Gauge Symmetry in Background Charge Conformal Field Theory

TL;DR

This paper develops a method to construct four-dimensional charged massless Ramond states using background charge conformal field theory, linking supergravity, string theory, and gauge symmetries with novel algebraic structures.

Contribution

It introduces a new mechanism for constructing Ramond states in background charge CFT and explores their gauge symmetry properties and algebraic structures.

Findings

Constructed charged massless Ramond states using fivebrane Liouville CFT.

Established connections between supergravity solutions and conformal field theory.

Analyzed the mixing of super Kac-Moody and super Virasoro algebras.

Abstract

We present a mechanism to construct four-dimensional charged massless Ramond states using the discrete states of a fivebrane Liouville internal conformal field theory. This conformal field theory has background charge, and admits an inner product which allows positive norm states. A connection among supergravity soliton solutions, Liouville conformal field theory, non-critical string theory and their gauge symmetry properties is given. A generalized construction of the SU(2) super Kac-Moody algebra mixing with the N=1 super Virasoro algebra is analyzed. How these Ramond states evade the DKV no-go theorem is explained.