N=2 Supergravity Lagrangian Coupled to Tensor Multiplets with Electric and Magnetic Fluxes

TL;DR

This paper derives a comprehensive N=2 supergravity Lagrangian incorporating electric and magnetic fluxes, tensor multiplets, and Fayet-Iliopoulos terms, ensuring symplectic invariance and generalizing previous formulations.

Contribution

It introduces a generalized method for including electric and magnetic charges in N=2 supergravity with tensor multiplets, maintaining symplectic invariance and extending prior work.

Findings

Derived the full N=2 supergravity Lagrangian with scalar potential.

Allowed magnetic charges only with tensor multiplets and Fayet-Iliopoulos terms.

Presented a generalized scalar potential including electric and magnetic gaugings.

Abstract

We derive the full N=2 supergravity Lagrangian which contains a symplectic invariant scalar potential in terms of electric and magnetic charges. As shown in reference [1], the appearance of magnetic charges is allowed only if tensor multiplets are present and a suitable Fayet-Iliopoulos term is included in the fermion transformation laws. We generalize the procedure in the quoted reference by adding further a Fayet-Iliopoulos term which allows the introduction of electric charges in such a way that the potential and the equations of motion of the theory are symplectic invariant. The theory is further generalized to include an ordinary electric gauging and the form of the resulting scalar potential is given.