English

$\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions

High Energy Physics - Theory 2019-04-10 v2

Abstract

We present a new class of three-dimensional N\mathcal{N}-extended supergravity theories based on the N\mathcal{N}-extended Maxwell superalgebra with central charges and so(N)\mathfrak{so}(\mathcal{N}) internal symmetry generators. The presence of so(N)\mathfrak{so}(\mathcal{N}) generators is required in order to define a non-degenerate invariant inner product. Such symmetry allows us to construct an alternative supergravity action without cosmological constant term. Interestingly, the new theories can be obtained as a flat limit of a N\mathcal{N}-extended AdS-Lorentz supergravity theories enlarged with so(N)\mathfrak{so}(\mathcal{N}) gauge fields.

Keywords

Cite

@article{arxiv.1903.03081,
  title  = {$\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions},
  author = {Patrick Concha},
  journal= {arXiv preprint arXiv:1903.03081},
  year   = {2019}
}

Comments

V2, 16 pages, reference added, accepted version in Physics Letters B