Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
Volume
2012
Pagination
121 - ?
Publisher
DOI
10.1007/jhep05(2012)121
Journal
Journal of High Energy Physics
Issue
ISSN
1126-6708
Metadata
Show full item recordAbstract
We show that the ABJM theory, which is an
superconformal U(N) × U(N) Chern-Simons gauge theory, can be studied for arbitrary N at arbitrary coupling constant by applying a simple Monte Carlo method to the matrix model that can be derived from the theory by using the localization technique. This opens up the possibility of probing the quantum aspects of M-theory and testing the AdS4/CFT3 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. Furthermore, we show that some results obtained by the Fermi gas approach can be clearly understood from the constant map contribution obtained by the genus expansion. The method can be easily generalized to the calculations of BPS operators and to other theories that reduce to matrix models.
Authors
Hanada, M; Honda, M; Honma, Y; Nishimura, J; Shiba, S; Yoshida, YCollections
- Mathematics [1686]