Nambu brackets, Chern–Simons theories, quantum curves and M2-branes

Author:

Moriyama Sanefumi123ORCID

Affiliation:

1. Department of Mathematics and Physics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan

2. Nambu Yoichiro Institute of Theoretical and Experimental Physics (NITEP), Osaka City University, 3-3-138 Sugimoto Sumiyoshi-ku, Osaka-shi, 558-8585, Japan

3. Osaka City University Advanced Mathematical Institute (OCAMI), 3-3-138 Sugimoto, Sumiyoshi, Osaka 558-8585, Japan

Abstract

Abstract A non-technical review on recent progress in M2-branes is given. We focus especially on (1) historical progress in searching for the worldvolume theory of M2-branes using Nambu brackets and supersymmetric Chern–Simons theories, (2) studies of the ABJM matrix model obtained from localization using various techniques and (3) new insights of quantum curves derived from the studies of the ABJM matrix model.

Publisher

Oxford University Press (OUP)

Subject

General Physics and Astronomy

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