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.

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

References in corpus (3)

• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• On AdS_5 x S^5 String S-matrix
• Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)

Cited by in corpus (7)

• On T-Duality and Integrability for Strings on AdS Backgrounds
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5)
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• On the Non-renormalization of the AdS Radius
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Integrability of the Gauged Linear Sigma Model for AdS_5xS^5