Mixed Branes Interaction in Compact Spacetime

TL;DR

This paper analyzes the interactions between two mixed branes in a compactified spacetime, considering external fields and gauge fields, and utilizes boundary state formalism to understand the contributions of massless states.

Contribution

It provides a general framework for mixed branes interactions in compact spaces, incorporating external fields and boundary state formalism for the first time.

Findings

Derived interaction formulas for mixed branes with external fields.

Identified the role of massless states in brane interactions.

Explored specific examples to illustrate the general interaction mechanisms.

Abstract

We present a general description of two mixed branes interactions. For this we consider two mixed branes with dimensions p_1 and p_2, in external field B_{\mu\nu} and arbitrary gauge fields A^1_{\alpha_1} and A^2_{\alpha_2} on the world volume of them, in spacetime in which some of its directions are compactified on circles with different radii. Some examples are considered to clear these general interactions. Finally contribution of the massless states on the interactions is extracted. Closed string with mixed boundary conditions and boundary state formalism, provide useful tools for calculation of these interactions.