Bogoliubov coefficients for the twist operator in the D1D5 CFT

Journal Article · Mon Dec 01 00:00:00 EST 2014 · Nuclear Physics. B

DOI:https://doi.org/10.1016/j.nuclphysb.2014.10.018· OSTI ID:1197895

Carson, Zaq; Mathur, Samir D.; Turton, David

Here, 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 . 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.

• Research Organization: The Ohio State Univ., Columbus, OH (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: SC0011726
• OSTI ID: 1197895
• Alternate ID(s): OSTI ID: 1455050
• Journal Information: Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 889 Journal Issue: C; ISSN 0550-3213
• Publisher: Elsevier
• Country of Publication: Netherlands
• Language: English

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