Superspace Geometrical Realization of the N-Extended Super Virasoro Algebra and its Dual

TL;DR

This paper explores the mathematical structure of N-extended super Virasoro algebras, revealing their geometric realization and potential connections to supergravity and string theories through their spectrum of fields.

Contribution

It provides a superspace geometric realization of N-extended super Virasoro algebras, including central extensions and primary fields, linking algebraic structures to supergravity spectra.

Findings

Derived properties of N-extended super Virasoro algebras

Identified all primary fields and their actions

Suggested correspondence with supergravity and superstring spectra

Abstract

We derive properties of N-extended GR super Virasoro algebras. These include adding central extensions, identification of all primary fields and the action of the adjoint representation on its dual. The final result suggest identification with the spectrum of fields in supergravity theories and superstring/M-theory constructed from NSR N-extended supersymmetric ${\cal {GR}}$ Virasoro algebras.