Bogoliubov coefficients for the twist operator in the D1D5 CFT
Bogoliubov coefficients for the twist operator in the D1D5 CFT
The D1D5 CFT is a holographic dual of a near-extremal black hole in string theory. The interaction in this theory involves a twist operator which joins together different copies of a free CFT. Given a large number of D1 and D5 branes, the effective length of the circle on which the CFT lives is very large. We develop a technique to study the effect of the twist operator in the limit where the wavelengths of excitations are short compared to this effective length, which we call the 'continuum limit'. The method uses Bogoliubov coefficients to compute the effect of the twist operator in this limit. For bosonic fields, we use the method to reproduce recent results describing the effect of the twist operator when it links together CFT copies with windings M and N, producing a copy of winding M+N. We also comment on possible generalizations of our results. The methods developed here may help in understanding the twist interaction at higher orders. This in turn should provide insight into the thermalization process in the D1D5 CFT, which gives a holographic description of black hole formation.
443-485
Carson, Zaq
29834f15-ecd5-4e49-9fe0-6304ac6afa19
Mathur, Samir D.
98c39875-9fd5-43b4-81ab-01f324c4e60f
Turton, David
6ce84b30-3cc0-42aa-ace5-f298d4260e9b
1 December 2014
Carson, Zaq
29834f15-ecd5-4e49-9fe0-6304ac6afa19
Mathur, Samir D.
98c39875-9fd5-43b4-81ab-01f324c4e60f
Turton, David
6ce84b30-3cc0-42aa-ace5-f298d4260e9b
Carson, Zaq, Mathur, Samir D. and Turton, David
(2014)
Bogoliubov coefficients for the twist operator in the D1D5 CFT.
Nuclear Physics B, 889 (December), .
(doi:10.1016/j.nuclphysb.2014.10.018).
Abstract
The D1D5 CFT is a holographic dual of a near-extremal black hole in string theory. The interaction in this theory involves a twist operator which joins together different copies of a free CFT. Given a large number of D1 and D5 branes, the effective length of the circle on which the CFT lives is very large. We develop a technique to study the effect of the twist operator in the limit where the wavelengths of excitations are short compared to this effective length, which we call the 'continuum limit'. The method uses Bogoliubov coefficients to compute the effect of the twist operator in this limit. For bosonic fields, we use the method to reproduce recent results describing the effect of the twist operator when it links together CFT copies with windings M and N, producing a copy of winding M+N. We also comment on possible generalizations of our results. The methods developed here may help in understanding the twist interaction at higher orders. This in turn should provide insight into the thermalization process in the D1D5 CFT, which gives a holographic description of black hole formation.
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1406.6977v1
- Accepted Manuscript
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1-s2.0-S0550321314003241-main
- Version of Record
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Published date: 1 December 2014
Identifiers
Local EPrints ID: 469456
URI: http://eprints.soton.ac.uk/id/eprint/469456
ISSN: 0550-3213
PURE UUID: 9886c65b-bbc3-4188-b07e-5bd3749823c2
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Date deposited: 14 Sep 2022 16:59
Last modified: 17 Mar 2024 03:48
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Author:
Zaq Carson
Author:
Samir D. Mathur
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