Supersymmetric solutions of the cosmological, gauged, C magic model

Abstract

We construct supersymmetric solutions of theories of gauged $\mathcal{N}=1,d=5$ supergravity coupled to vector multiplets with a $\mathrm{U}(1{)}_{\mathrm{R}}$ Abelian (Fayet-Iliopoulos) gauging and an independent SU$(2)$ gauging associated to an $\mathrm{SU}(2)$ isometry group of the Real Special scalar manifold. These theories provide minimal supersymmetrizations of 5-dimensional SU$(2)$ Einstein-Yang-Mills theories with negative cosmological constant. We consider a minimal model with these gauge groups and the "magic model" based on the Jordan algebra ${\mathbf{J}}_3^{\mathbb{C}}$ with gauge group $\mathrm{SU}(3)\times \mathrm{U}(1{)}_{\mathrm{R}}$, which is a consistent truncation of maximal $\mathrm{SO}(6)$-gauged supergravity in $d=5$ and whose solutions can be embedded in Type IIB Superstring Theory. We find several solutions containing selfdual $\mathrm{SU}(2)$ instantons, some of which asymptote to AdS${}_5$ and some of which are very small, supersymmetric, deformations of AdS${}_5$. We also show how some of those solutions can be embedded in Romans' $\mathrm{SU}(2)\times \mathrm{U}(1)$-gauged half-maximal supergravity, which was obtained by Lu, Pope and Tran by compactification of the Type IIB Superstring effective action. This provides another way of uplifting those solutions to 10 dimensions.

References in corpus (28)

• All supersymmetric solutions of minimal supergravity in five dimensions
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Black Holes and Critical Points in Moduli Space
• General supersymmetric AdS5 black holes
• N=2 supergravity in five dimensions revisited
• All supersymmetric solutions of minimal gauged supergravity in five dimensions
• Five-dimensional N=4, SU(2) X U(1) Gauged Supergravity from Type IIB
• The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions
• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• General Supersymmetric Solutions of Five-Dimensional Supergravity
• All the supersymmetric solutions of N=1,d=5 ungauged supergravity
• N=2 Einstein-Yang-Mills's BPS solutions
• Supersymmetric coloured/hairy black holes
• A deformation of AdS_5 x S^5
• One Thousand and One Bubbles
• Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
• N=2 Einstein-Yang-Mills' static two-center solutions
• Non-Abelian, supersymmetric black holes and strings in 5 dimensions
• N=2 Super-EYM coloured black holes from defective Lax matrices
• Dyonic black holes at arbitrary locations
• Non-Abelian bubbles in microstate geometries
• A gravitating Yang-Mills instanton
• Non-Abelian black holes in string theory
• A non-Abelian Black Ring
• Yang-Mills instantons in Kaehler spaces with one holomorphic isometry
• Supersymmetric solutions of SU(2)-Fayet-Iliopoulos-gauged N=2,d=4 supergravity
• On timelike supersymmetric solutions of gauged minimal 5-dimensional supergravity
• On timelike supersymmetric solutions of Abelian gauged 5-dimensional supergravity

Cited by in corpus (6)

• Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density
• Analytic crystals of solitons in the four dimensional gauged non-linear sigma model
• Pion crystals hosting topologically stable baryons
• Analytic Baby Skyrmions at Finite Density
• Existence of a supersymmetric extension of the gauged non-linear $\Sigma$-model and the transition from integrability to chaos
• Non-Abelian Rotating Black Holes in 4- and 5-Dimensional Gauged Supergravity