Super Virasoro Ghost Algebra using the Conformal Ghosts

TL;DR

This paper constructs superconformal ghost generators using conformal ghosts and gamma matrices, deriving the super-Virasoro algebra and anomalies for both NS and R sectors.

Contribution

It introduces a novel method to build superconformal ghost generators with gamma matrices, expanding the understanding of super-Virasoro algebra structures.

Findings

Superconformal ghost generators are explicitly constructed.

Super-Virasoro algebra is derived for both NS and R sectors.

Anomaly terms are calculated using Jacobi identity.

Abstract

Superconformal ghost current generators of conformal dimension 3/2 are constructed using the conformal ghosts and anticommuting infinite dimensional gamma matrices of the Clifford algebra. The super-Virasoro algebra for the ghosts in both the N.S. and R sectors are presented. The anomaly terms in both cases are deduced using Jacobi identity.