ON THE GENERALIZED ACTION PRINCIPLE FOR SUPERSTRINGS AND SUPERMEMBRANES

TL;DR

This paper develops a geometrical superfield approach to super-p-branes using the group-manifold method, resulting in a superstring action free of redundant symmetries and propagating fields, derived solely from geometric principles.

Contribution

It introduces a new superfield formulation of super-p-branes based on the group-manifold approach, avoiding Lagrange multipliers and simplifying the symmetry structure.

Findings

Super-p-brane action constructed from geometric objects.

Elimination of infinite irreducible symmetries.

Constraints arise naturally from the action as differential form equations.

Abstract

We revise the twistor--like superfield approach to describing super--p--branes by use of the basic principles of the group--manifold approach \cite{rheo}. A super--p--brane action is constructed solely of geometrical objects as the integral over a (p+1)--surface. The Lagrangian is the external product of supervielbein differential forms in world supersurface and target superspace without any use of Lagrange multipliers. This allows one to escape the problem of infinite irreducible symmetries and redundant propagating fields. All the constraints on the geometry of world supersurface and the conditions of its embedding into target superspace arise from the action as differential form equations.