Non-linear Realisation of the N=2, D=6 Supergravity

TL;DR

This paper constructs a non-linear coset model for N=2, D=6 supergravity coupled to a tensor multiplet, deriving field equations and a first-order formulation via dualisation and twisted self-duality.

Contribution

It introduces a coset realisation approach for the bosonic sector of N=2, D=6 supergravity with tensor multiplet, using dualisation and non-linear methods.

Findings

Derived the bosonic field equations from the Cartan-Maurer equation.

Established a first-order formulation as a twisted self-duality condition.

Applied dualisation to construct the coset realisation of the theory.

Abstract

We have applied the method of dualisation to construct the coset realisation of the bosonic sector of the N=2, D=6 supergravity which is coupled to a tensor multiplet. The bosonic field equations are regained through the Cartan-Maurer equation which the Cartan form satisfies. The first-order formulation of the theory is also obtained as a twisted self-duality condition within the non-linear coset construction.