General Virasoro Construction on Orbifold Affine Algebra

TL;DR

This paper derives a general equation for constructing Virasoro algebras on orbifold affine algebras, extending known cases and introducing new stress tensor constructions with potential novel interpretations.

Contribution

It introduces the orbifold Virasoro master equation (OVME) that generalizes existing constructions and includes new classes of stress tensors beyond conventional orbifolds.

Findings

Derived the orbifold Virasoro master equation (OVME) for integer lambda

Included known Virasoro constructions as special cases (lambda=1)

Discovered new stress tensor constructions without conventional orbifold interpretation

Abstract

We obtain the orbifold Virasoro master equation (OVME) at integer order lambda, which summarizes the general Virasoro construction on orbifold affine algebra. The OVME includes the Virasoro master equation when lambda=1 and contains large classes of stress tensors of twisted sectors of conventional orbifolds at higher lambda. The generic construction is like a twisted sector of an orbifold (with non-zero ground state conformal weight) but new constructions are obtained for which we have so far found no conventional orbifold interpretation.