Correlation functions in the D1-D5 orbifold CFT
Correlation functions in the D1-D5 orbifold CFT
The D1-D5 system has an orbifold point in its moduli space, at which it may be described by an N = (4,4) supersymmetric sigma model with target space M N /S(N) where M is T4 or K3. In this paper we consider correlation functions involving chiral operators constructed from twist fields: we find explicit expressions for processes involving a twist n operator joining n twist operators of arbitrary twist. These expressions are universal, in that they are independent of the choice of M , and the final results can be expressed in a compact form. We explain how these results are relevant to the black hole microstate programme: one point functions of chiral operators can be used to reconstruct AdS3 near horizon regions of D1-D5 microstates and to match microstates constructed in supergravity with the CFT.
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Garcia Tormo, Joan
1fa32bb3-08f0-4204-a56c-1d2e5ae71086
4 June 2018
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Garcia Tormo, Joan
1fa32bb3-08f0-4204-a56c-1d2e5ae71086
Taylor, Marika and Garcia Tormo, Joan
(2018)
Correlation functions in the D1-D5 orbifold CFT.
Journal of High Energy Physics.
(doi:10.1007/JHEP06(2018)012).
Abstract
The D1-D5 system has an orbifold point in its moduli space, at which it may be described by an N = (4,4) supersymmetric sigma model with target space M N /S(N) where M is T4 or K3. In this paper we consider correlation functions involving chiral operators constructed from twist fields: we find explicit expressions for processes involving a twist n operator joining n twist operators of arbitrary twist. These expressions are universal, in that they are independent of the choice of M , and the final results can be expressed in a compact form. We explain how these results are relevant to the black hole microstate programme: one point functions of chiral operators can be used to reconstruct AdS3 near horizon regions of D1-D5 microstates and to match microstates constructed in supergravity with the CFT.
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Tormo-Taylor2018_Article_CorrelationFunctionsInTheD1-D5
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Accepted/In Press date: 1 June 2018
e-pub ahead of print date: 4 June 2018
Published date: 4 June 2018
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Local EPrints ID: 422000
URI: http://eprints.soton.ac.uk/id/eprint/422000
ISSN: 1029-8479
PURE UUID: da3c57dc-62cf-44d3-a438-ab551557284b
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Date deposited: 12 Jul 2018 16:31
Last modified: 16 Mar 2024 04:10
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Author:
Joan Garcia Tormo
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