Component twist method for higher twists in D1-D5 CFT

Component twist method for higher twists in D1-D5 CFT The deformation operator of the D1-D5 orbifold CFT, a twist-2 operator, drives the CFT towards the black hole dual, and its physics is key to understanding thermalization in the D1-D5 system. To further study this deformation, we extend previous work on the effect of twist-2 operators to a method that works for higher orders, in the continuum limit. Our component twist method works by building higher-twist operators out of twist-2 operators, together with knowledge of Bogoliubov transformations. Consequently, this method sidesteps limitations in Lunin-Mathur technology by avoiding lifts to the covering space. We verify the method by reproducing results obtainable with Lunin-Mathur technology. Going further, our method upholds a previously conjectured scaling law in the continuum limit that applies to any generic configuration of twists. We illustrate this with computations for a new configuration of two twist-2 operators that twists three copies together. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Component twist method for higher twists in D1-D5 CFT

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Component twist method for higher twists in D1-D5 CFT

Abstract

The deformation operator of the D1-D5 orbifold CFT, a twist-2 operator, drives the CFT towards the black hole dual, and its physics is key to understanding thermalization in the D1-D5 system. To further study this deformation, we extend previous work on the effect of twist-2 operators to a method that works for higher orders, in the continuum limit. Our component twist method works by building higher-twist operators out of twist-2 operators, together with knowledge of Bogoliubov transformations. Consequently, this method sidesteps limitations in Lunin-Mathur technology by avoiding lifts to the covering space. We verify the method by reproducing results obtainable with Lunin-Mathur technology. Going further, our method upholds a previously conjectured scaling law in the continuum limit that applies to any generic configuration of twists. We illustrate this with computations for a new configuration of two twist-2 operators that twists three copies together.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.026006
Publisher site
See Article on Publisher Site

Abstract

The deformation operator of the D1-D5 orbifold CFT, a twist-2 operator, drives the CFT towards the black hole dual, and its physics is key to understanding thermalization in the D1-D5 system. To further study this deformation, we extend previous work on the effect of twist-2 operators to a method that works for higher orders, in the continuum limit. Our component twist method works by building higher-twist operators out of twist-2 operators, together with knowledge of Bogoliubov transformations. Consequently, this method sidesteps limitations in Lunin-Mathur technology by avoiding lifts to the covering space. We verify the method by reproducing results obtainable with Lunin-Mathur technology. Going further, our method upholds a previously conjectured scaling law in the continuum limit that applies to any generic configuration of twists. We illustrate this with computations for a new configuration of two twist-2 operators that twists three copies together.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 15, 2017

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