Real time response on dS_3: the Topological AdS Black Hole and the Bubble

Abstract

We study real time correlators in strongly coupled N=4 supersymmetric Yang-Mills theory on dS_3 x S^1, with antiperiodic boundary conditions for fermions on the circle. When the circle radius is larger than a critical value, the dual geometry is the so-called "topological AdS_5 black hole". Applying the Son- Starinets recipe in this background we compute retarded glueball propagators which exhibit an infinite set of poles yielding the quasinormal frequencies of the topological black hole. The imaginary parts of the propagators exhibit thermal effects associated with the Gibbons-Hawking temperature due to the cosmological horizon of the de Sitter boundary. We also obtain R-current correlators and find that after accounting for a small subtlety, the Son-Starinets prescription yields the retarded Green's functions. The correlators do not display diffusive behaviour at late times. Below the critical value of the circle radius, the topological black hole decays to the AdS_5 "bubble of nothing". Using a high frequency WKB approximation, we show that glueball correlators in this phase exhibit poles on the real axis. The tunnelling from the black hole to the bubble is interpreted as a hadronization transition.

arXiv comment52 pages, 11 figures, typos corrected, references added

References in corpus (33)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• From AdS/CFT correspondence to hydrodynamics
• Viscosity, Black Holes, and Quantum Field Theory
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• The Black Hole Singularity in AdS/CFT
• Real-time gauge/gravity duality: Prescription, Renormalization and Examples
• Real-time gauge/gravity duality
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• AdS/CFT Duals of Topological Black Holes and the Entropy of Zero-Energy States
• Les Houches Lectures on De Sitter Space
• Glueball Mass Spectrum From Supergravity
• Volume independence in large Nc QCD-like gauge theories
• The Decay of Magnetic Fields in Kaluza-Klein Theory
• Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I)
• Constant Curvature Black Holes
• Clean Time-Dependent String Backgrounds from Bubble Baths
• Anti-de Sitter space and black holes
• The dual of nothing
• The Inside Story: Quasilocal Tachyons and Black Holes
• AdS black holes and thermal Yang-Mills correlators
• Bubbles in Anti-de Sitter Space
• Constant Curvature Black Hole and Dual Field Theory
• Inflaton Decay in De Sitter Spacetime
• Much Ado About Nothing
• Time-dependent spacetimes in AdS/CFT: Bubble and black hole
• S-branes and (Anti-)Bubbles in (A)dS Space
• Shear Viscosity and Chern-Simons Diffusion Rate from Hyperbolic Horizons
• Low-lying quasinormal modes of topological AdS black holes and hydrodynamics
• Discontinuities in Scalar Perturbations of Topological Black Holes

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