Vacuum polarization of supersymmetric D-brane in the constant electromagnetic field
Tomoko Kadoyoshi, Shin'ichi Nojiri, Sergei D. Odintsov, and Akio, Sugamoto

TL;DR
This paper calculates the one-loop effective potential for supersymmetric toroidal D-branes in constant electromagnetic fields, showing that supersymmetry causes the potential to vanish.
Contribution
It provides an explicit calculation of vacuum polarization effects for supersymmetric D-branes in electromagnetic backgrounds, highlighting the role of supersymmetry in canceling quantum corrections.
Findings
One-loop potentials vanish due to supersymmetry
Explicit calculations for magnetic and electric backgrounds
Demonstrates supersymmetry's canceling effect on vacuum polarization
Abstract
We study the vacuum polarization of supersymmetric toroidal D-brane placed in the constant electromagnetic field. Explicit calculation of the one-loop effective potential is performed for membrane with constant magnetic or electric background. We find the one-loop potentials vanish as the effect of supersymmetry,
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