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arXiv · 0807.4561

AdS4/CFT3 at One Loop

Chethan Krishnan
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Abstract

I consider semi-classical type IIA strings rotating in the AdS4 part of AdS4 X CP3. 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(lambda) ln S with f(lambda)= sqrt{2 lambda} - 5 ln 2 /2 pi + O (1/sqrt{lambda}). 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.

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Chethan Krishnan. 2009-11-24. AdS4/CFT3 at One Loop. https://doi.org/10.1088/1126-6708%2F2008%2F09%2F092

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