Quantum Current Algebra for the $Ad{S}_5\times S^5$ Superstring

Abstract

The sigma model describing the dynamics of the superstring in the $Ad{S}_5\times S^5$ background can be constructed using the coset $PSU(2,2|4)/SO(4,1)\times SO(5)$. A basic set of operators in this two dimensional conformal field theory is composed by the left invariant currents. Since these currents are not (anti) holomorphic, their OPE's is not determined by symmetry principles and its computation should be performed perturbatively. Using the pure spinor sigma model for this background, we compute the one-loop correction to these OPE's. We also compute the OPE's of the left invariant currents with the energy momentum tensor at tree level and one loop.

28 pages, 12 figures, v2: typos corrected.

References in corpus (7)

• Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5)
• 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)
• The conformal current algebra on supergroups with applications to the spectrum and integrability
• Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)
• On the Non-renormalization of the AdS Radius
• Superspace Type II 4D Supergravity from Type II Superstring

Cited by in corpus (9)

• Superstrings in AdS
• Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing
• Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
• First-principles derivation of the AdS/CFT Y-systems
• Taming the b antighost with Ramond-Ramond flux
• $Ad{S}_5\times S^5$ supergravity vertex operators
• AdS pure spinor superstring in constant backgrounds
• $\mathcal{S}\mathcal{W}$-algebras and strings with torsion
• Quantum corrections to $Ad{S}_5\times S^5$ left-invariant superstring current algebra