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

TL;DR

This paper reviews recent advances in 2D N=(4,4) superspace supergravity, focusing on component reduction, bi-projective formalism, and solving twisted multiplet constraints.

Contribution

It introduces a new solution for covariant type-I twisted multiplet constraints within the curved bi-projective superspace formalism.

Findings

Reduced superspace integrals using superform techniques.

Reviewed bi-projective superspace formalism.

Provided a new solution for twisted multiplet constraints.

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.