2011/12/31 by Mir Faizal, Douglas J. Smith · 48 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #BRST quantization #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Chern–Simons theory #Formalism (music) #Gauge theory #Geometry #Homogeneous space #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Superspace #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevd.85.105007
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 85(10) (American Physical Society) · 22 pages, 0 figures, accepted for publication in Phys. Rev. D
arxiv created 2012/04/14 · openalex publication_date 2012/05/09 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we analyze super-Chern-Simons theory in N=1 superspace formalism, in the presence of a boundary. We modify the Lagrangian for the Chern-Simons theory in such a way that it is supersymmetric even in the presence of a boundary. Also, even though the Chern-Simons theory is not gauge invariant in the presence of a boundary, if it is suitably coupled to a gauged Wess-Zumino-Witten model, then the resultant theory can be made gauge invariant. Thus, by suitably adding extra boundary degrees of freedom, the gauge and supersymmetry variations of the boundary theory exactly cancel the boundary terms generated by the variations of the bulk Chern-Simons theory. We also discuss how this can be applied to the Aharony-Bergman-Jafferis-Maldacena model in N=1 superspace, and we then describe the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetries of the resultant gauge invariant supersymmetric theory.