On 2D N=(4,4) superspace supergravity

Abstract

We review some recent results obtained in studying superspace formulations of 2D N=(4,4) matter-coupled supergravity. For a superspace geometry described by the minimal supergravity multiplet, we first describe how to reduce to components the chiral integral by using ``ectoplasm'' superform techniques as in arXiv:0907.5264 and then we review the bi-projective superspace formalism introduced in arXiv:0911.2546. After that, we elaborate on the curved bi-projective formalism providing a new result: the solution of the covariant type-I twisted multiplet constraints in terms of a weight-(-1,-1) bi-projective superfield.

18 pages, LaTeX, Contribution to the proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'09), Dubna, July 29-August 3 2009

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Cited by in corpus (12)

• Conformal supergravity in five dimensions: New approach and applications
• Three-dimensional (p,q) AdS superspaces and matter couplings
• Six-dimensional Supergravity and Projective Superfields
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• 2D N=(4,4) superspace supergravity and bi-projective superfields
• Nonlinear sigma models with AdS supersymmetry in three dimensions
• New Fayet-Iliopoulos terms in $\mathcal{N}=2$ supergravity
• Superforms in Simple Six-dimensional Superspace
• Symmetries of $\mathcal{N}=(1,0)$ supergravity backgrounds in six dimensions
• Partial $\mathcal{N}=2$ Supersymmetry Breaking and Deformed Hypermultiplets
• Off-shell N=(4,4) supersymmetry for new (2,2) vector multiplets
• N=(4,4) Vector Multiplets on Curved Two-Manifolds