Supersymmetric solitons in gauged $$ \mathcal{N} $$ = 8 supergravity
Andrés Anabalón (Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Avenida Diagonal las Torres 2640, Peñalolen, Santiago, Chile); Antonio Gallerati (Politecnico di Torino, Dipartimento di Scienza Applicata e Tecnologia, corso Duca degli Abruzzi 24, Torino, 10129, Italy); Simon Ross (Centre for Particle Theory, Department of Mathematical Sciences, Durham University, South Road, Durham, DH1 3LE, UK); Mario Trigiante (Politecnico di Torino, Dipartimento di Scienza Applicata e Tecnologia, corso Duca degli Abruzzi 24, Torino, 10129, Italy, Istituto Nazionale di Fisica Nucleare, Sezione di Torino, via Pietro Giuria 1, Torino, 10125, Italy)
We consider soliton solutions in AdS4 with a flat slicing and Wilson loops around one cycle. We study the phase structure and find the ground state and identify supersymmetric solutions as a function of the Wilson loops. We work in the context of a scalar field truncation of gauged $$ \mathcal{N} $$ = 8 supergravity, where all the dilatons are equal and all the axions vanish in the STU model. In this theory, we construct new soliton solutions parameterized by two Wilson lines. We find that there is a degeneracy of supersymmetric solutions. We also show that, for alternate boundary conditions, there exists a non-supersymmetric soliton solution with energy lower than the supersymmetric one.
