SDiff Gauge Theory and the M2 Condensate

Abstract

We develop a general formalism for the construction, in $D$-dimensional Minkowski space, of gauge theories for which the gauge group is the infinite-dimensional group SDiff${}_n$ of volume-preserving diffeomorphisms of some closed $n$-dimensional manifold. We then focus on the D=3 SDiff${}_3$ superconformal gauge theory describing a condensate of M2-branes; in particular, we derive its $\mathcal{N}=8$ superfield equations from a pure-spinor superspace action, and we describe its relationship to the D=3 SDiff${}_2$ super-Yang-Mills theory describing a condensate of D2-branes.

38 pp. Minor revision of version 2

References in corpus (16)

• 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
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Membranes on an Orbifold
• M2-branes, 3-Lie Algebras and Plucker relations
• Three-dimensional N=6 SCFT's and their membrane dynamics
• N = 8 Superconformal Chern--Simons Theories
• Multiple M2-branes and Generalized 3-Lie algebras
• An N=1 Superfield Action for M2 branes
• On the structure of k-Lie algebras
• Superfield actions for N=8 and N=6 conformal theories in three dimensions
• Light-cone M5 and multiple M2-branes
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• Topological branes, p-algebras and generalized Nahm equations
• NB BLG model in N=8 superfields

Cited by in corpus (6)

• Generation of Matrix Models by W-operators
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Superfield actions for N=8 and N=6 conformal theories in three dimensions
• NB BLG model in N=8 superfields
• Three-algebra for supermembrane and two-algebra for superstring
• Cohomology of Filippov algebras and an analogue of Whitehead's lemma