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arXiv · 1211.6844

Monte Carlo studies of 3d N=6 SCFT via localization method

Masazumi Honda·Masanori Hanada·Yoshinori Honma·Jun Nishimura·Shotaro Shiba·Yutaka Yoshida
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Abstract

We perform Monte Carlo study of the 3d N=6 superconformal U(N)*U(N) Chern-Simons gauge theory (ABJM theory), which is conjectured to be dual to M-theory or type IIA superstring theory on certain AdS backgrounds. Our approach is based on a localization method, which reduces the problem to the simulation of a simple matrix model. This enables us to circumvent the difficulties in the original theory such as the sign problem and the SUSY breaking on a lattice. The new approach opens up the possibility of probing the quantum aspects of M-theory and testing the AdS_4/CFT_3 duality at the quantum level. Here we calculate the free energy, and confirm the N^{3/2} scaling in the M-theory limit predicted from the gravity side. We also find that our results nicely interpolate the analytical formulae proposed previously in the M-theory and type IIA regimes.

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Masazumi Honda, Masanori Hanada, Yoshinori Honma, Jun Nishimura, Shotaro Shiba, Yutaka Yoshida. 2012-11-29. Monte Carlo studies of 3d N=6 SCFT via localization method. https://arxiv.org/abs/1211.6844

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