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One-Loop Transition Amplitudes in the D1D5 CFT

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Zaq Carson, Shaun Hampton, Samir D. Mathur

High Energy Physics - Theory · Submitted 20 Jun 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this paper we consider the deformation to second order in the twist, where we do find effects that can cause thermalization of an initial perturbation.

how it is stated · asserted 0.98 read the record →

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arXiv ID1606.06212 (version 3)
Pith ID5NJXOR2P, Pith's permanent record of this paper and its review
CitationSamir D. Mathur, Shaun Hampton, Zaq Carson. "One-Loop Transition Amplitudes in the D1D5 CFT." arXiv:1606.06212 (2016). https://pith.science/paper/5NJXOR2P
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,864 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.33 · human participants 0.01 · controlled comparison 0.20 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.93 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We consider the issue of thermalization in the D1D5 CFT. Thermalization is expected to correspond to the formation of a black hole in the dual gravity theory. We start from the orbifold point, where the theory is essentially free, and does not thermalize. In earlier work it was noted that there was no clear thermalization effect when the theory was deformed off the orbifold point to first order in the relevant twist perturbation. In this paper we consider the deformation to second order in the twist, where we do find effects that can cause thermalization of an initial perturbation. We consider a 1-loop process where two untwisted copies of the CFT are twisted to one copy and then again untwisted to two copies. We start with a single oscillator excitation on the initial CFT, and compute the effect of the two twists on this state. We find simple approximate expressions for the Bogoliubov coefficients and the behavior of the single oscillator excitation in the continuum limit, where the mode numbers involved are taken to be much larger than unity. We also prove a number of useful relationships valid for processes with an arbitrary number of twist insertions.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We consider the issue of thermalization in the D1D5 CFT. background 0.84 0.54 0.02 unclear 0.83
s1 Thermalization is expected to correspond to the formation of a black hole in the dual gravity theory. background 0.94 0.05 0.03 hedged possibility 0.91
s2 We start from the orbifold point, where the theory is essentially free, and does not thermalize. background 0.93 0.12 0.02 asserted 0.99
s3 In earlier work it was noted that there was no clear thermalization effect when the theory was deformed off the orbifold point to first order in the relevant twist perturbation. background 0.64 0.04 0.03 asserted 0.96
s4 In this paper we consider the deformation to second order in the twist, where we do find effects that can cause thermalization of an initial perturbation. contribution 0.80 0.95 0.74 asserted 0.98
s5 We consider a 1-loop process where two untwisted copies of the CFT are twisted to one copy and then again untwisted to two copies. method 0.92 0.74 0.04 asserted 0.92
s6 We start with a single oscillator excitation on the initial CFT, and compute the effect of the two twists on this state. method 0.89 0.91 0.03 asserted 0.94
s7 We find simple approximate expressions for the Bogoliubov coefficients and the behavior of the single oscillator excitation in the continuum limit, where the mode numbers involved are taken to be much larger than unity. result 0.99 0.97 0.18 asserted 1.00
s8 We also prove a number of useful relationships valid for processes with an arbitrary number of twist insertions. result 0.69 0.96 0.06 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We consider the issue of thermalization in the D1D5 CFT. Thermalization is expected to correspond to the formation of a black hole in the dual gravity theory. We start from the orbifold point, where the theory is essentially free, and does not thermalize. In earlier work it was noted that there was no clear thermalization effect when the theory was deformed off the orbifold point to first order in the relevant twist perturbation. In this paper we consider the deformation to second order in the twist, where we do find effects that can cause thermalization of an initial perturbation. We consider a 1-loop process where two untwisted copies of the CFT are twisted to one copy and then again untwisted to two copies. We start with a single oscillator excitation on the initial CFT, and compute the effect of the two twists on this state. We find simple approximate expressions for the Bogoliubov coefficients and the behavior of the single oscillator excitation in the continuum limit, where the mode numbers involved are taken to be much larger than unity. We also prove a number of useful relationships valid for processes with an arbitrary number of twist insertions.

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14 arXiv papers cite this in 29 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 12 sentences without a confident label

Builds on it 1 paper
Compares with it 2 papers
  • Once again, the anticipated falloff from [ref] is a good approximation for the continuum limit.

    Component twist method for higher twists in D1D5 CFT · The squeezed state matrix · 0.89

  • These features distinguish it from the pair creation process with one or two twist operators [ref] , where there is no mixing between left and right movers: the left-moving pair creation is a holomorphic function, and the right-moving pair creation is an anti-holomorphic function.

    Four-twist effects and monodromy in symmetric orbifold CFTs · Bogoliubov ansatz for four twist effects · 1.00

Cites it as background 12 papers

What it cites · 30 sentences without a confident label

Uses the method or tool of 5 papers
  • In calculating each of our transition amplitdes $f$, we use the same mathematical techniques presented in [ref] .

    Excitations in the deformed D1D5 CFT · The 1-Loop Case in Question · 1.00

  • As detailed in [ref] , the supercharge contours can be removed from the twist by stretching them away until they act on the initial and final states of the process.

    Deforming the D1D5 CFT away from the orbifold point · Introduction · 0.87

  • More precisely, if we look at the emission from this latter state (following the methods of [ref] ), then we should get an emission of many low energy quanta rather than the few high energy quanta that we started with.

    D-brane Approach to Black Hole Quantum Mechanics · Quantum quenches · 0.95

Compares with 1 paper
Cites as background 11 papers

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