Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)

Abstract

Quantum non-local charges are central to the quantum integrability of a sigma-model. In this paper we study the quantum consistency and UV finiteness of non-local charges of string theory in AdS(5)xS(5). We use the pure spinor formalism. We develop the near-flat space expansion of the transfer matrix and calculate the one-loop divergences. We find that the logarithmic divergences cancel at the level of one loop. This gives strong support to the quantum integrability of the full string theory. We develop a calculational setup for the renormalization group analysis of Wilson line type of operators on the string worldsheet.

arXiv comment52 pages, 5 figures; v3: added explanations and complete proof of the cancellation of the 1-loop logarithmic divergences in Section 6

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Cited by in corpus (22)

• On T-Duality and Integrability for Strings on AdS Backgrounds
• Integrability of the AdS_5 x S^5 superstring and its deformations
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5)
• Superstrings in AdS
• Hamiltonian dynamics and the hidden symmetries of the AdS_5 x S^5 superstring
• Notes on beta-deformations of the pure spinor superstring in AdS(5) x S(5)
• Defect loops in gauged Wess-Zumino-Witten models
• Symmetries of massless vertex operators in AdS(5) x S(5)
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• 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
• Secret Symmetries in AdS/CFT
• Nonlocal Charges for Bonus Yangian Symmetries of Super-Yang-Mills
• On the Non-renormalization of the AdS Radius
• Finite dimensional vertex
• Quantum Current Algebra for the $Ad{S}_5\times S^5$ Superstring
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Integrability of the Gauged Linear Sigma Model for AdS_5xS^5
• Quantum corrections to $Ad{S}_5\times S^5$ left-invariant superstring current algebra
• On the construction of integrated vertex in the pure spinor formalism in curved background