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Title: Full action of two deformation operators in the D1D5 CFT

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2]
  1. Univ. of Toronto, Toronto, ON (Canada). Dept. of Physics
  2. The Ohio State Univ., Columbus, OH (United States). Dept. of Physics

We are interested in thermalization in the D1D5 CFT, since this process is expected to be dual to black hole formation. We expect that the lowest order process where thermalization occurs will be at second order in the perturbation that moves us away from the orbifold point. The operator governing the deformation off of the orbifold point consists of a twist operator combined with a supercharge operator acting on this twist. In a previous paper we computed the action of two twist operators on an arbitrary state of the CFT. In the present work we compute the action of the supercharges on these twist operators, thereby obtaining the full action of two deformation operators on an arbitrary state of the CFT. We show that the full amplitude can be related to the amplitude with just the twists through an action of the supercharge operators on the initial and final states. As a result, the essential part of this computation consists of moving the contours from the twist operators to the initial and final states; to do this one must first map the amplitude to a covering space where the twists are removed, and then map back to the original space on which the CFT is defined.

Research Organization:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0011726
OSTI ID:
1499186
Journal Information:
Journal of High Energy Physics (Online), Vol. 2017, Issue 11; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 20 works
Citation information provided by
Web of Science

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Cited By (3)

Entanglement entropy in inhomogeneous quenches in AdS 3 / CFT 2 journal November 2018
The OPE of bare twist operators in bosonic SN orbifold CFTs at large N journal August 2018
String dynamics in NS5-F1-P geometries text January 2018

Figures / Tables (2)


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