The Integral Form of Supergravity

Abstract

By using integral forms we derive the superspace action of D=3, N=1 supergravity as an integral on a supermanifold. The construction is based on target space picture changing operators, here playing the role of Poincare' duals to the lower-dimensional spacetime surfaces embedded into the supermanifold. We show how the group geometrical action based on the group manifold approach interpolates between the superspace and the component supergravity actions, thus providing another proof of their equivalence.

arXiv comment22 pages

References in corpus (8)

• Off-shell supergravity-matter couplings in three dimensions
• Supergravity Actions with Integral Forms
• The Geometry of Supermanifolds and New Supersymmetric Actions
• M-theory on Spin(7) Manifolds, Fluxes and 3D, N=1 Supergravity
• Hodge Dualities on Supermanifolds
• Cech and de Rham Cohomology of Integral Forms
• Chern-Simons Theory on Supermanifolds
• Multimetric Supergravities

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• A locally supersymmetric $SO(10,2)$ invariant action for $D=12$ supergravity
• Covariant hamiltonian for supergravity in $d=3$ and $d=4$
• Supergravities and Branes from Hilbert-Poincaré Series
• Wess-Zumino and Super Yang-Mills Theories in D=4 Integral Superspace
• The Integral Form of D=3 Chern-Simons Theories Probing ${\mathbb{C}}^n/\Gamma$ Singularities
• Chern-Simons Supergravity on Supergroup Manifolds
• Gauge supergravity in $D=2+2$
• Pre-NQ Manifolds and Correspondence Spaces: the Nilmanifold Example
• 3D Supergravity in the Batalin-Vilkovisky Formalism