Vacuum energy for the supersymmetric twisted D-brane in constant electromagnetic field

TL;DR

This paper calculates the vacuum energy of twisted supersymmetric D-branes in constant electromagnetic fields, revealing stable minima in electric fields that suggest potential ground states for these configurations.

Contribution

It introduces a calculation of vacuum energy for twisted SUSY D-branes in electromagnetic backgrounds, highlighting stable minima in electric fields as a new insight.

Findings

Stable minima found in vacuum energy for electric fields.

Potential ground states indicated by energy behavior.

Analysis specific to toroidal D-branes with p=2.

Abstract

We calculate vacuum energy for twisted SUSY D-brane on toroidal background with constant magnetic or constant electric field. Its behaviour for toroidal D-brane (p=2) in constant electric field shows the presence of stable minimum for twisted versions of the theory. That indicates such a background maybe reasonable groundstate.