Spontaneous breaking of nilpotent symmetry in boundary BLG theory
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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