Spontaneous breaking of nilpotent symmetry in boundary BLG theory
Sudhaker Upadhyay
TL;DR
This paper investigates how boundary terms can preserve supersymmetry in BLG theory and uncovers spontaneous BRST symmetry breaking caused by ghost-anti-ghost condensation, especially in certain gauges.
Contribution
It demonstrates the spontaneous breaking of BRST symmetry in BLG theory due to ghost-anti-ghost condensates in specific gauges, extending understanding of gauge symmetry breaking mechanisms.
Findings
BRST symmetry spontaneously breaks in BLG theory with DJBTM gauge.
Ghost-anti-ghost condensation causes the symmetry breaking.
Analysis of ghost condensates in the modified maximally Abelian gauge.
Abstract
We exploit boundary term to preserve the supersymmetric gauge invariance of Bagger--Lambert--Gustavsson (BLG) theory. The fermionic rigid BRST and anti-BRST symmetries are studied in linear and non-linear gauges. Remarkably, for Delbourgo-Jarvis-Baulieu-Thierry-Mieg (DJBTM) type gauge the spontaneous breaking of BRST symmetry occurs in the BLG theory. The responsible guy for such spontaneous breaking is ghost-anti-ghost condensation. Further, we discuss the ghost-anti-ghost condensates in the modified maximally Abelian (MMA) gauge in the BLG theory.
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