Non-anticommutativity in Presence of a Boundary

Abstract

In this paper we consider non-anticommutative field theories in $\mathcal{N}=2$ superspace formalism on three-dimensional manifolds with a boundary. We modify the original Lagrangian in such a way that it preserves half the supersymmetry even in the presence of a boundary. We also analyse the partial breaking of supersymmetry caused by non-anticommutativity between fermionic coordinates. Unlike in four dimensions, in three dimensions a theory with $\mathcal{N}=1/2$ supersymmetry cannot be obtained by a non-anticommutative deformation of an $\mathcal{N}=1$ theory. However, in this paper we construct a three dimensional theory with $\mathcal{N}=1/2$ supersymmetry by studying a combination of non-anticommutativity and boundary effects, starting from $\mathcal{N}=2$ supersymmetry.

13 pages, 0 figures, accepted for publication in Phys. Rev. D

References in corpus (4)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Notes on Supersymmetry Enhancement of ABJM Theory
• On 3d N=8 Lorentzian BLG theory as a scaling limit of 3d superconformal N=6 ABJM theory
• Non(anti)commutative N=2 Supersymmetric Gauge Theory from Superstrings in the Graviphoton Background

Cited by in corpus (15)

• Supersymmetry Breaking as a new source for the Generalized Uncertainty Principle
• Time-dependent Aharonov-Bohm effect on the noncommutative space
• Super-Yang-Mills Theory in SIM(1) Superspace
• Quantum Gauge Freedom in Very Special Relativity
• Gauge and Supersymmetry Invariance of N=2 Boundary Chern-Simons Theory
• Boundary Effects in the BLG Theory
• Chern-Simons Theory in SIM(1) Superspace
• Anti-FFBRST Transformations for the BLG Theory in Presence of a Boundary
• Supersymmetric Chern-Simons Theory in Presence of a Boundary in the Light-Like Direction
• Boundary Effects in Super-Yang-Mills Theory
• Classical electrodynamics in a space with spin noncommutativity of coordinates
• Spontaneous breaking of nilpotent symmetry in boundary BLG theory
• Supersymmetric Duality in Deformed Superloop Space
• On the alternative formulation of the three-dimensional noncommutative superspace
• Generalized Faddeev-Popov Method for a Deformed Supersymmetric Yang-Mills Theory