N = 1 super-Chern-Simons theory in Batalin-Vilkovisky formulation

2013/12/01 by Sudhaker Upadhyay · 23 citations
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #BRST quantization #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge theory #Jacobian matrix and determinant #Quantum #Quantum Chromodynamics and Particle Interactions #Symmetry (geometry) #Transformation (genetics) #hep-th #math-ph #math.MP

paper · pdf · doi:10.1209/0295-5075/104/61001

published in Europhysics Letters (EPL) 104(6), 61001 (Institute of Physics) · 7 pages, no figure, Version to appear in EPL

openalex publication_date 2013/12/01 · arxiv created 2014/01/09 · arxiv updated 2014/01/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We analyse the Abelian N=1 super-Chern-Simons model coupled to parity-preserving matter in linear and non-linear gauges with exact BRST invariance. Then we analyse the theory in field/antifield formulation to discuss the model at quantum level. Furthermore, we implement the field/antifield dependent transformation parameter to generalize the BRST symmetry of the theory. The novelty of field/antifield dependent BRST transformation is that under change of variable the Jacobian of the functional integral extends the quantum action from linear gauge to non-linear gauge. The results are established in full generality.

Citations

• Selfdual strings and loop space Nahm equations
• Three-Dimensional Massive Gauge Theories
• Renormalization of gauge theories
• The M2–M5 brane system and a generalized Nahm's equation
• Gauge symmetry and supersymmetry of multiple M2-branes
• 3dN=8Lorentzian Bagger-Lambert-Gustavsson theory as a scaling limit of 3d superconformalN=6Aharony-Bergman-Jafferis-Maldacena theory
• N = 1 super-τ3QED from Atiyah-Ward space-time