N=3 and N=4 Two-Form Supergravities

TL;DR

This paper constructs Lagrangians for N=3 and N=4 two-form supergravities, showing their classical equivalence to Einstein gravity and their formulation as gauge theories based on extended superconformal algebras.

Contribution

It introduces explicit Lagrangians for N=3 and N=4 two-form supergravities and links their gauge algebras to superconformal algebras, expanding the understanding of supergravity formulations.

Findings

Two-form supergravity theories are classically equivalent to Einstein gravity.

The gauge algebras correspond to subalgebras of superconformal algebras.

Explicit Lagrangians for N=3 and N=4 cases are constructed.

Abstract

We construct the Lagrangeans of N=3 and N=4 two-form supergravities. The two-form gravity theories are classically equivalent to the Einstein gravity theories and can be formulated as gauge theories. The gauge algebras used here can be identified with the subalgebra of N=3 superconformal algebra and SU(2)\times SU(2)\times U(1)-extended N=4 superconformal algebra.