Effect of the deformation operator in the D1D5 CFT

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

doi:10.1007/jhep01(2015)071

Cited by 48 publications

(63 citation statements)

References 70 publications

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“…The effect of twist 2 operators in the D1D5 CFT has been studied before in the context of deformations towards a black hole spacetime description [16,17,13,18,19,20,21,22,23,24,25,26,27,28]. We continue the investigations begun there to study general twisted states, specifically in the continuum limit.…”

Section: Introductionmentioning

confidence: 82%

Component twist method for higher twists in D1-D5 CFT

2017

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The deformation operator of the D1D5 orbifold CFT, a twist 2 operator, drives the CFT towards the black hole dual and its physics is key to understanding thermalization in the D1D5 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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Section: Introductionmentioning

confidence: 82%

Component twist method for higher twists in D1-D5 CFT

2017

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“…The contour integral for this term reads (3.18) Inserting this in equation (3.17), the constant parts cancel out and we obtain t=0 dt 2πi 19) whereL m andJ 3 m are the modes natural to the covering surface given bỹ…”

Section: Computation Ofmentioning

confidence: 99%

“…It is interesting and important to study the effect of this deformation operator O D on states of the CFT [10,11,12,13,14,15,16,17,18,19]. [12,13] described the effect of O D on the Ramond vacuum, and on states containing one or two initial quanta.…”

Section: Introductionmentioning

confidence: 99%

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Analyzing the squeezed state generated by a twist deformation

et al. 2015

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The D1D5 CFT has provided a useful microscopic model for studying black holes. The coupling in this theory is a twist deformation whose action on the vacuum generates a squeezed state. We give a new derivation of the expression for this squeezed state using the conformal Ward identity; this derivation provides an insight into several features of the state. We also examine the squeezed state in a continuum limit where we describe it in terms of position space correlations created by the twist.

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“…For the case when we have a single deformation operator, it was shown in [25][26][27][28] that the supercharge contour can be removed from the twist by stretching it away until it acts on the initial and final states of the process. This allows us to separate out the action of the 'bare twist' σ 2 from the action of the supercharge.…”

Section: Introductionmentioning

confidence: 99%

Full action of two deformation operators in the D1D5 CFT

Carson

Hampton

Mathur

2017

J. High Energ. Phys.

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We are interested in thermalization in the D1D5 CFT, since this process is expected to be dual to black hole formation. We expect that the lowest order process where thermalization occurs will be at second order in the perturbation that moves us away from the orbifold point. The operator governing the deformation off of the orbifold point consists of a twist operator combined with a supercharge operator acting on this twist. In a previous paper we computed the action of two twist operators on an arbitrary state of the CFT. In the present work we compute the action of the supercharges on these twist operators, thereby obtaining the full action of two deformation operators on an arbitrary state of the CFT. We show that the full amplitude can be related to the amplitude with just the twists through an action of the supercharge operators on the initial and final states. The essential part of this computation consists of moving the contours from the twist operators to the initial and final states; to do this one must first map the amplitude to a covering space where the twists are removed, and then map back to the original space on which the CFT is defined.

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Effect of the deformation operator in the D1D5 CFT

Cited by 48 publications

References 70 publications

Component twist method for higher twists in D1-D5 CFT

Component twist method for higher twists in D1-D5 CFT

Analyzing the squeezed state generated by a twist deformation

Full action of two deformation operators in the D1D5 CFT

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