Full action of two deformation operators in the D1D5 CFT

Samir D. Mathur; Shaun Hampton; Zaq Carson

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Full action of two deformation operators in the D1D5 CFT

Zaq Carson, Shaun Hampton, Samir D. Mathur

High Energy Physics - Theory · Submitted 12 Dec 2016

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

The authors' main claim 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.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,675 input tokens.

What the abstract itself states, as probabilities: claims first 0.11 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.85 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We are interested in thermalization in the D1D5 CFT, since this process is expected to be dual to black hole formation.	background 1.00	0.08	0.03	hedged possibility 0.71
s1	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.	background 0.95	0.12	0.06	hedged possibility 0.72
s2	The operator governing the deformation off of the orbifold point consists of a twist operator combined with a supercharge operator acting on this twist.	background 1.00	0.13	0.04	asserted 1.00
s3	In a previous paper we computed the action of two twist operators on an arbitrary state of the CFT.	background 0.99	0.69	0.03	asserted 1.00
s4	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.	contribution 1.00	0.97	0.55	asserted 1.00
s5	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.	result 0.99	0.93	0.52	asserted 1.00
s6	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.	method 1.00	0.82	0.10	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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The paper

Original abstract

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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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Microscopic Organization of BPS Black-Hole States in the D1--D5--P CFT
hep-th 2026-09 conditional novelty 7.0 of 10

In the D1-D5 CFT, cycle geometry does not determine fortuity state by state, yet fixed-charge counting concentrates BPS entropy on one long string of winding N-O(1), with a short-string condensation beyond a critical line.
Fortuity beyond counting: an explicit construction
hep-th 2026-06 unverdicted novelty 6.0 of 10

Explicit construction of BPS states in (h,j)=(1,0) sector of D1D5 CFT shows non-vanishing three-point coupling between monotone and fortuitous states, indicating the sectors are dynamically connected.
Holographic 4-point correlators with heavy states
hep-th 2017-05 conditional novelty 6.0 of 10

A holographic four-point correlator with two heavy and two light states in AdS3/CFT2 is computed at strong coupling and shown to differ from the free orbifold result, establishing that it is not protected.

How the literature uses it

29 arXiv papers cite this in 41 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

Uses its method or tool 4 papers

The methods used to compute these contractions are given in [ref] .

A freely falling graviton in the D1D5 CFT · The Amplitude · 1.00
The techniques for computing these amplitudes were developed over the course of a series of papers [ref] .

The Dual of a Tidal Force in the D1D5 CFT · The Computation · 0.96
Starting from $N=2$, we study how the degeneracy of the free spectrum is lifted in conformal perturbation theory applied to the D1D5 CFT [ref] [In the covering space approach discussed in these references great care is needed to keep track of signs, see for instance the in-depth analysis of [ref] .

Fortuity beyond counting: an explicit construction · Introduction · 0.87

Cites it as background 21 papers

This has been studied vigorously [ref] , often in the context of the D1D5 CFT where the deformation operator is in the twisted sector of the orbifold theory [ref] .

Larger Twists and Higher $n$-Point Functions with Fractional Conformal Descendants in $S_N$ Orbifold CFTs at Large $N$ · Introduction · 0.90
The present paper investigates the effects on the conformal properties of twisted ground states in the $N = (4,4)$ orbifold SCFT$_2$ when the theory is deformed by a marginal scalar modulus operator $λ$ [ref] .

Renormalization of Twisted Ramond Fields in D1-D5 SCFT$_2$ · Introduction · 0.83
For details about the D1D5 CFT and the deformation $D$ see [ref] .

Thermalization in the D1D5 CFT · Procedure for Computing Amplitudes · 0.99

What it cites · 11 sentences without a confident label

Builds on 1 paper

In [ref] we extended our analysis to include initial excitations in the 1-loop process.

One-Loop Transition Amplitudes in the D1D5 CFT · Introduction · 0.84

Compares with 1 paper

One readily notes that this result was schematically identical to the first-order case found in [ref] .

Excitations in the deformed D1D5 CFT · Introduction · 1.00

Cites as background 8 papers

While the exact dual CFT is strongly coupled, an examination of its `free' or `orbifold' point has produced many results [ref] .

Virasoro amplitude from the $S^N\R^{24}$ orbifold sigma model · Introduction · 0.94
While the exact dual CFT is strongly coupled, an examination of its `free' or `orbifold' point has produced many results [ref] .

Correlation functions for M^N/S_N orbifolds · Introduction · 0.94
While the exact dual CFT is strongly coupled, an examination of its `free' or `orbifold' point has produced many results [ref] .

Three-point functions for M^N/S^N orbifolds with N=4 supersymmetry · Introduction · 0.94

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