Gauge and Supersymmetric Invariance of a Boundary Bagger-Lambert-Gustavsson Theory
arXiv:1204.0297 · doi:10.1007/JHEP04(2012)017
Abstract
In this paper we will discuss the effect of a having a boundary on the supersymmetric invariance and gauge invariance of the Bagger-Lambert-Gustavsson (BLG) Theory. We will show that even though the supersymmetry and gauge invariance of the original BLG theory is broken due to the presence of a boundary, it restored by the addition of suitable boundary terms. In fact, to achieve the gauge invariance of this theory, we will have to introduce new boundary degrees of freedom. The boundary theory obeyed by these new boundary degrees of freedom will be shown to be a generalization of the gauged Wess-Zumino-Witten model, with the generators of the Lie algebra replaced by the generators of the Lie 3-algebra. The gauge and supersymmetry variations of the boundary theory will exactly cancel the boundary terms generated by the gauge and supersymmetric variations of the bulk theory.
15 pages, 0 figures, accepted for publication in JHEP
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Cited by in corpus (12)
- Non-anticommutativity in Presence of a Boundary
- Spontaneous Breaking of the BRST Symmetry in the ABJM theory
- Quantum Thermodynamics of an M2-M5 Brane System
- Boundary Effects in the BLG Theory
- Anti-FFBRST Transformations for the BLG Theory in Presence of a Boundary
- Boundary Effects in Super-Yang-Mills Theory
- Novel Symmetries in Christ-Lee Model
- Spontaneous breaking of nilpotent symmetry in boundary BLG theory
- BRST symmetry and Darboux transformations in Abelian 2-form gauge theory
- Polyakov Loops for the ABJ Theory
- General Formalism For the BRST Symmetry
- A mass-deformed BLG theory in Gribov-Zwanziger framework