Onset of quantum chaos in disordered CFTs

Berkooz, Micha; Sharon, Adar; Silberstein, Navot; Urbach, Erez Y.

doi:10.1103/physrevd.106.045007

Cited by 4 publications

(2 citation statements)

References 35 publications

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“…In particular, one could try to define an SYK-like theory in 3d by averaging over this conformal manifold (see [42] for another attempt in 3d). Then observables like the chaos exponent can be extracted using the formalism discussed in [43][44][45], which generalizes SYK-like models to those with general CFTs deformed by disorder.…”

Section: Jhep05(2023)202mentioning

confidence: 99%

A counterexample to the CFT convexity conjecture

Sharon

Watanabe

2023

J. High Energ. Phys.

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Motivated by the weak gravity conjecture, [Phys. Rev. D104 (2021) 126005] conjectured that in any CFT, the minimal operator dimension at fixed charge is a convex function of the charge. In this letter we construct a counterexample to this convexity conjecture, which is a clockwork-like model with some modifications to make it a weakly-coupled CFT. We also discuss further possible applications of this model and some modified versions of the conjecture which are not ruled out by the counterexample.

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Section: Jhep05(2023)202mentioning

confidence: 99%

A counterexample to the CFT convexity conjecture

Sharon

Watanabe

2023

J. High Energ. Phys.

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“…Over the years, the SYK model has been generalized to include complex fermions [11][12][13], additional flavor symmetry [14], and supersymmetry [15][16][17][18][19][20]. Going beyond 0+1 dimensions, the two and three-dimensional generalizations of the SYK have been studied with various numbers of supersymmetries [21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Disordered $\mathcal{N} = (2, 2)$ supersymmetric field theories

Chang,

Shen

2024

SciPost Phys.

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We investigate a large class of \mathcal{N}=(2,2)𝒩=(2,2) supersymmetric field theories in two dimensions, which contains the Murugan-Stanford-Witten model, and can be naturally regarded as a disordered generalization of the two-dimensional Landau-Ginzburg models. We analyze the two and four-point functions of chiral superfields, and extract from them the central charge, the operator spectrum, and the chaos exponent in these models. Some of the models exhibit a conformal manifold parameterized by the variances of the random couplings. We compute the Zamolodchikov metrics on the conformal manifold, and demonstrate that the chaos exponent varies nontrivally along the conformal manifolds. Finally, we introduce and perform some preliminary analysis of a disordered generalization of the gauged linear sigma models, and discuss the low energy theories as ensemble averages of Calabi-Yau sigma models over complex structure moduli space.

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