The Topological Cigar Observables

TL;DR

This paper analyzes the topologically twisted SL(2,R)/U(1) superconformal field theory, revealing its BRST cohomology and spectrum correspondence, which are essential for understanding topological string spectra on non-compact models.

Contribution

It establishes a detailed correspondence between the twisted coset spectrum and Wakimoto module singular vectors, advancing the understanding of topological cigar models.

Findings

BRST cohomology of the topologically twisted cigar identified

Spectrum correspondence with Wakimoto modules established

Implications for topological string spectra on non-compact models

Abstract

We study the topologically twisted cigar, namely the SL(2,R)/U(1) superconformal field theory at arbitrary level, and find the BRST cohomology of the topologically twisted N=2 theory. We find a one to one correspondence between the spectrum of the twisted coset and singular vectors in the Wakimoto modules constructed over the SL(2,R) current algebra. The topological cigar cohomology is the crucial ingredient in calculating the closed string spectrum of topological strings on non-compact Gepner models.