Supersymmetric solutions from N=5 gauged supergravity

Abstract

We study a large class of supersymmetric solutions in four-dimensional $N=5$ gauged supergravity with $SO(5)$ gauge group. There is only one $N=5$ supersymmetric $Ad{S}_4$ vacuum preserving the full $SO(5)$ symmetry dual to an $N=5$ SCFT in three dimensions. We give a number of domain walls interpolating between this $Ad{S}_4$ fixed point and singular geometries in the IR with $SO(4)$ and $SO(3)$ symmetries. These solutions describe RG flows from the $N=5$ SCFT to non-conformal field theories driven by mass deformations. The $SO(4)$ solutions are precisely in agreement with the previously known mass deformations within the dual $N=5$ SCFT. We also find supersymmetric Janus solutions describing two-dimensional conformal defects in the $N=5$ SCFT with $N=(4,1)$ and $N=(1,1)$ supersymmetries on the defects. Finally, we study supersymmetric solutions of the form $Ad{S}_2\times {\Sigma }^2$, with ${\Sigma }^2=S^2,H^2$ being a Riemann surface, corresponding to near horizon geometries of $Ad{S}_4$ black holes. We consider both magnetic and dyonic solutions and find that there exists a class of magnetic $Ad{S}_2\times H^2$ solutions with $SO(2)$ symmetry. It is rather remarkable that a complete analytic solution interpolating between $Ad{S}_4$ and $Ad{S}_2\times H^2$ with a running scalar can be obtained. The solution corresponds to a twisted compactification of $N=5$ SCFT to superconformal quantum mechanics. We also show that no purely magnetic or dyonic black holes with $Ad{S}_2\times {\Sigma }^2$ horizon from $SO(2)\times SO(2)$ twist exist in $N=5$, $SO(5)$ gauged supergravity.

arXiv comment36 pages, 4 figures, typos corrected, slightly changed title and references added

References in corpus (64)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Supergravity description of field theories on curved manifolds and a no go theorem
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Embedding AdS Black Holes in Ten and Eleven Dimensions
• Comments on Multiple M2-branes
• Fractional M2-branes
• N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Superconformal Chern-Simons Theories
• The M2-M5 Brane System and a Generalized Nahm's Equation
• Supersymmetric AdS_4 black holes and attractors
• Anti-de Sitter Black Holes in Gauged N=8 Supergravity
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Magnetic charges in local field theory
• Static supersymmetric black holes in AdS_4 with spherical symmetry
• Gauged Supergravities
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• On the vacua of N = 8 gauged supergravity in 4 dimensions
• An N = 2 Supersymmetric Membrane Flow
• Classification of N=6 superconformal theories of ABJM type
• On the Lie-algebraic origin of metric 3-algebras
• Supersymmetric Janus Solutions in Four Dimensions
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Universal RG Flows Across Dimensions and Holography
• Black hole entropy in massive Type IIA
• BPS Black Holes in AdS4 from M-theory
• The M-theory dual of a 3 dimensional theory with reduced supersymmetry
• Multiple M2-branes and the Embedding Tensor
• Multiple Membranes from Gauged Supergravity
• Holographic, N=1 Supersymmetric RG Flows on M2 Branes
• Supersymmetric Domain Wall and RG Flow from 4-Dimensional Gauged N=8 Supergravity
• Minimal Holographic Superconductors from Maximal Supergravity
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories
• An N=1 Supersymmetric G_2-invariant Flow in M-theory
• New Supersymmetric and Stable, Non-Supersymmetric Phases in Supergravity and Holographic Field Theory
• Electric/magnetic duality and RG flows in AdS4/CFT3
• The Superconformal Gaugings in Three Dimensions
• BPS Black Hole Horizons in N=2 Gauged Supergravity
• On new maximal supergravity and its BPS domain-walls
• BPS black hole horizons from massive IIA
• Electric-magnetic deformations of D=4 gauged supergravities
• Twin Supergravities
• BPS black holes from massive IIA on S${}^6$
• Supersymmetric Janus solutions in four-dimensional N=3 gauged supergravity
• Exact relations between M2-brane theories with and without Orientifolds
• Supersymmetric RG flows and Janus from type II orbifold compactification
• Three-Algebras in N = 5, 6 Superconformal Chern-Simons Theories: Representations and Relations
• Symplectic Three-Algebra Unifying N=5,6 Superconformal Chern-Simons-Matter Theories
• Flowing with Eight Supersymmetries in M-Theory and F-theory
• Supersymmetric deformations of 3D SCFTs from tri-sasakian truncation
• Supersymmetric Janus solutions of dyonic $ISO(7)$-gauged $\mathcal{N}=8$ supergravity
• Holographic RG Flow in a New $SO(3)\times SO(3)$ Sector of $\omega$-Deformed $SO(8)$ Gauged $\mathcal{N}=8$ Supergravity
• Flowing to Higher Dimensions: A New Strongly-Coupled Phase on M2 Branes
• Holographic RG flows in N=3 Chern-Simons-Matter theory from N=3 4D gauged supergravity
• Superpotentials for superconformal Chern-Simons theories from representation theory
• Gaugings of four-dimensional N=3 supergravity and AdS4/CFT3 holography
• Re-visiting Supersymmetric Janus Solutions: A Perturbative Construction
• Maximally Supersymmetric AdS Solutions and their Moduli Spaces
• Supersymmetric AdS${}_2\times {\Sigma }_2$ solutions from tri-sasakian truncation

Cited by in corpus (11)

• Supersymmetric solutions from N=6 gauged supergravity
• Janus solutions from dyonic ISO(7) maximal gauged supergravity
• Holographic RG flows and Janus solutions from matter-coupled N=4 gauged supergravity
• Holographic RG flows and symplectic deformations of N=4 gauged supergravity
• New supersymmetric Janus solutions from N=4 gauged supergravity
• Janus and RG-flow interfaces from matter-coupled F(4) gauged supergravity
• Supersymmetric AdS4 black holes from matter-coupled N=3,4 gauged supergravities
• The Hamilton-Jacobi Equation and Holographic Renormalization Group Flows on Sphere
• Janus and RG-flow interfaces from 5D N=4 gauged supergravity
• Supersymmetric Janus solutions in $\omega$-deformed N=8 gauged supergravity
• New Janus interfaces from four-dimensional N=3 gauged supergravity