High Energy Physics - Theory · arXiv:2104.10178 v2 · submitted 20 Apr 2021
AdS3 Gravity and RCFT Ensembles with Multiple Invariants
The paper says
“For the identity seed we find that the weights are positive for all N, consistent with each model being dual to an ensemble average over CFT's.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We use the Poincaré series method to compute gravity partition functions associated to SU(N) level 1 WZW models with arbitrarily large numbers of modular invariants. The result is an average over these invariants, with the weights being given by inverting a matrix whose size is of order the number of invariants. For the chosen models, this matrix takes a special form that allows us to invert it for arbitrary size and thereby explicitly calculate the weights of this average. For the identity seed we find that the weights are positive for all N, consistent with each model being dual to an ensemble average over CFT's.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: hedged possibility 0.61
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.27 · compares with prior results 0.08 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We use the Poincar\'e series method to compute gravity partition functions associated to SU(N) level 1 WZW models with arbitrarily large numbers of modular invariants. | contribution 0.57 | 0.95 | 0.09 | asserted 1.00 |
| The result is an average over these invariants, with the weights being given by inverting a matrix whose size is of order the number of invariants. | result 0.90 | 0.87 | 0.15 | asserted 1.00 |
| For the chosen models, this matrix takes a special form that allows us to invert it for arbitrary size and thereby explicitly calculate the weights of this average. | method 0.79 | 0.93 | 0.10 | asserted 1.00 |
| For the identity seed we find that the weights are positive for all N, consistent with each model being dual to an ensemble average over CFT's. | interpretation 0.57 | 0.95 | 0.51 | hedged possibility 0.61 |
What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.99
What was examined, and what was not
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- arXiv listing abstract v2
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- references and citing sentences
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- P abstract
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- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,632 input tokens.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 4 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Harmonic analysis of 2d CFT partition functions hep-th · Jul 2021
- Wormholes and Spectral Statistics in the Narain Ensemble hep-th · Jun 2021
- Chern-Simons Invariants from Ensemble Averages hep-th · Apr 2021
- Factorization and global symmetries in holography hep-th · Mar 2022
How the literature uses it
17 arXiv papers cite this in 25 sentences
Papers citing it · 19 sentences without a confident label
Cites it as background 6 papers
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In more than two bulk dimensions it is a priori unclear how to construct ensemble averages over dual microscopic theories, so many approaches have focused on two-dimensional CFTs with a large number of symmetries such as Narain CFTs [ref] , and WZW models [ref] .
The Lion, the Witch, and the Wormhole: Ensemble averaging the symmetric product orbifold · Introduction · 0.96
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Variations of this example have been considered, , in [ref] .
Factorization and global symmetries in holography · Introduction and summary · 0.85
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Further studies of rational ensemble holography include [ref] .
Wormholes and surface defects in rational ensemble holography · Introduction and summary · 0.98
What it cites · 28 sentences without a confident label
Builds on 1 paper
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In the present work we address these limitations by going beyond the examples considered in [ref] .
Poincar\'e Series, 3d Gravity and Averages of Rational CFT · Introduction and background · 0.98
Uses the method or tool of 2 papers
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We perform the as in [ref] , starting with the partition function for a seed primary and then summing over the coset $Γ'\$PSL(2,Z) where $Γ'$ is a discrete finite-index subgroup of PSL(2,Z) that preserves the seed.
Poincar\'e Series, 3d Gravity and Averages of Rational CFT · The for · 0.99
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We perform the as in [ref] , starting with the partition function for a seed primary and then summing over the coset $Γ'\$PSL(2,Z) where $Γ'$ is a discrete finite-index subgroup of PSL(2,Z) that preserves the seed.
The Gravity Dual of the Ising Model · The for · 0.99
Compares with 1 paper
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We see that the overall features are similar to those for the two-invariant cases considered in [ref] , namely: (i) the identity seed gives rise to a positive linear combination of all invariants, (ii) other seeds sometimes do give rise to negative linear combinations, (iii) some seeds exceptionally produce a unique physical invariant.
Poincar\'e Series, 3d Gravity and Averages of Rational CFT · Three physical Invariants · 0.98
Cites as background 12 papers
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The for certain classes of rational CFT has been computed in [ref] .
The Gravity Dual of the Ising Model · Discussion · 0.90
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The for certain classes of rational CFT has been computed in [ref] .
Poincar\'e Series, 3d Gravity and Averages of Rational CFT · Discussion · 0.90
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The for certain classes of rational CFT has been computed in [ref] .
Narain to Narnia · Discussion · 0.90
Challenges and discussion
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