(4,4) superfield supergravity

Abstract

We present the N=4 superspace constraints for the two-dimensional (2d) off-shell (4,4) supergravity with the superfield strengths expressed in terms of a (4,4) twisted (scalar) multiplet TM-I, as well as the corresponding component results, in a form suitable for applications. The constraints are shown to be invariant under the N=4 super-Weyl transformations, whose N=4 superfield parameters form another twisted (scalar) multiplet TM-II. To solve the constraints, we propose the Ansatz which makes the N=4 superconformal flatness of the N=4 supergravity curved superspace manifest. The locally (4,4) supersymmetric TM-I matter couplings, with the potential terms resulting from spontaneous supersymmetry breaking, are constructed. We also find the full (4,4) superconformally invariant (improved) TM-II matter action. The latter can be extended to the (4,4) locally supersymmetric Liouville action which is suitable for describing (4,4) supersymmetric non-critical strings.

32 pages, LaTeX, revised version (one reference added, and one Appendix is reduced)

References in corpus (7)

• Sigma Models in (4,4) Harmonic Superspace
• Superspace Measures, Invariant Actions, and Component Projection Formulae for (2,2) Supergravity
• Prepotentials for (2,2) Supergravity
• 2d, N=2 and N=4 supergravity and the Liouville theory in superspace
• Vector multiplets in N=2 supersymmetry and its associated moduli spaces
• $N=2$ Super-Weyl Symmetry, Super-Liouville Theory and Super-Riemannian Surfaces
• $SU(2)\times SU(2)$ harmonic superspace and (4,4) sigma models with torsion

Cited by in corpus (5)

• 2D N=(4,4) superspace supergravity and bi-projective superfields
• N=(4,4), 2D supergravity in SU(2)xSU(2) harmonic superspace
• 2D (4,4) Hypermultiplets
• Gauge and matter superfield theories on $S^2$
• Embedding formalism for $(p,q)$ AdS superspaces in three dimensions