First-principles derivation of the AdS/CFT Y-systems

Autor:	Benichou, Raphael
Rok vydání:	2011
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP10(2011)112
Popis:	We provide a first-principles, perturbative derivation of the AdS5/CFT4 Y-system that has been proposed to solve the spectrum problem of N=4 SYM. The proof relies on the computation of quantum effects in the fusion of some loop operators, namely the transfer matrices. More precisely we show that the leading quantum corrections in the fusion of transfer matrices induce the correct shifts of the spectral parameter in the T-system. As intermediate steps we study UV divergences in line operators up to first order and compute the fusion of line operators up to second order for the pure spinor string in AdS5xS5. We also argue that the derivation can be easily extended to other integrable models, some of which describe string theory on AdS4, AdS3 and AdS2 spacetimes. Comment: 45 pages, 5 figures; v2: minor additions, JHEP version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1108.4927 Zobrazit plný text záznamu View this record from Arxiv