Notes on beta-deformations of the pure spinor superstring in AdS(5) x S(5)

Abstract

We study the properties of the vertex operator for the beta-deformation of the superstring in AdS(5) x S(5) in the pure spinor formalism. We discuss the action of supersymmetry on the infinitesimal beta-deformation, the application of the homological perturbation theory, and the relation between the worldsheet description and the spacetime supergravity description.

arXiv commentLaTeX, 74pp.

References in corpus (22)

• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Lax Pair for Strings in Lunin-Maldacena Background
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• Quantum Consistency of the Superstring in AdS_5 x S^5 Background
• Superstring Vertex Operators in an AdS_5 x S^5 Background
• Green-Schwarz Strings in TsT-transformed backgrounds
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• On Exactly Marginal Deformations of N=4 SYM and Type IIB Supergravity on AdS_5 * S^5
• Towards a Worldsheet Derivation of the Maldacena Conjecture
• Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism
• BRST Cohomology and Nonlocal Conserved Charges
• Integrable twists in AdS/CFT
• Perturbative Super-Yang-Mills from the Topological AdS_5xS^5 Sigma Model
• Symmetries of massless vertex operators in AdS(5) x S(5)
• Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
• Conformal invariance of the planar beta-deformed N=4 SYM theory requires beta real
• One-loop Conformal Invariance of the Type II Pure Spinor Superstring in a Curved Background
• Anomalous dimension and local charges
• Pure Spinor Strings in TsT Deformed Background
• A review of integrable deformations in AdS/CFT

Cited by in corpus (22)

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• Generalized type IIB supergravity equations and non-Abelian classical r-matrices
• $I$ in generalized supergravity
• Superstrings in AdS
• Cornering the unphysical vertex
• Finite dimensional vertex
• A construction of integrated vertex operator in the pure spinor sigma-model in AdS5xS5
• Yang-Baxter Deformations of the $Ad{S}_5\times S^5$ Pure Spinor Superstring
• Half-BPS Vertex Operators of the $Ad{S}_5\times S^5$ Superstring
• $Ad{S}_5\times S^5$ supergravity vertex operators
• $\lambda$-Deformation Of The $Ad{S}_5\times S^5$ Pure Spinor Superstring
• A superfield realization of the integrated vertex operator in an $Ad{S}_5\times S^5$ background
• A minimalistic pure spinor sigma-model in AdS
• AdS pure spinor superstring in constant backgrounds
• Master symmetry in the $Ad{S}_5\times S^5$ pure spinor string
• Vertex operators for the plane wave pure spinor string
• Supermultiplet of $\beta -$deformations from twistors
• Deformations, renormgroup, symmetries, AdS/CFT
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
• Geometrical framework for picture changing operators in the pure spinor formalism
• Beta deformed sigma model and strong deformation coupling limit
• Supertwistor description of the $AdS$ pure spinor string