https://doi.org/10.1140/epjc/s10052-019-7317-z
Regular Article - Theoretical Physics
vacua from matter-coupled 5D 
gauged supergravity
1
Department of Physics, National University of Singapore, 3 Science Drive 2, Singapore, 117551, Singapore
2
String Theory and Supergravity Group, Department of Physics, Faculty of Science, Chulalongkorn University, 254 Phayathai Road, Pathumwan, Bangkok, 10330, Thailand
* e-mail: parinya.ka@hotmail.com
Received:
5
July
2019
Accepted:
18
September
2019
Published online:
27
September
2019
We study vacua within matter-coupled gauged supergravity in five dimensions using the embedding tensor formalism. With a simple ansatz for solving the extremization and positivity of the scalar potential, we derive a set of conditions for the gauged supergravity to admit as maximally symmetric background solutions. The results provide a new approach for finding vacua in five-dimensional gauged supergravity and explain a number of notable features pointed out in previous works. These conditions also determine the form of the gauge groups to be 
with 
being a non-abelian non-compact group. In general, can be a product of SO(1, 2) and a smaller non-compact group 
together with (possibly) a compact group. The SO(1, 1) factor is gauged by one of the six graviphotons, that is singlet under 
R-symmetry. The compact parts of SO(1, 2) and are gauged by vector fields from the gravity and vector multiplets, respectively. In addition, we explicitly study vacua for a number of gauge groups and compute scalar masses at the vacua. As in the four-dimensional gauged supergravity, all the vacua identified here are unstable.
© The Author(s), 2019
