Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background

TL;DR

This paper completes the derivation of self-dual relations for the M5-brane's two-form gauge field in a Nambu-bracket framework, and explores the Seiberg-Witten map for string solitons in a constant C-field background.

Contribution

It extends previous work by including all fields in the M5-brane action and analyzes the Seiberg-Witten map for BPS string solitons at first order in interaction strength.

Findings

Derived full self-dual relations including all M5-brane fields.

Examined Seiberg-Witten map for BPS string solitons.

Analyzed effects of Nambu-bracket interactions on soliton conditions.

Abstract

The derivation of the self-dual relations for the two-form gauge field in the Nambu-bracket description of M5-brane in a constant C-field background initiated in arXiv:0907.4596 is completed by including contributions from all the fields in the M5-brane action. The result is used to examine Seiberg-Witten map of the BPS conditions for the string solitons, up to the first order in the expansion by the parameter $g$ which characterizes the strength of the interactions through the Nambu-bracket.