Smoothed Transitions in Higher Spin AdS Gravity

Alejandra Castro; Alexander Maloney; Arnaud Lepage-Jutier; Eliot Hijano; Shamik Banerjee; Simeon Hellerman; Stephen Shenker

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Smoothed Transitions in Higher Spin AdS Gravity

Shamik Banerjee, Alejandra Castro, Simeon Hellerman, Eliot Hijano, Arnaud Lepage-Jutier, Alexander Maloney, Stephen Shenker

High Energy Physics - Theory · Submitted 24 Sep 2012

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

The authors' main claim We find no phase transition at temperatures of order one; the usual Hawking-Page phase transition is removed by the highly degenerate light states associated with conical defect states in the bulk.

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arXiv ID1209.5396 (version 2)

Pith IDBJG7WJOC, Pith's permanent record of this paper and its review

CitationAlejandra Castro, Alexander Maloney, Arnaud Lepage-Jutier, Eliot Hijano, Shamik Banerjee, Simeon Hellerman, Stephen Shenker. "Smoothed Transitions in Higher Spin AdS Gravity." arXiv:1209.5396 (2012). https://pith.science/paper/BJG7WJOC

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.34 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.17 · compares with prior results 0.41 · mentions code or data availability 0.02.

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We consider CFTs conjectured to be dual to higher spin theories of gravity in AdS_3 and AdS_4. Two dimensional CFTs with W_N symmetry are considered in the lambda=0 (k --> infinity) limit, where they are conjectured to be described by continuous orbifolds. The torus partition function is computed, using reasonable assumptions, and equals that of a free field theory. We find no phase transition at temperatures of order one; the usual Hawking-Page phase transition is removed by the highly degenerate light states associated with conical defect states in the bulk. Three dimensional Chern-Simons-matter CFTs with vector-like matter are considered on T^3, where the dynamics is described by an effective theory for the eigenvalues of the holonomies. Likewise, we find no evidence for a Hawking-Page phase transition at large level k.

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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 consider CFTs conjectured to be dual to higher spin theories of gravity in AdS_3 and AdS_4.	background 0.83	0.28	0.03	speculative 0.62
s1	Two dimensional CFTs with W_N symmetry are considered in the lambda=0 (k --> infinity) limit, where they are conjectured to be described by continuous orbifolds.	background 0.70	0.12	0.04	speculative 0.73
s2	The torus partition function is computed, using reasonable assumptions, and equals that of a free field theory.	result 0.98	0.89	0.09	asserted 0.99
s3	We find no phase transition at temperatures of order one; the usual Hawking-Page phase transition is removed by the highly degenerate light states associated with conical defect states in the bulk.	result 0.94	0.93	0.54	asserted 1.00
s4	Three dimensional Chern-Simons-matter CFTs with vector-like matter are considered on T^3, where the dynamics is described by an effective theory for the eigenvalues of the holonomies.	contribution 0.74	0.48	0.04	asserted 0.99
s5	Likewise, we find no evidence for a Hawking-Page phase transition at large level k.	result 1.00	0.92	0.26	asserted 0.78

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.88.

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S sections
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C citations
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Original abstract

We consider CFTs conjectured to be dual to higher spin theories of gravity in AdS_3 and AdS_4. Two dimensional CFTs with W_N symmetry are considered in the lambda=0 (k --> infinity) limit, where they are conjectured to be described by continuous orbifolds. The torus partition function is computed, using reasonable assumptions, and equals that of a free field theory. We find no phase transition at temperatures of order one; the usual Hawking-Page phase transition is removed by the highly degenerate light states associated with conical defect states in the bulk. Three dimensional Chern-Simons-matter CFTs with vector-like matter are considered on T^3, where the dynamics is described by an effective theory for the eigenvalues of the holonomies. Likewise, we find no evidence for a Hawking-Page phase transition at large level k.

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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

Higher spin theory in 3-dimensional flat space
hep-th 2013-07 conditional novelty 7.0 of 10

A Chern-Simons spin-3 theory in three-dimensional flat space admits consistent boundary conditions whose asymptotic symmetry algebra is a new higher-spin generalization of the BMS algebra, with central charges c_L = 0...
The Thermal Free Energy in Large N Chern-Simons-Matter Theories
hep-th 2012-11 conditional novelty 7.0 of 10

The thermal holonomy in large N Chern-Simons-matter theory spreads over a band of width 2 pi |lambda| instead of localizing, and with this correction the free energies of dual scalar and fermion theories agree exactly.
Phases of large $N$ vector Chern-Simons theories on $S^2 \times S^1$
hep-th 2013-01 conditional novelty 6.0 of 10

Quantization of holonomy eigenvalues in units of 2 pi over k caps the eigenvalue density at 1/(2 pi lambda), producing a new class of matrix models with two phase transitions whose low-temperature phases are solved ex...

How the literature uses it

24 arXiv papers cite this in 31 sentences

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Papers citing it · 19 sentences without a confident label

Compares with it 2 papers

The result for the partition function is of course also consistent with the earlier derivation of [ref] .

The Spectrum of Light States in Large N Minimal Models · Fermions in the $λ→0$ limit · 0.90
Similar study was undertaken in $W_∞[0]$ CFTs in $2$ dimensions in [ref] and they found similar results.

Phase Structure of Higher Spin Black Holes · Comparison with Vasiliev system · 0.91

Cites it as support 1 paper

Indeed the density of states seems to be smoothly growing, and hence smoothens out any transition as conjectured in [ref] .

The Spectrum of Light States in Large N Minimal Models · Discussion · 0.99

Cites it as background 8 papers

These theories have recently been studied intensively at finite $λ$ [ref] , and thermal partition functions of these theories are studied in [ref] .

Duality and Higher Temperature Phases of Large $N$ Chern-Simons Matter Theories on $S^2 \times S^1$ · High temperature effective action of the Chern-Simons-fundamental matter theory on $S^2 ×S^1$ · 0.95
Large $N$ fundamental matter Chern-Simons theories have recently been studied intensively at finite values of the t' Hooft coupling $λ$ (see e.g. [ref] ).

Phases of large $N$ vector Chern-Simons theories on $S^2 \times S^1$ · Introduction · 1.00
Moreover, along the lines of holography and the corresponding dual CFT theory with extended conformal symmetry at the boundary [ref] , [ref] , [ref] , further interesting results can also be found in [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] .

Brief review on higher spin black holes · Solving the puzzles: asymptotic conditions revisited and different classes of black holes · 0.91

What it cites · 53 sentences without a confident label

Cites as support 2 papers

When $λ→0$, i.e. $k→∞$ with $N$ fixed so that the central charge approaches $c=(N-1)$, there is evidence that the theory is described by a continuous orbifold [ref] (see also [ref] ).

Boundary conditions in Toda theories and minimal models · Free theory analysis in (1+1) dimensions · 0.97
When $λ→0$, i.e. $k→∞$ with $N$ fixed so that the central charge approaches $c=(N-1)$, there is evidence that the theory is described by a continuous orbifold [ref] (see also [ref] ).

Limits of minimal models and continuous orbifolds · Free theory analysis in (1+1) dimensions · 0.97

Cites as background 5 papers

In lower dimensions, minimal conformal field theories with $_N$ symmetry are related to similar higher spin theories of gravity in AdS$_3$ [ref] .

Minimal Model Holography · Introduction · 0.95
In lower dimensions, minimal conformal field theories with $_N$ symmetry are related to similar higher spin theories of gravity in AdS$_3$ [ref] .

An AdS_3 Dual for Minimal Model CFTs · Introduction · 0.95
In four dimensions, the simplest version of this duality relates the singlet sector of the three dimensional $O(N)$ model with Vasiliev's higher spin theory of gravity in AdS$_4$ [ref] .

The Higher Spin/Vector Model Duality · Introduction · 0.98

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