The Geometry of Fractional D1-branes

TL;DR

This paper derives explicit supergravity solutions for fractional D1-branes in Type IIB string theory on orbifold backgrounds, revealing insights into gauge theory coupling running and moduli space geometry.

Contribution

It provides the first explicit supergravity solutions for fractional D1-branes on R^4/Z_2, linking string geometry to gauge theory dynamics.

Findings

Perturbative running of the gauge coupling is captured.

The metric on the moduli space of N=4, D=2 Super Yang Mills is derived.

Explicit supergravity solutions for fractional D1-branes are presented.

Abstract

We find explicit solutions of Type IIB string theory on R^4/Z_2 corresponding to the classical geometry of fractional D1-branes. From the supergravity solution obtained, we capture perturbative information about the running of the coupling constant and the metric on the moduli space of N=4, D=2 Super Yang Mills.