Electric and magnetic interaction of dyonic D-branes and odd spin structure

TL;DR

This paper explores electromagnetic interactions between dyonic D-branes, revealing that electric-magnetic interactions are characterized by RR odd spin structures, with detailed analysis of a self-dual 3-brane as a dyonic black hole analog.

Contribution

It provides a general framework for understanding RR interactions between magnetically and electrically charged D-branes, highlighting the role of odd and even spin structures in these interactions.

Findings

Electric-electric and magnetic-magnetic interactions correspond to RR even spin structures.

Magnetic-electric interactions are described by RR odd spin structures.

Detailed analysis of a self-dual 3-brane as a dyonic black hole.

Abstract

We present a general description of electromagnetic RR interactions between pairs of magnetically dual D-branes, focusing on the interaction of a magnetically charged brane with an electrically charged one. In the boundary state formalism, it turns out that while the electric-electric and/or magnetic-magnetic interaction corresponds to the usual RR even spin structure, the magnetic-electric interaction is described by the RR odd spin structure. As representative of the generic case of a dual pair of p and 6-p branes, we discuss in detail the case of the self-dual 3-brane wrapped on a T_6/Z_3, which looks like an extremal dyonic black hole in 4 dimensions.