Casimir energy for Dirac fields in $AdS_3$

TL;DR

This paper calculates the vacuum Casimir energy for massless Dirac fields in a segment of $AdS_3$ space under specific boundary conditions, revealing how boundary chirality influences quantum energy contributions.

Contribution

It provides a novel calculation of Casimir energy for Dirac fields in $AdS_3$ with boundary conditions based on boundary chirality, expanding understanding of quantum effects in curved spacetime.

Findings

Vacuum energy depends on boundary conditions and chirality choices.

Different boundary configurations yield distinct Casimir energy values.

Results contribute to quantum field theory in curved backgrounds.

Abstract

We study massless Dirac fields in a portion of $AdS_3$, where one of the boundaries coincides with the "boundary at infinity" of the Anti-de-Sitter space. We evaluate the vacuum energy arising when the local boundary conditions dictated by boundary chirality are imposed, in different combinations, at both one-branes.