One Loop Conformal Invariance of the Superstring in an AdS_5 x S^5 Background

Abstract

It is proven that the pure spinor superstring in an AdS_5 x S^5 background remains conformally invariant at one loop level in the sigma model perturbation theory.

arXiv comment14 pages harvmac

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• Strings on Semisymmetric Superspaces
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• The Konishi multiplet at strong coupling
• Origin of Pure Spinor Superstring
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Higher genus superstring amplitudes from the geometry of moduli spaces
• On Hidden Symmetries of a Super Gauge Theory and Twistor String Theory
• Conformal Invariance of the Pure Spinor Superstring in a Curved Background
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• A Note on the Classical BRST Symmetry of the Pure Spinor String in a Curved Background
• A New Limit of the AdS_5 x S^5 Sigma Model
• Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
• Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing
• Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)
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• On the Non-renormalization of the AdS Radius
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• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Pure Spinor Strings in TsT Deformed Background
• Self-Dual Super-Yang-Mills as a String Theory in $(x,\theta )$ Space
• Quantum Current Algebra for the $Ad{S}_5\times S^5$ Superstring
• Hamiltonian Analysis of Non-Linear Sigma Model on Supercoset Target
• 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
• D=4 Pure Spinor Superstring and N=2 Strings
• Reduced Sigma-Model on O(N): Hamiltonian Analysis and Poisson Bracket of Lax Connection
• On D-Brane Boundary State Analysis in Pure-Spinor Formalism
• BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
• The Pure Spinor Formulation of Superstrings
• D-branes from Pure Spinor Superstring in AdS_5 x S^5 Background
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• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Master symmetry in the $Ad{S}_5\times S^5$ pure spinor string
• Non-BPS D-Branes in Light-Cone Green-Schwarz Formalism
• Integrability of the Gauged Linear Sigma Model for AdS_5xS^5
• SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2
• Quantum corrections to $Ad{S}_5\times S^5$ left-invariant superstring current algebra
• Algebra of Lax Connection for T-Dual Models
• Pure spinor superstring in AdS_4 x CP^3 with unconstrained ghosts
• Towards Pure Spinor Type Covariant Description of Supermembrane -- An Approach from the Double Spinor Formalism --