New Vacua for Type II String Theory

TL;DR

This paper explores new stable vacua in type II string theory arising from Lorentz-invariant antisymmetric tensor field configurations in Calabi-Yau compactifications, revealing potential minima at zero coupling or conifold points with implications for string geometry.

Contribution

It introduces novel vacua in type IIA string theory with specific field configurations, suggesting generalized Calabi-Yau spaces with unique properties.

Findings

Potential minima at zero coupling and conifold points

Existence of a flat direction with black hole condensate

Proposal of generalized Calabi-Yau spaces with c_1=0 but non-Kahler

Abstract

Lorentz-invariant expectation values for antisymmetric tensor field strengths in Calabi-Yau compactification of IIA string theory are considered. These are found to impart magnetic and/or electric charges to the dilaton hypermultiplet. This results in a potential which can have supersymmetric minima at zero coupling or at conifold points in the moduli space. The latter occurs whenever the dilaton charge is aligned with that of the light black hole at the conifold. It is shown that there is a flat direction extending from the conifold along which there is a black hole condensate whose strength is of order the string coupling $g_s$. It is speculated that these new vacua correspond to string compactification on generalized Calabi-Yau spaces which have $c_1=0$ but are not Kahler.