Positive energy and nonSUSY flows in ISO(7) gauged supergravity
Abstract
We consider maximal gauged supergravity in 4D with ISO(7) gauge group, which arises from a consistent truncation of massive IIA supergravity on a sixsphere. Within its G$_2$ invariant sector, the theory is known to possess a supersymmetric AdS extremum as well as two nonsupersymmetric ones. In this context we provide a first order formulation of the theory by making use of the HamiltonJacobi (HJ) formalism. This allows us to derive a positive energy theorem for both nonsupersymmetric extrema. Subsequently, we also find novel nonsupersymmetric domain walls (DW) interpolating between the supersymmetric extremum and each of the other two. Finally, we discuss a perturbative HJ technique that may be used in order to solve for curved DW geometries.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.08301
 Bibcode:
 2021arXiv211008301D
 Keywords:

 High Energy Physics  Theory
 EPrint:
 18 pages, 6 figures