Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-08-11
JHEP 0902:013,2009
Physics
High Energy Physics
High Energy Physics - Theory
38 pp. Minor revision of version 2
Scientific paper
10.1088/1126-6708/2009/02/013
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 ${\cal N}=8$ 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.
Bandos Igor A.
Townsend Paul K.
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