Geometric Transition, Large N Dualities and MQCD Dynamics

TL;DR

This paper explores Vafa's geometric transition in M-theory, showing how brane configurations transform into fluxes on conifolds, leading to a change from SU(N) MQCD to U(1) theories, and discusses related dimensional reductions and brane creation mechanisms.

Contribution

It provides a detailed analysis of the geometric transition from branes to fluxes in M-theory and its implications for MQCD and lower-dimensional theories.

Findings

Brane disappearance replaced by fluxes on deformed conifold.

Transition from curved M5 branes to plane M5 branes.

Reduction to ten dimensions and brane creation mechanisms discussed.

Abstract

We study Vafa's geometric transition from a brane setup in M-theory. In this transition D5 branes wrapped on P^1 cycles of a resolved conifold disappear and are replaced by fluxes on a deformed conifold. In the limit of small sized P^1, we describe this mechanism as a transition from curved M5 branes to plane M5 branes which replaces SU(N) MQCD by U(1) theories on the bulk. This agrees with the results expected from the geometric transition. We also discuss the reduction to ten dimensions and a brane creation mechanism in the presence of fluxes.