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Title: One-loop transition amplitudes in the D1D5 CFT

Abstract

We consider the issue of thermalization in the D1D5 CFT. Thermalization is expected to correspond to the formation of a black hole in the dual gravity theory. We start from the orbifold point, where the theory is essentially free, and does not thermalize. In earlier work it was noted that there was no clear thermalization effect when the theory was deformed of the orbifold point to first order in the relevant twist perturbation. In this paper we consider the deformation to second order in the twist, where we do find effects that can cause thermalization of an initial perturbation. We consider a 1-loop process where two untwisted copies of the CFT are twisted to one copy and then again untwisted to two copies. We start with a single oscillator excitation on the initial CFT, and compute the effect of the two twists on this state. We find simple approximate expressions for the Bogoliubov coeffcients and the behavior of the single oscillator excitation in the continuum limit, where the mode numbers involved are taken to be much larger than unity. We also prove a number of useful relationships valid for processes with an arbitrary number of twist insertions.

Authors:
 [1];  [1];  [1]
  1. The Ohio State Univ., Columbus, OH (United States)
Publication Date:
Research Org.:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1424736
Grant/Contract Number:  
sc0011726
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Models in String Theory; AdS-CFT Correspondence; Black Holes; Black Holes in String Theory

Citation Formats

Carson, Zaq, Hampton, Shaun, and Mathur, Samir D. One-loop transition amplitudes in the D1D5 CFT. United States: N. p., 2017. Web. doi:10.1007/JHEP01(2017)006.
Carson, Zaq, Hampton, Shaun, & Mathur, Samir D. One-loop transition amplitudes in the D1D5 CFT. United States. doi:10.1007/JHEP01(2017)006.
Carson, Zaq, Hampton, Shaun, and Mathur, Samir D. Mon . "One-loop transition amplitudes in the D1D5 CFT". United States. doi:10.1007/JHEP01(2017)006. https://www.osti.gov/servlets/purl/1424736.
@article{osti_1424736,
title = {One-loop transition amplitudes in the D1D5 CFT},
author = {Carson, Zaq and Hampton, Shaun and Mathur, Samir D.},
abstractNote = {We consider the issue of thermalization in the D1D5 CFT. Thermalization is expected to correspond to the formation of a black hole in the dual gravity theory. We start from the orbifold point, where the theory is essentially free, and does not thermalize. In earlier work it was noted that there was no clear thermalization effect when the theory was deformed of the orbifold point to first order in the relevant twist perturbation. In this paper we consider the deformation to second order in the twist, where we do find effects that can cause thermalization of an initial perturbation. We consider a 1-loop process where two untwisted copies of the CFT are twisted to one copy and then again untwisted to two copies. We start with a single oscillator excitation on the initial CFT, and compute the effect of the two twists on this state. We find simple approximate expressions for the Bogoliubov coeffcients and the behavior of the single oscillator excitation in the continuum limit, where the mode numbers involved are taken to be much larger than unity. We also prove a number of useful relationships valid for processes with an arbitrary number of twist insertions.},
doi = {10.1007/JHEP01(2017)006},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2017,
place = {United States},
year = {2017},
month = {1}
}

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Cited by: 6 works
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