstring
• On semiclassical analysis of pure spinor superstring in an AdS_5 x S^5 background
• $\lambda$-Deformation Of The $Ad{S}_5\times S^5$ Pure Spinor Superstring
• Relating the $b$ ghost and the vertex operators of the pure spinor superstring
• Towards the underlying gauge theory of the pure spinor superstring
• D-branes from Pure Spinor Superstring in AdS_5 x S^5 Background
• Refined Partition Functions for Open Superstrings with 4, 8 and 16 Supercharges
• On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)
• Emergence of Superstring from Pure Spinor
• Twistor Origin of the Superstring
• Quantum corrections to $Ad{S}_5\times S^5$ left-invariant superstring current algebra
• Supertwistor description of the $AdS$ pure spinor string
• Pure spinor superstring in AdS_4 x CP^3 with unconstrained ghosts