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

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Cited by in corpus (27)

• n-ary algebras: a review with applications
• On p-form gauge theories and their conformal limits
• Generation of Matrix Models by W-operators
• ABJM models in N=3 harmonic superspace
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Unitary Integrals and Related Matrix Models
• BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
• Superfield actions for N=8 and N=6 conformal theories in three dimensions
• Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory
• Topologically gauged superconformal Chern-Simons matter theories
• Non-linear theory for multiple M2 branes
• Leibniz-Chern-Simons Theory and Phases of Exceptional Field Theory
• A Concise Review on M5-brane in Large C-Field Background
• NB BLG model in N=8 superfields
• M5 brane from mass deformed BLG theory
• Three-algebra for supermembrane and two-algebra for superstring
• Superembedding approach to Dp-branes, M-branes and multiple D(0)-brane systems
• Cohomology of Filippov algebras and an analogue of Whitehead's lemma
• A N=8 action for multiple M2-branes with an arbitrary number of colors
• Higher spins from Nambu-Chern-Simons theory
• (p+1)-Algebra for Super p-Brane: the Nambu Bracket Reformulation
• Cartan-Weyl 3-algebras and the BLG Theory II: Strong-Semisimplicity and Generalized Cartan-Weyl 3-algebras
• Reviving 3D $\mathcal{N}=8$ superconformal field theories
• Janus Field Theories from Non-Linear BF Theories for Multiple M2-Branes
• Algebraic Form of M3-Brane Action
• One-loop Renormalized Coefficient of Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories in Three Dimensions
• Tiny Graviton Matrix Theory On Time-Dependent Background