Superfield actions for N=8 and N=6 conformal theories in three dimensions

Abstract

The manifestly supersymmetric pure spinor formulations of the Bagger-Lambert-Gustavsson models with N=8 supersymmetry and the Aharony-Bergman-Jafferis-Maldacena models with N=6 supersymmetry are given. The structures of the pure spinors are investigated in both cases, and non-degenerate measures are formed using non-minimal sets of variables, allowing for the formulation of an action principle.

12 pp., plain tex. v2: references added, typos in eqs. 14 and 15 corrected. v3: refs. added

References in corpus (12)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Membranes on an Orbifold
• ICTP Lectures on Covariant Quantization of the Superstring
• Multiple M2-branes and Generalized 3-Lie algebras
• One-loop corrections to Bagger-Lambert theory
• An N=1 Superfield Action for M2 branes
• SDiff Gauge Theory and the M2 Condensate
• A note on Quantum Aspects of Multiple Membranes
• NB BLG model in N=8 superfields
• Pure Spinors and D=6 Super-Yang-Mills

Cited by in corpus (14)

• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• SDiff Gauge Theory and the M2 Condensate
• N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
• Cosmological Constraints on Unparticles as Continuous Mass Scalars
• N=8 Superspace Constraints for Three-dimensional Gauge Theories
• NB BLG model in N=8 superfields
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Tree-Level Color-Kinematics Duality from Pure Spinor Actions
• Higher-derivative gauge interactions of Bagger-Lambert-Gustavsson theory in N=1 superspace
• On thermodynamics of N=6 superconformal Chern-Simons theory
• SL(5) supersymmetry
• Taming the 11D pure spinor b-ghost
• Pure spinor superfields, with application to D=3 conformal models
• Homotopy representations of extended holomorphic symmetry in holomorphic twists