dorsal/arxiv
View Schema$E$ and $J$ type $\mathcal{N}=(0,2)$ disordered models and higher-spin symmetry
| Authors | Liang Wang, Miao Wang |
|---|---|
| Categories | |
| ArXiv ID | 2601.06923vv1 |
| URL | https://arxiv.org/abs/2601.06923 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In this work, we investigate the emergence of higher-spin structure in 2d $\mathcal{N}=(0,2)$ disordered models. While previous studies focused on the $J$-type model where the $E$-term in the Fermi multiplet was discarded. We extend the discussion to $\mathcal{N}=(0,2)$ disordered models with $E$-type potential. In terms of (disordered) $\mathcal{N}=(0,2)$ Landau-Ginzburg theory, we establish a duality between two models. By solving the Schwinger-Dyson equations and the ladder kernel matrix for 4-point functions, we verify that the $E$-type model is dynamically equivalent to the $J$-type model in the IR regime. Furthermore, we demonstrate that the $E$-type model also exhibits emergent higher-spin symmetry in certain limits. Our results reveal a larger region of the moduli space of 2D $\mathcal{N}=(0,2)$ disordered theories and provides insights into the holographic transition from finite to tensionless strings that can be diagnosed by the emergence of higher-spin symmetries.
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"abstract": "In this work, we investigate the emergence of higher-spin structure in 2d $\\mathcal{N}=(0,2)$ disordered models. While previous studies focused on the $J$-type model where the $E$-term in the Fermi multiplet was discarded. We extend the discussion to $\\mathcal{N}=(0,2)$ disordered models with $E$-type potential. In terms of (disordered) $\\mathcal{N}=(0,2)$ Landau-Ginzburg theory, we establish a duality between two models. By solving the Schwinger-Dyson equations and the ladder kernel matrix for 4-point functions, we verify that the $E$-type model is dynamically equivalent to the $J$-type model in the IR regime. Furthermore, we demonstrate that the $E$-type model also exhibits emergent higher-spin symmetry in certain limits. Our results reveal a larger region of the moduli space of 2D $\\mathcal{N}=(0,2)$ disordered theories and provides insights into the holographic transition from finite to tensionless strings that can be diagnosed by the emergence of higher-spin symmetries.",
"arxiv_id": "2601.06923",
"authors": [
"Liang Wang",
"Miao Wang"
],
"categories": [
"hep-th"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "$E$ and $J$ type $\\mathcal{N}=(0,2)$ disordered models and higher-spin symmetry",
"url": "https://arxiv.org/abs/2601.06923",
"version": "v1"
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