One Loop Effects in Various Dimensions and D-Branes

TL;DR

This paper computes one-loop topological corrections to effective actions in various dimensions, focusing on super Yang-Mills theories derived from higher-dimensional Weyl fermions, with implications for D-brane gauge interactions.

Contribution

It provides new calculations of one-loop topological effects in reduced-dimensional theories and offers an interpretation related to gauge fields on D-branes.

Findings

Calculated one-loop topological corrections in diverse dimensions.

Identified the role of background gauge fields in D-brane effective actions.

Connected quantum effects to gauge field couplings on branes.

Abstract

We calculate some one loop corrections to the effective action of theories in $d$ dimensions that arise on the dimensional reduction of a Weyl fermion in $D$ dimensions. The terms that we are interested in are of a topological nature. Special attention is given to the effective actions of the super Yang Mills theories that arise on dimensional reduction of the N=1 theory in six dimensions or on the dimensional reduction of the N=1 theory in ten dimensions. In the latter case we suggest an interpretation of the quantum effect as a coupling of the gauge field on the brane to a relative background gauge field.