World Volume Action for Fractional Branes

TL;DR

This paper investigates the world volume action of fractional Dp-branes in type IIA string theory on an orbifold, analyzing their geometric relations and low-energy interactions through conformal techniques and scattering amplitudes.

Contribution

It provides a detailed analysis of fractional branes' world volume actions and their geometric interpretation, confirming consistency with boundary actions via scattering amplitude calculations.

Findings

Leading low-energy interactions match the boundary action derived geometrically.

Conformal techniques effectively relate fractional branes to wrapped branes.

Scattering amplitudes support the geometric interpretation of fractional branes.

Abstract

We study the world volume action of fractional Dp-branes of type IIA string theory compactified on the orbifold T^4/Z_2. The geometric relation between these branes and wrapped branes is investigated using conformal techniques. In particular we examine in detail various scattering amplitudes and find that the leading low-energy interactions are consistent with the boundary action derived geometrically.