Ward identities and gauge flow for M-theory in $\mathcal{N}=3$ superspace

Abstract

We derive the BRST symmetry, Slavnov-Taylor identities and Nielsen identities for the ABJM theories in $\mathcal{N}=3$ harmonic superspace. Further, the gauge dependence of one-particle irreducible amplitudes in such superconformal Chern-Simons theory is shown to be generated by a canonical flow with respect to the extended Slavnov-Taylor identity, induced by the extended BRST transformations (including the BRST transformations of the gauge parameters).

11 pages, no figure, to be appear in Phys. Rev. D

References in corpus (10)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Finite BRST Transformations for the Bagger-Lambert-Gustavasson Theory
• Harmonic Superspace Gaugeon Formalism for the ABJM Theory
• ABJM theory in Batalin-Vilkovisky formulation
• Finite field-dependent BRST symmetry for ABJM theory in $\mathcal{N}=1$ superspace
• Spontaneous Breaking of the BRST Symmetry in the ABJM theory
• Canonical Flow in the Space of Gauge Parameters

Cited by in corpus (5)

• Ward and Nielsen Identities for ABJM Theory in $\mathcal{N}=1$ Superspace
• Construction of a Massive ABJM Theory Without Higgs Superfields
• Quantum gauge symmetry of reducible gauge theory
• A mass-deformed BLG theory in Gribov-Zwanziger framework
• Ramsey Scheme Applied to String Theoretical Processes