On the equivalence of different formulations of the M Theory five--brane

TL;DR

This paper demonstrates the equivalence between the equations of motion derived from a new kappa-invariant action for the M theory five-brane and those obtained from a geometrical approach, confirming consistency across formulations.

Contribution

It establishes the equivalence of different formulations of the M theory five-brane equations of motion, bridging the kappa-invariant action and the geometrical approach.

Findings

Equivalence of equations of motion from two formulations

Validation of the kappa-invariant action approach

Consistency with the geometrical approach

Abstract

We show that the field equations for the supercoordinates and the self--dual antisymmetric tensor field derived from the recently constructed kappa-invariant action for the M theory five-brane are equivalent to the equations of motion obtained in the doubly supersymmetric geometrical approach at the worldvolume component level.