Gaugings of N=4 three dimensional gauged supergravity with exceptional coset manifolds

Abstract

Some admissible gauge groups of N=4 Chern-Simons gauged supergravity in three dimensions with exceptional scalar manifolds $G_{2(2)}/SO(4)$, $F_{4(4)}/USp(6)\times SU(2)$, $E_{6(2)}/SU(6)\times SU(2)$, $E_{7(-5)}/SO(12)\times SU(2)$ and $E_{8(-24)}/E_7\times SU(2)$ are identified. In particular, a complete list of all possible gauge groups is given for the theory with $G_{2(2)}/SO(4)$ coset space. We also study scalar potentials for all of these gauge groups and find some critical points. In the case of $F_{4(4)}/USp(6)\times SU(2)$ target space, we give some semisimple gauge groups which are maximal subgroups of $F_{4(4)}$. Most importantly, we construct the $SO(4)⋉{\mathbf{T}}^6$ gauged supergravity which is equivalent to N=4 SO(4) Yang-Mills gauged supergravity. The latter is proposed to be obtained from an $S^3$ reduction of $(1,0)$ six dimensional supergravity coupled to two vector and two tensor multiplets. The scalar potential of this theory on the scalar fields which are invariant under SO(4) is explicitly computed. Depending on the value of the coupling constants, the theory admits both dS and AdS vacua when all of the 28 scalars vanish. The maximal N=4 supersymmetric $Ad{S}_3$ should correspond to the $Ad{S}_3\times S^3$ solution of the $(1,0)$ six dimensional theory. Finally, some gauge groups of the theories with $E_{6(2)}/SU(6)\times SU(2)$, $E_{7(-5)}/SO(12)\times SU(2)$ and $E_{8(-24)}/E_7\times SU(2)$ scalar manifolds are identified.

arXiv comment27 pages, no figures, typoes corrected

References in corpus (32)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Maximal gauged supergravity in three dimensions
• Consistent Kaluza-Klein Sphere Reductions
• Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
• Locally supersymmetric D=3 non-linear sigma models
• Gauged locally supersymmetric D=3 nonlinear sigma models
• Higher-dimensional Origin of D=3 Coset Symmetries
• More on the Similarity between D=5 Simple Supergravity and M Theory
• N=8 matter coupled AdS_3 supergravities
• Chern-Simons vs. Yang-Mills gaugings in three dimensions
• An Exact Holographic RG Flow Between 2d Conformal Fixed Points
• Results of the classification of superconformal algebras in two dimensions
• Kaluza-Klein supergravity on AdS_3 x S^3
• Abelian ideals of maximal dimension for solvable Lie algebras
• Domain Wall and de Sitter Solutions of Gauged Supergravity
• On the Magical Supergravities in Six Dimensions
• Non-semisimple and Complex Gaugings of N=16 Supergravity
• SU(2) Reduction of Six-dimensional (1,0) Supergravity
• Effective Actions for Massive Kaluza-Klein States on AdS_3 x S^3 x S^3
• AdS${}_3$ vacua and RG flows in three dimensional gauged supergravities
• D=5 Simple Supergravity on AdS_{3} x S^{2} and N=4 Superconformal Field Theory
• Euler angles for G2
• Vacua of Maximal Gauged D=3 Supergravities
• N=(0,4) Quiver $SCF{T}_2$ and Supergravity on $Ad{S}_3\times S^2$
• Yang-Mills-Chern-Simons Supergravity
• 3D gauged supergravity from SU(2) reduction of $N=1$ 6D supergravity
• Exceptional groups, symmetric spaces and applications
• Vacua and RG flows in N=9 three dimensional gauged supergravity
• Hidden symmetries in minimal five-dimensional supergravity
• Vacua of N=10 three dimensional gauged supergravity
• 3D N=6 Gauged Supergravity: Admissible Gauge Groups, Vacua and RG Flows
• Two dimensional RG flows and Yang-Mills instantons

Cited by in corpus (4)

• 1/2-BPS Domain wall from N=10 three dimensional gauged supergravity
• On Dimensional Reduction of Magical Supergravity Theories
• New N=5,6, 3D gauged supergravities and holography
• Non-semisimple gauging of a magical N=4 supergravity in three dimensions