N = 4 Super-Yang-Mills on Conic Space as Hologram of STU Topological Black Hole

Abstract

We construct four-dimensional N=4 super-Yang-Mills theories on a conic sphere with various background R-symmetry gauge fields. We study free energy and supersymmetric Renyi entropy using heat kernel method as well as localization technique. We find that the universal contribution to the partition function in the free field limit is the same as that in the strong coupling limit, which implies that it may be protected by supersymmetry. Based on the fact that, the conic sphere can be conformally mapped to $S^1\times H^3$ and the R-symmetry background fields can be supported by the R-charges of black hole, we propose that the holographic dual of these theories are five-dimensional, supersymmetric STU topological black holes. We demonstrate perfect agreement between N=4 super-Yang-Mills theories in the planar limit and the STU topological black holes.

arXiv comment1+48 pages, v2:typo fixed+references added

References in corpus (55)

• Towards a derivation of holographic entanglement entropy
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• An Index for 4 dimensional Super Conformal Theories
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Bubbling AdS space and 1/2 BPS geometries
• 4d Conformal Field Theories and Strings on Orbifolds
• Embedding AdS Black Holes in Ten and Eleven Dimensions
• Twenty Years of the Weyl Anomaly
• Counting chiral primaries in N=1 d=4 superconformal field theories
• Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
• The Exact Superconformal R-Symmetry Extremizes Z
• Rigid Supersymmetric Theories in Curved Superspace
• SUSY Gauge Theories on Squashed Three-Spheres
• Topological Black Holes in Anti-de Sitter Space
• Notes on SUSY Gauge Theories on Three-Sphere
• Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory
• Pair Production of Topological anti de Sitter Black Holes
• Non-Extreme Black Holes of Five Dimensional N=2 AdS Supergravity
• 11-Dimensional Supergravity Compactified on Calabi-Yau Threefolds
• Holographic Calculations of Renyi Entropy
• Supersymmetric Field Theories on Three-Manifolds
• M5-branes from gauge theories on the 5-sphere
• Supersymmetry on Curved Spaces and Holography
• Compactification of D=11 supergravity on spaces of exceptional holonomy
• Exploring Curved Superspace
• Holographic Charged Renyi Entropies
• Localization on Hopf surfaces
• BPS black holes in N=2 five dimensional AdS supergravity
• Entanglement entropy for the n-sphere
• Seiberg-Witten Theories on Ellipsoids
• Twisted supersymmetric 5D Yang-Mills theory and contact geometry
• Gauged supergravity from type IIB string theory on Y^{p,q} manifolds
• Relation between the 4d superconformal index and the S^3 partition function
• Renyi Entropies for Free Field Theories
• The $\mathcal{N}=1$ Chiral Multiplet on $T^2\times S^2$ and Supersymmetric Localization
• Supersymmetric Renyi Entropy
• A universal feature of CFT Renyi entropy
• Supersymmetry in Lorentzian Curved Spaces and Holography
• Large N Limit of N=2 SU(N) Gauge Theories from Localization
• 4d N=2 superconformal linear quivers with type IIA duals
• Localization on Three-Manifolds
• Extended Supersymmetry on Curved Spaces
• Exploring Curved Superspace (II)
• Exact Results and Holography of Wilson Loops in N=2 Superconformal (Quiver) Gauge Theories
• Higgs branch localization of $\mathcal{N}=1$ theories on $S^3\times S^1$
• AdS Membranes Wrapped on Surfaces of Arbitrary Genus
• Entanglement Renyi Entropies in Conformal Field Theories and Holography
• Supersymmetric gauge theories on squashed five-spheres and their gravity duals
• Three-Dimensional Superconformal Field Theory on Conic Space as Hologram of Charged Topological Black Hole
• Generalized Indices for $\mathcal{N}=1$ Theories in Four-Dimensions
• The Gravity Dual of Supersymmetric Renyi Entropy
• The gravity dual of supersymmetric gauge theories on a squashed $S^1\times S^3$
• The gravity dual of supersymmetric gauge theories on a squashed five-sphere
• Holographic Rényi Entropies at Finite Coupling
• Supersymmetric Gauge Theories on a Squashed Four-Sphere

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• Universal Features of Four-Dimensional Superconformal Field Theory on Conic Space
• Janus interface entropy and Calabi's diastasis in four-dimensional $\mathcal{N}=2$ superconformal field theories
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