Vacua of N = 10 three-dimensional gauged supergravity

2010/11/30 by Auttakit Chatrabhuti, Parinya Karndumri
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #hep-th

paper · pdf · doi:10.1088/0264-9381/28/12/125027

published as Class.Quant.Grav.28:125027,2011 · 37 pages no figures, typos corrected and a little change in the format

arxiv created 2011/05/08 · openalex publication_date 2011/05/27 · arxiv updated 2011/07/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study scalar potentials and the corresponding vacua of N=10 three dimensional gauged supergravity. The theory contains 32 scalar fields parametrizing the exceptional coset space \fracE_6(-14)SO(10)× U(1). The admissible gauge groups considered in this work involve both compact and non-compact gauge groups which are maximal subgroups of SO(10)× U(1) and E_6(-14), respectively. These gauge groups are given by SO(p)× SO(10-p)× U(1) for p=6,...10, SO(5)× SO(5), SU(4,2)× SU(2), G_2(-14)× SU(2,1) and F_4(-20). We find many AdS₃ critical points with various unbroken gauge symmetries. The relevant background isometries associated to the maximally supersymmetric critical points at which all scalars vanish are also given. These correspond to the superconformal symmetries of the dual conformal field theories in two dimensions.

Citations

• New vacua of gauged supergravity in five dimensions
• Seven-sphere and the exceptional N = 7 and N = 8 superconformal algebras
• Lectures on gauged supergravity and flux compactifications
• New Supersymmetric and Stable, Non-Supersymmetric Phases in Supergravity and Holographic Field Theory