Effective Supergravity Actions for Conifold Transitions

TL;DR

This paper develops gauged supergravity models that capture the behavior of M-theory near conifold transitions, explicitly incorporating charged hypermultiplets from wrapped M2-branes and providing a detailed effective action.

Contribution

It introduces a novel supergravity framework that includes charged hypermultiplets and models conifold transitions with explicit dependence on M2-brane charges.

Findings

Effective supergravity actions for conifold transitions are constructed.

Charged hypermultiplets are included via Wolf spaces approximation.

The effective action is uniquely determined by M2-brane charges.

Abstract

We construct gauged supergravity actions which describe the dynamics of M-theory on a Calabi-Yau threefold in the vicinity of a conifold transition. The actions explicitly include N charged hypermultiplets descending from wrapped M2-branes which become massless at the conifold point. While the vector multiplet sector can be treated exactly, we approximate the hypermultiplet sector by the non-compact Wolf spaces X(1+N). The effective action is then uniquely determined by the charges of the wrapped M2-branes.