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Effect of the twist operator in the D1D5 CFT

Effect of the twist operator in the D1D5 CFT
Effect of the twist operator in the D1D5 CFT
The D1D5 CFT has been very useful in the study of black holes. The interaction in this theory involves a twist operator, which links together different copies of a free CFT. For the bosonic fields, we examine the action of this twist when it links together CFT copies with winding numbers M and N to produce a copy with winding M+N. Starting with the vacuum state generates a squeezed state, which we compute. Starting with an initial excitation on one of the copies gives a linear combination of excitations on the final state, which we also compute. These results generalize earlier computations where these quantities were computed for the special case M=N=1. Our results should help in understanding the thermalization process in the D1D5 CFT, which gives the dual of black hole formation in the bulk.
1126-6708
Carson, Zaq
29834f15-ecd5-4e49-9fe0-6304ac6afa19
Hampton, Shaun
6c984132-d976-4d58-85ae-8704825ead3e
Mathur, Samir D.
98c39875-9fd5-43b4-81ab-01f324c4e60f
Turton, David
6ce84b30-3cc0-42aa-ace5-f298d4260e9b
Carson, Zaq
29834f15-ecd5-4e49-9fe0-6304ac6afa19
Hampton, Shaun
6c984132-d976-4d58-85ae-8704825ead3e
Mathur, Samir D.
98c39875-9fd5-43b4-81ab-01f324c4e60f
Turton, David
6ce84b30-3cc0-42aa-ace5-f298d4260e9b

Carson, Zaq, Hampton, Shaun, Mathur, Samir D. and Turton, David (2014) Effect of the twist operator in the D1D5 CFT. JHEP, 2014, [64]. (doi:10.1007/JHEP08(2014)064).

Record type: Article

Abstract

The D1D5 CFT has been very useful in the study of black holes. The interaction in this theory involves a twist operator, which links together different copies of a free CFT. For the bosonic fields, we examine the action of this twist when it links together CFT copies with winding numbers M and N to produce a copy with winding M+N. Starting with the vacuum state generates a squeezed state, which we compute. Starting with an initial excitation on one of the copies gives a linear combination of excitations on the final state, which we also compute. These results generalize earlier computations where these quantities were computed for the special case M=N=1. Our results should help in understanding the thermalization process in the D1D5 CFT, which gives the dual of black hole formation in the bulk.

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1405.0259v3 - Accepted Manuscript
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Published date: 11 August 2014

Identifiers

Local EPrints ID: 469763
URI: http://eprints.soton.ac.uk/id/eprint/469763
ISSN: 1126-6708
PURE UUID: 1566bd7d-b24d-4ef5-8a02-4ff5e1052ecc
ORCID for David Turton: ORCID iD orcid.org/0000-0002-9902-2116

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Date deposited: 23 Sep 2022 17:30
Last modified: 17 Mar 2024 03:48

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Contributors

Author: Zaq Carson
Author: Shaun Hampton
Author: Samir D. Mathur
Author: David Turton ORCID iD

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