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Real time response on dS3: the topological AdS black hole and the bubble
Journal of High Energy Physics, Volume: 2009, Issue: 04, Pages: 063 - 063
Swansea University Authors: Prem Kumar , Jim Rafferty
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DOI (Published version): 10.1088/1126-6708/2009/04/063
<p>We study real time correlators in strongly coupled <img src="http://ej.iop.org/icons/Entities/calN.gif" alt="Script N" align="BASELINE" /> = 4 supersymmetric Yang-Mills theory on <em>dS</em><sub&...
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<p>We study real time correlators in strongly coupled <img src="http://ej.iop.org/icons/Entities/calN.gif" alt="Script N" align="BASELINE" /> = 4 supersymmetric Yang-Mills theory on <em>dS</em><sub>3</sub> <strong>×</strong> <em>S</em><sup>1</sup>, 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 <em>AdS</em><sub>5</sub> 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 <em>AdS</em><sub>5</sub> ``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.</p>
Faculty of Science and Engineering