Onset of Quantum Chaos in Random Field Theories

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

doi:10.1103/physrevlett.129.071601

Cited by 5 publications

(3 citation statements)

References 26 publications

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“…Substituting (19) into the ghost action (17), the first term in (19) gives a mass term for the ghost fields C and C. Hence, in the IR limit, we can integrate out the ghost fields C and C, equivalent to deleting the last term in (16). Because F (a) 's are quasi-homogeneous, the second line of ( 16) can be rewritten as…”

Section: Ir Conformal Manifold and Field Redefinitionssmentioning

confidence: 99%

“…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%

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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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Section: Ir Conformal Manifold and Field Redefinitionssmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Chang,

Shen

2024

SciPost Phys.

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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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Chaos bound in Kerr-Newman-Taub-NUT black holes via circular motions*

Chen

Gao²

2023

Chinese Phys. C

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In this paper, we investigate the influence of the angular momentum of a charged particle around Kerr-Newman-Taub-NUT black holes on the Lyapunov exponent, and find spatial regions where the chaos bound is violated. The exponent is obtained by solving the determination of eigenvalues of a Jacobian matrix in the phase space. Equilibrium positions are obtained by fixing the charge-to-mass ratio of the particle and changing its angular momentum. For certain values of the black holes' electric charge, NUT charge and rotational parameter, a small angular momentum of the particle, even if zero angular momentum, causes the violation of the bound. This violation disappears at a certain distance from the event horizon of the non-extremal Kerr-Newman-Taub-NUT black hole when the angular momentum increases to a certain value. When the black hole is extremal, the violation always exists no matter how the angular momentum changes. The ranges of the angular momentum and spatial regions for the violation are found. The black holes and particle rotating in the same direction and in the opposite directions are discussed.

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Onset of Quantum Chaos in Random Field Theories

Cited by 5 publications

References 26 publications

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

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

A counterexample to the CFT convexity conjecture

Chaos bound in Kerr-Newman-Taub-NUT black holes via circular motions*

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