Cosets as gauge slices in SU(1,1) strings

TL;DR

This paper demonstrates that in an SU(1,1) string theory combined with a unitary conformal field theory, solutions to the Virasoro constraints correspond to states in the Euclidean coset SU(1,1)/U(1), confirming a gauge choice at the quantum level.

Contribution

It establishes the quantum validity of a time-like gauge in SU(1,1) string models by linking solutions to the Virasoro conditions with Euclidean coset states.

Findings

Virasoro solutions lie in SU(1,1)/U(1) coset

Quantum gauge validity confirmed

Supports time-like gauge in SU(1,1) models

Abstract

We consider a string theory based on an SU(1,1) Wess-Zumino-Novikov-Witten model and an arbitrary unitary conformal fild theory. We show that the solutions of the Virasoro conditions, in the unitarity regime of the SU(1,1) theory, are states which lie in the Euclidean coset SU(1,1)/U(1). This shows the validity, at the quantum level, of a time-like type of gauge in these models.