RECORD
Phase transitions for deformations of JT supergravity and matrix models
High Energy Physics - Theory · Submitted 17 Nov 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim To solve this problem, we use the matrix model description and show the negative spectrum is resolved via a phase transition analogous to the Gross-Witten-Wadia transition.
The compiled record
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.
Open the compiled record
The abstract, sentence by sentence
We analyze deformations of $\mathcal{N}=1$ Jackiw-Teitelboim (JT) supergravity by adding a gas of defects, equivalent to changing the dilaton potential. We compute the Euclidean partition function in a topological expansion and find that it matches the perturbative expansion of a random matrix model to all orders. The matrix model implements an average over the Hamiltonian of a dual holographic description and provides a stable non-perturbative completion of these theories of $\mathcal{N}=1$ dilaton-supergravity. For some range of deformations, the supergravity spectral density becomes negative, yielding an ill-defined topological expansion. To solve this problem, we use the matrix model description and show the negative spectrum is resolved via a phase transition analogous to the Gross-Witten-Wadia transition. The matrix model contains a rich and novel phase structure that we explore in detail, using both perturbative and non-perturbative techniques.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyze deformations of $\mathcal{N}=1$ Jackiw-Teitelboim (JT) supergravity by adding a gas of defects, equivalent to changing the dilaton potential. | contribution 0.92 | 0.83 | 0.05 | asserted 0.99 |
| s1 | We compute the Euclidean partition function in a topological expansion and find that it matches the perturbative expansion of a random matrix model to all orders. | result 0.92 | 0.96 | 0.18 | asserted 1.00 |
| s2 | The matrix model implements an average over the Hamiltonian of a dual holographic description and provides a stable non-perturbative completion of these theories of $\mathcal{N}=1$ dilaton-supergravity. | interpretation 0.79 | 0.65 | 0.30 | asserted 1.00 |
| s3 | For some range of deformations, the supergravity spectral density becomes negative, yielding an ill-defined topological expansion. | result 0.71 | 0.78 | 0.06 | asserted 0.96 |
| s4 | To solve this problem, we use the matrix model description and show the negative spectrum is resolved via a phase transition analogous to the Gross-Witten-Wadia transition. | result 0.58 | 0.95 | 0.40 | asserted 1.00 |
| s5 | The matrix model contains a rich and novel phase structure that we explore in detail, using both perturbative and non-perturbative techniques. | contribution 0.90 | 0.93 | 0.12 | asserted 0.99 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We analyze deformations of $\mathcal{N}=1$ Jackiw-Teitelboim (JT) supergravity by adding a gas of defects, equivalent to changing the dilaton potential. We compute the Euclidean partition function in a topological expansion and find that it matches the perturbative expansion of a random matrix model to all orders. The matrix model implements an average over the Hamiltonian of a dual holographic description and provides a stable non-perturbative completion of these theories of $\mathcal{N}=1$ dilaton-supergravity. For some range of deformations, the supergravity spectral density becomes negative, yielding an ill-defined topological expansion. To solve this problem, we use the matrix model description and show the negative spectrum is resolved via a phase transition analogous to the Gross-Witten-Wadia transition. The matrix model contains a rich and novel phase structure that we explore in detail, using both perturbative and non-perturbative techniques.
Human review
References
How the literature uses it
10 arXiv papers cite this in 27 sentences
Papers citing it · 16 sentences without a confident label
Uses its method or tool 2 papers
-
Finally, the kernel $K(α,α̅)$ is obtained by combining these eigenfunctions as [ref] [equation]
A Celestial Matrix Model · Introduction · 0.84
-
To find an explicit expression for the polynomials, consider the generating function [equation] Using that the polynomials themselves satisfy the recursion relation $λP_n=P_n+1+n/N P_n-1$ (e.g. see Appendix C of [ref] ), the generating function can be computed as [equation] where the $λ$-dependent integration constant is fixed by requiring the polynomials are monic.
A Solvable Model of Flat Space Holography · Matrix Model Kernel · 0.97
Cites it as background 3 papers
-
We mainly follow the discussions in [ref] .
Note on $T\bar{T}$ deformed matrix models and JT supergravity duals · Basic facts · 0.99
-
The extension to the type 0B case is straightforward, and we carry it out as well.[ Type 0A minimal superstring theories are dual to double-scaled complex matrix integrals, whereas type 0B theories are dual to double-scaled Hermitian or unitary matrix integrals [ref] .
Instanton-Induced Closed-String Amplitudes in Minimal Superstring Theory at Subleading Order · Introduction and summary · 0.88
-
See also Refs. [ref] .
Normalization of ZZ instanton amplitudes in type 0B minimal superstring theory · Matrix Integral Computations · 0.88
What it cites · 112 sentences without a confident label
Builds on 10 papers
-
Building on [ref] , in this section we show how to appropriately fix the matrix model in order to obtain a stable description of the theories with $ξ<-1/α^2$.
Non-Perturbative 2D Quantum Gravity, Again · Another phase transition · 0.97
-
Building on [ref] , in this section we show how to appropriately fix the matrix model in order to obtain a stable description of the theories with $ξ<-1/α^2$.
On Loop Equations In KdV Exactly Solvable String Theory · Another phase transition · 0.97
-
Building on [ref] , in this section we show how to appropriately fix the matrix model in order to obtain a stable description of the theories with $ξ<-1/α^2$.
Solving Puzzles in Deformed JT Gravity: Phase Transitions and Non-Perturbative Effects · Another phase transition · 0.97
Uses the method or tool of 8 papers
-
See [ref] for details on the numerical methods, particularly regarding the normalization of $Ψ_s(x,q)$.
Explorations of Non-Perturbative JT Gravity and Supergravity · Non-perturbative effects · 0.97
-
See [ref] for details on the numerical methods, particularly regarding the normalization of $Ψ_s(x,q)$.
A JT supergravity as a double-cut matrix model · Non-perturbative effects · 0.97
-
Arbitrary genus: For $g≥4$ we follow [ref] and use the deformation theorem of [ref] to prove the equivalence between matrix model and supergravity to all orders in perturbation theory.
Invariants of algebraic curves and topological expansion · Higher genus from loop equations · 0.99
Compares with 7 papers
-
Compared with equation (40) in [ref] there is an extra factor of $√(|q|)$ in ([ref]).
A JT supergravity as a double-cut matrix model · Fixing the double scaled model · 0.94
-
For the model with only the $k=1$ contribution, this is in the same universality class as the well-known third order Gross-Witten-Wadia transition [ref] for unitary matrices.
A Study of U(N) Lattice Gauge Theory in 2-dimensions · Phase Transition at xi · 0.88
-
This is different from the bosonic case where an analogous formula which truncates to linear order in $ξ$ is only valid for special choices of parameters, as pointed out in [ref] (see also section 3 of [ref] ).
Matrix Models and Deformations of JT Gravity · The disk with defects · 0.99
Cites as background 12 papers
-
After reviewing in section [ref] the pure $𝒩=1$ JT supergravity theories [ref] , we deform them by adding conical defects and in section [ref] compute (in a topological expansion) their path integrals with an arbitrary number of boundaries.
JT Gravity and the Ensembles of Random Matrix Theory · Introduction · 0.94
-
It was realized in [ref] that for the case of pure bosonic JT gravity, the theory is not dual to a single QM system, but to an ensemble where one averages over Hamiltonians with a particular measure, using random matrix model techniques.
JT gravity as a matrix integral · Constructing the dual random matrix models · 0.86
-
See [ref] and footnote 79 in Appendix F of [ref] for more details on this connection.] This choice appears since, when we sum over topologies, one also has to sum over spin structures.
Solving Puzzles in Deformed JT Gravity: Phase Transitions and Non-Perturbative Effects · Introduction · 0.90
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.