2D N=(4,4) superspace supergravity and bi-projective superfields

Abstract

We propose a new superspace formulation for N=(4,4) conformal supergravity in two dimensions. This is based on a geometry where the structure group of the curved superspace is chosen to be SO(1,1) x SU(2)_L x SU(2)_R. The off-shell supergravity multiplet possesses super-Weyl transformations generated by an unconstrained real scalar superfield. The new supergravity formulation turns out to be an extension of the minimal multiplet introduced in 1988 by Gates et. al. and it allows the existence of various off-shell matter supermultiplets. Covariant twisted-II and twisted-I multiplets respectively describe the field strength of an Abelian vector multiplet and its prepotential. Moreover, we introduce covariant bi-projective superfields. These define a large class of matter multiplets coupled to 2D N=(4,4) conformal supergravity. They are the analogue of the covariant projective superfields recently introduced for 4D and 5D matter-coupled supergravity but they differ by the fact that bi-projective superfields are defined with the use of two CP^1 instead of one. We conclude by giving a manifestly locally supersymmetric and super-Weyl invariant action principle in bi-projective superspace.

50+1 pages, LaTeX; V2: 52 pages, typos corrected, comments added, version published in JHEP

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Cited by in corpus (18)

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• Conformal supergravity in five dimensions: New approach and applications
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• Six-dimensional Supergravity and Projective Superfields
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• A new approach to curved projective superspace
• On conformal supergravity and harmonic superspace
• Nonlinear sigma models with AdS supersymmetry in three dimensions
• On 2D N=(4,4) superspace supergravity
• New Fayet-Iliopoulos terms in $\mathcal{N}=2$ supergravity
• Conformal $(p,q)$ supergeometries in two dimensions
• Superforms in Simple Six-dimensional Superspace
• Symmetries of $\mathcal{N}=(1,0)$ supergravity backgrounds in six dimensions
• Gauge and matter superfield theories on $S^2$
• Partial $\mathcal{N}=2$ Supersymmetry Breaking and Deformed Hypermultiplets
• Ectoplasm & Superspace Integration Measure for 2D Supergravity with Four Spinorial Supercurrents
• N=(4,4) Vector Multiplets on Curved Two-Manifolds
• Supersymmetric Sigma Model geometry