Interaction of Branes at Angles in M(atrix) Model

TL;DR

This paper calculates the interactions of rotated Dp-branes at various angles within the M(atrix) model and confirms their agreement with string theory results, highlighting the importance of fermionic zero modes in the four-angle case.

Contribution

It provides a detailed comparison between M(atrix) model calculations and string theory for branes at multiple angles, including the role of zero modes.

Findings

Agreement with string theory for 1-3 angles

Additional zero mode contribution needed for 4 angles

Validates M(atrix) model as a tool for brane interaction analysis

Abstract

Interactions of relatively rotated Dp-branes in 1, 2, 3 and 4 angles in M(atrix) model are calculated and it is found to be in agreement with string theory calculations. In 4 angles case the agreement is achieved after subtracting the contribution of the single chiral fermionic zero mode.