TL;DR
This paper reviews recent progress in understanding the M5-brane in M theory, focusing on its role in gauge theories and the challenges of formulating its self-dual tensor multiplet.
Contribution
It summarizes recent developments in formulating the low energy effective action of the M5-brane, especially concerning the self-dual tensor field.
Findings
Advances in describing the self-dual tensor multiplet.
Insights into the M5-brane's role in gauge theories.
Progress in formulating the M5-brane's effective action.
Abstract
The fivebrane of M theory -- the M5-brane -- is an especially interesting object. It plays a central role in a geometric understanding of the Seiberg-Witten solution of N=2 D=4 gauge theories as well as in certain new 6d quantum theories. The low energy effective action is an interacting theory of a (2,0) tensor multiplet. The fact that this multiplet contains a two-form gauge field with a self-dual field strength poses special challenges. Recent progress in addressing those challenges is reviewed.
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