AdS 4/CFT 3 at one loop

Abstract

I consider semi-classical type IIA strings rotating in the AdS 4 part of AdS 4 × ℂℙ 3. The one loop sigma model corrections to this classical solution are used to compute the energy shift, and the result is found to be E-S = f(λ)ln S with f(λ) = (√2λ) 1/2-(5ln 2/2π)+(1/√λ) 1/2). Even though the functional forms match, the actual numerical value of this one loop string result differs from the result obtained on the integrable N = 6 Chern-Simons (ABJM) theory side. © 2008 SISSA.SCOPUS: ar.jinfo:eu-repo/semantics/publishe