On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling

TL;DR

This paper investigates the thermodynamic properties of N=6 superconformal Chern-Simons theories at strong coupling, analyzing quantum corrections from M-theory and string theory to understand their entropy behavior.

Contribution

It provides the first calculation of one-loop M-theory corrections and alpha' string corrections to the entropy of the dual field theory at strong coupling.

Findings

One-loop M-theory correction to entropy computed.

Alpha' string correction to entropy derived for large k.

Different structures observed between M-theory and string corrections.

Abstract

Recently it has been conjectured that N=6, U(N)_{k} \times U(N)_{-k} Chern-Simons theory is dual to M-theory on AdS_4\times S^7/Z_{k}. By studying one-loop correction to the M-theory effective action, we calculate the correction to the entropy of thermal field theory at strong coupling. For large k level, we have also found the alpha' correction to the entropy from the string correction of the type IIA effective action. The structure of these two corrections at strong t'Hooft coupling are different.