Condensing Momentum Modes in 2-d 0A String Theory with Flux

TL;DR

This paper analyzes the effects of momentum mode perturbations in 2D type 0A string theory with RR flux, deriving an explicit partition function and exploring phase transitions related to momentum condensation.

Contribution

It provides an explicit analytic form of the genus zero partition function in terms of RR flux and momentum coupling, extending understanding beyond perturbation theory.

Findings

Explicit genus zero partition function in large RR flux limit

No obstruction to momentum mode condensation for 0<p<2

Partition function analyticity allows analysis beyond perturbative regime

Abstract

We use a combination of conformal perturbation theory techniques and matrix model results to study the effects of perturbing by momentum modes two dimensional type 0A strings with non-vanishing Ramond-Ramond (RR) flux. In the limit of large RR flux (equivalently, mu=0) we find an explicit analytic form of the genus zero partition function in terms of the RR flux $q$ and the momentum modes coupling constant alpha. The analyticity of the partition function enables us to go beyond the perturbative regime and, for alpha>> q, obtain the partition function in a background corresponding to the momentum modes condensation. For momenta such that 0<p<2 we find no obstruction to condensing the momentum modes in the phase diagram of the partition function.