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Component twist method for higher twists in D1D5 CFT

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Zaq Carson, Ian T. Jardine, Amanda W. Peet (Toronto U.)

High Energy Physics - Theory · Submitted 11 Apr 2017

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

The authors' main claim Going further, our method upholds a previously conjectured scaling law in the continuum limit that applies to any generic configuration of twists.

how it is stated · asserted 0.97 read the record →

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arXiv ID1704.03401 (version 1)
Pith IDGW5YLKQC, Pith's permanent record of this paper and its review
CitationAmanda W. Peet (Toronto U.), Ian T. Jardine, Zaq Carson. "Component twist method for higher twists in D1D5 CFT." arXiv:1704.03401 (2017). https://pith.science/paper/GW5YLKQC
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,548 input tokens.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.96 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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.

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 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. background 1.00 0.07 0.06 asserted 1.00
s1 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. contribution 0.95 0.85 0.07 asserted 0.95
s2 Our component twist method works by building higher twist operators out of twist 2 operators together with knowledge of Bogoliubov transformations. method 1.00 0.86 0.13 asserted 1.00
s3 Consequently, this method sidesteps limitations in Lunin-Mathur technology by avoiding lifts to the covering space. contribution 0.59 0.74 0.12 asserted 1.00
s4 We verify the method by reproducing results obtainable with Lunin-Mathur technology. result 0.50 0.92 0.10 asserted 1.00
s5 Going further, our method upholds a previously conjectured scaling law in the continuum limit that applies to any generic configuration of twists. result 0.96 0.78 0.39 asserted 0.97
s6 We illustrate this with computations for a new configuration of two twist 2 operators that twists three copies together. contribution 0.66 0.92 0.08 asserted 1.00

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from proof or derivation 0.85.

What was examined, and what was not

sources read
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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

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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12 arXiv papers cite this in 19 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 · 6 sentences without a confident label

Compares with it 2 papers
  • 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

  • First, investigating the continuum limit and comparing it with the findings in [ref] , to gain a better understanding of the effects of multiple twist operators in the continuum limit.

    Four-twist effects on excitations in symmetric orbifold CFTs · Discussion and Conclusion · 0.94

Cites it as support 1 paper
Cites it as background 9 papers

What it cites · 20 sentences without a confident label

Builds on 1 paper
Uses the method or tool of 2 papers
  • An existing technique for computing quantities with twisted operators in free symmetric orbifold CFTs, the Lunin-Mathur method, involves mapping the orbifold CFT into a covering space where all fields are single-valued [ref] .

    Correlation functions for M^N/S_N orbifolds · Introduction · 0.85

  • An existing technique for computing quantities with twisted operators in free symmetric orbifold CFTs, the Lunin-Mathur method, involves mapping the orbifold CFT into a covering space where all fields are single-valued [ref] .

    Three-point functions for M^N/S^N orbifolds with N=4 supersymmetry · Introduction · 0.85

Compares with 1 paper
Cites as background 27 papers

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