N=2 four-dimensional gauge theories from fractional branes

TL;DR

This paper explores how fractional D-branes in a specific orbifold setup relate to N=2 super Yang-Mills theories, showing supergravity captures perturbative aspects but not non-perturbative corrections, with the enhancon mechanism playing a key role.

Contribution

It provides a detailed supergravity analysis of fractional branes in an orbifold, linking them to N=2 gauge theories and discussing the limitations in capturing non-perturbative effects.

Findings

Supergravity reproduces the perturbative moduli space.

Enhancon mechanism excises the IR region in supergravity.

Non-perturbative corrections require additional states.

Abstract

This is a pedagogical and extended version of the results published in Refs. [1,2] and presented by the authors in various talks during the last year. We discuss the type II D-branes (both regular and fractional) of the orbifold R^{1,5}*R^4/Z_2, we determine their corresponding supergravity solution and show how this can be used to study the properties of N=2 super Yang-Mills. Supergravity is able to reproduce the perturbative moduli space of the gauge theory, while it does not encode the non-perturbative corrections. The short distance region of space-time, which corresponds to the infrared region of the gauge theory, is excised by an enhancon mechanism, and more states should be included in the low energy effective action in order to enter inside the enhancon and recover the instanton corrections. (To be published on a Memorial Volume commemorating Michael Marinov)