Actions, equations of motion and boundary conditions for Chern-Simons Branes

TL;DR

This paper explores gauge-theoretic actions for extended objects like branes using Chern-Simons and Transgression forms, connecting them to string theory and analyzing their equations, symmetries, and quantization.

Contribution

It introduces a gauge-theoretic framework for branes based on Chern-Simons and Transgression forms, extending string and brane actions with potential for non-perturbative string theory.

Findings

Includes standard Bosonic String Theory as a special case.

Analyzes equations of motion and boundary conditions for these actions.

Discusses gauge and space-time symmetries and tension quantization.

Abstract

Actions for extended objects based on Transgression and Chern-Simons forms for space-time groups and supergroups provide a gauge theoretic framework in which to embed previously studied String and Brane actions, extending them in interesting ways that may be useful in a future non perturbative formulation of String Theory. In this Letter I investigate aspects of the actions of these theories, including equations of motion and boundary conditions, gauge and space-time symmetries, and Dirac quantization of tensions. This theoretical framework is shown to include in certain limit and for a suitable gauge group the standard Bosonic String Theory.