Holographic construction of excited CFT states
Holographic construction of excited CFT states
We present a systematic construction of bulk solutions that are dual to CFT excited states. The bulk solution is constructed perturbatively in bulk fields. The linearised solution is universal and depends only on the conformal dimension of the primary operator that is associated with the state via the operator-state correspondence, while higher order terms depend on detailed properties of the operator, such as its OPE with itself and generally involve many bulk fields. We illustrate the discussion with the holographic construction of the universal part of the solution for states of two dimensional CFTs, either on R × S 1 or on R 1,1. We compute the 1-point function both in the CFT and in the bulk, finding exact agreement. We comment on the relation with other reconstruction approaches.
1-27
Christodoulou, Ariana
875fe016-8691-462d-a149-10d6ecd9db4f
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
15 April 2016
Christodoulou, Ariana
875fe016-8691-462d-a149-10d6ecd9db4f
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Christodoulou, Ariana and Skenderis, Kostas
(2016)
Holographic construction of excited CFT states.
Journal of High Energy Physics, 2016 (96), .
(doi:10.1007/JHEP04(2016)096).
Abstract
We present a systematic construction of bulk solutions that are dual to CFT excited states. The bulk solution is constructed perturbatively in bulk fields. The linearised solution is universal and depends only on the conformal dimension of the primary operator that is associated with the state via the operator-state correspondence, while higher order terms depend on detailed properties of the operator, such as its OPE with itself and generally involve many bulk fields. We illustrate the discussion with the holographic construction of the universal part of the solution for states of two dimensional CFTs, either on R × S 1 or on R 1,1. We compute the 1-point function both in the CFT and in the bulk, finding exact agreement. We comment on the relation with other reconstruction approaches.
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1602.02039.pdf
- Accepted Manuscript
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art%3A10.1007%2FJHEP04%282016%29096.pdf
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Accepted/In Press date: 1 April 2016
e-pub ahead of print date: 15 April 2016
Published date: 15 April 2016
Organisations:
Applied Mathematics
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Local EPrints ID: 391633
URI: http://eprints.soton.ac.uk/id/eprint/391633
PURE UUID: 7eceef45-db2c-477f-b4b7-6343a5d9782c
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Date deposited: 24 May 2016 13:41
Last modified: 15 Mar 2024 03:41
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Author:
Ariana Christodoulou
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