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Interface Minimal Model Holography and Topological String Theory
High Energy Physics - Theory · Submitted 9 Mar 2026
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This construction embeds Minimal Model Holography in String Theory.
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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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The abstract, sentence by sentence
We study the dynamics of 2d fermions coupled to 3d Chern-Simons gauge fields. For $SU(N)$ gauge group and fermions in the fundamental representation, the resulting interfaces are closely related to $W_N$ minimal models. We give an holographic description of the interfaces within the A-model Topological String Theory. The model has exotic integrability properties, which allow us to propose an exact holographic match of all sphere correlation functions of meson operators. This construction embeds Minimal Model Holography in String Theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the dynamics of 2d fermions coupled to 3d Chern-Simons gauge fields. | contribution 0.90 | 0.79 | 0.03 | asserted 0.95 |
| s1 | For $SU(N)$ gauge group and fermions in the fundamental representation, the resulting interfaces are closely related to $W_N$ minimal models. | result 0.92 | 0.62 | 0.12 | asserted 0.98 |
| s2 | We give an holographic description of the interfaces within the A-model Topological String Theory. | contribution 0.70 | 0.90 | 0.13 | asserted 1.00 |
| s3 | The model has exotic integrability properties, which allow us to propose an exact holographic match of all sphere correlation functions of meson operators. | result 0.80 | 0.85 | 0.44 | hedged possibility 0.49 |
| s4 | This construction embeds Minimal Model Holography in String Theory. | interpretation 0.91 | 0.83 | 0.62 | asserted 1.00 |
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The paper
Original abstract
We study the dynamics of 2d fermions coupled to 3d Chern-Simons gauge fields. For $SU(N)$ gauge group and fermions in the fundamental representation, the resulting interfaces are closely related to $W_N$ minimal models. We give an holographic description of the interfaces within the A-model Topological String Theory. The model has exotic integrability properties, which allow us to propose an exact holographic match of all sphere correlation functions of meson operators. This construction embeds Minimal Model Holography in String Theory.
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References
How the literature uses it
1 arXiv paper cite this in 1 sentence
Papers citing it
Cites it as background 1 paper
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This limit is of particular interest in the context of $AdS_3 / CFT_2$ holography [ref] .
The $W_n$ Light One-Point Torus Conformal Block · Introduction · 0.85
What it cites · 75 sentences without a confident label
Builds on 6 papers
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Our work thus sharpens the twisted M-theory holographic dictionary proposed by [ref] : we give a fully back-reacted geometry dual to $_N$ sphere correlation functions.
M-theory in the Omega-background and 5-dimensional non-commutative gauge theory · Introduction · 0.99
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As a natural generalization of the result in [ref] , this setup gives rise to the $𝔤𝔩_K|K'$ 5d non-commutative Chern–Simons theory.
Topological Chern-Simons/Matter Theories · Open string theory on branes · 1.00
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We will focus on Wilson lines associated to $Λ^∙^N$, which were the topic of recent work [ref] adapted to the $T^* ×M_t$ holographic setting.
2506.03246 · Wilson lines and probe branes · 0.90
Uses the method or tool of 4 papers
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The solution proposed in [ref] is to consider the entire family of theories for all $K$ and imposing a “uniformly in $K$’’ quantization.
Quantization of open-closed BCOV theory, I · HT-nc-CS theory on $ℝ×M_t$ · 0.88
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The solution proposed in [ref] is to consider the entire family of theories for all $K$ and imposing a “uniformly in $K$’’ quantization.
M-theory in the Omega-background and 5-dimensional non-commutative gauge theory · HT-nc-CS theory on $ℝ×M_t$ · 0.88
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This non-linear transformation, including the first-order term, should be given by [equation] Completely following the computation of [ref] , one can check that the cubic OPE reproduces the leading correction to the matrix-extended $𝒲_∞$ algebra as in [ref] , via the above non-linear transformation.
Gauge Theory and Integrability, II · Non-linear corrections to the KK theory · 0.87
Compares with 3 papers
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The goal of the remainder of this appendix is to demonstrate that there is an isomorphism between this theory and the 3d Poisson sigma model associated with the Virasoro algebra, which is studied in [ref] .
Poisson Vertex Algebras and Three-Dimensional Gauge Theory · The semi-classical limit of a quantum Drinfeld-Sokolov reduction · 0.80
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Although we have not proven this, we expect them to coincide with the matrix-valued Miura operators employed in alternative definitions of $^(K)_∞[N,t]$ [ref] .
On Extensions of $\widehat{\mathfrak{gl}(m|n)}$ Kac-Moody algebras and Calabi-Yau Singularities · Multiple chiral fermions · 0.91
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Although we have not proven this, we expect them to coincide with the matrix-valued Miura operators employed in alternative definitions of $^(K)_∞[N,t]$ [ref] .
Deformed Double Current Algebras, Matrix Extended $\mathcal W_{\infty}$ Algebras, Coproducts, and Intertwiners from the M2-M5 Intersection · Multiple chiral fermions · 0.91
Cites as support 1 paper
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These algebraic properties follow from an identification with the symmetry algebra controlling protected correlation functions for the world-volume theory of M2 branes with a transverse $M_t$ geometry: the ADHM quiver gauge theory with two flavours [ref] .
Twisted M2 brane holography and sphere correlation functions · The non-planar wedge algebra · 0.96
Cites as background 27 papers
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Minimal Model Holography [ref] is a conjectural holographic duality for the $_N$ minimal models, i.e. the family of diagonal Rational CFTs based on the coset chiral algebra [equation] where $SU(N)_k$ denotes the $SU(N)$ WZW current algebra at level $k ∈ℕ$.[Aka the simple quotient of an $(N)$ Kac-Moody chiral algebra, which we denote as $(N)_k$ and is defined for all $k$.] These CFTs can be analyzed in a 't Hooft expansion, taking $N$ to be large with fixed 't Hooft coupling $t = N/κ+N$.
An AdS_3 Dual for Minimal Model CFTs · Introduction · 0.99
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Minimal Model Holography [ref] is a conjectural holographic duality for the $_N$ minimal models, i.e. the family of diagonal Rational CFTs based on the coset chiral algebra [equation] where $SU(N)_k$ denotes the $SU(N)$ WZW current algebra at level $k ∈ℕ$.[Aka the simple quotient of an $(N)$ Kac-Moody chiral algebra, which we denote as $(N)_k$ and is defined for all $k$.] These CFTs can be analyzed in a 't Hooft expansion, taking $N$ to be large with fixed 't Hooft coupling $t = N/κ+N$.
Higher Spin Gravity with Matter in AdS_3 and Its CFT Dual · Introduction · 0.99
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Minimal Model Holography [ref] is a conjectural holographic duality for the $_N$ minimal models, i.e. the family of diagonal Rational CFTs based on the coset chiral algebra [equation] where $SU(N)_k$ denotes the $SU(N)$ WZW current algebra at level $k ∈ℕ$.[Aka the simple quotient of an $(N)$ Kac-Moody chiral algebra, which we denote as $(N)_k$ and is defined for all $k$.] These CFTs can be analyzed in a 't Hooft expansion, taking $N$ to be large with fixed 't Hooft coupling $t = N/κ+N$.
Triality in Minimal Model Holography · Introduction · 0.99
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