Computing 1/N² corrections in AdS/CFT

الأصل · EN

Stringy corrections in AdS/CFT generally fall into the category of either α' effects or string loop effects, corresponding to 1/λand 1/N corrections, respectively, in the dual field theory. While α'³R⁴ corrections have been well studied, at least in the context of N=4 super-Yang-Mills, less is known about the 1/N² corrections arising from closed string loops. In this paper, we consider AdS₅ x SE₅ compactifications of the IIB string, and compute the closed string loop correction to the anomaly coefficients a and c in the dual field theory. For T¹,¹ reductions, we find the string loop correction to yield c-a=1/24, which is the contribution to c-a of a free N=2 hypermultiplet. We also comment on reductions to lower dimensional AdS theories as well as the nature of T-duality with higher derivatives.