M-Theory on Deformed Superspace

Abstract

In this paper we will analyse a noncommutative deformation of the ABJM theory in N=1 superspace formalism. We will then analyse the BRST and the anti-BRST symmetries for this deformed ABJM theory, in linear as well as non-linear gauges. We will show that the sum of gauge fixing term and the ghost term for this deformed ABJM theory can be expressed as a combination of the total BRST and the total anti-BRST variation, in Landau and non-linear gauges. We will show that in Landau and Curci-Ferrari gauges this deformed ABJM theory is invariant under a additional set of symmetry transformations. We will also discuss the effect that the addition of a bare mass term has on this theory.

16 pages, 0 figures, accepted for publication in Phys Rev D

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Cited by in corpus (38)

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• Finite BRST Transformations for the Bagger-Lambert-Gustavasson Theory
• Supersymmetric Chern-Simons Theory in Presence of a Boundary
• M-Theory in the Gaugeon Formalism
• Finite field-dependent BRST symmetry for ABJM theory in $\mathcal{N}=1$ superspace
• The noncovariant gauges in 3-form theories
• Deformation of the ABJM Theory
• Spontaneous Breaking of the BRST Symmetry in the ABJM theory
• Deformed Super-Yang-Mills in Batalin-Vilkovisky Formalism
• Noether's Charge in the Super-Group Field Cosmology
• Quantum Gauge Freedom in Very Special Relativity
• Aspects of ABJ Theory
• Boundary Effects in the BLG Theory
• Chern-Simons Theory in SIM(1) Superspace
• Non-anticommutative ABJ Theory
• Kählerian Effective Potentials for Chern-Simons-Matter Theories
• 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
• Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field
• Superloop Space
• Novel Symmetries in Christ-Lee Model
• Quantum Symmetries and Conserved Charges of the Cosmological Friedmann-Robertson-Walker Model
• Spontaneous breaking of nilpotent symmetry in boundary BLG theory
• A superspace description of Chern-Simons theory in Batalin-Vilkovisky formulation
• Super-group field cosmology in Batalin-Vilkovisky formulation
• Basic Brackets of a 2D Model for the Hodge Theory without its Canonical Conjugate Momenta
• Conformal to Harmonic Gauge for Bosonic Strings
• BRST symmetry and Darboux transformations in Abelian 2-form gauge theory
• Ward and Nielsen Identities for ABJM Theory in $\mathcal{N}=1$ Superspace
• Constraints, Symmetry Transformations and Conserved Charges for Massless Abelian 3-Form Theory
• Construction of a Massive ABJM Theory Without Higgs Superfields
• General Formalism For the BRST Symmetry
• On the alternative formulation of the three-dimensional noncommutative superspace
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime
• St$\ddot{u}$ckelberg-Modified Massive Abelian 3-Form Theory: Constraint Analysis, Conserved Charges and BRST Algebra
• Quantization of Yang-Mills Theory in de Sitter Spacetime
• Renormalization Group Improvement and Dynamical Breaking of Symmetry in a Supersymmetric Chern-Simons-matter Model