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- W4323834924 abstract "We explore the chaotic dynamics of the mass-deformed Aharony-Bergman-Jafferis-Maldacena model. To do so, we first perform a dimensional reduction of this model from $2+1$ to $0+1$ dimensions, considering that the fields are spatially uniform. Working in the 't Hooft limit and tracing over ansatz configurations involving fuzzy 2-spheres, which are described in terms of the Gomis-Rodriguez-Gomez-Van Raamsdonk-Verlinde matrices with collective time dependence, we obtain a family of reduced effective Lagrangians and demonstrate that they have chaotic dynamics by computing the associated Lyapunov exponents. In particular, we focus on how the largest Lyapunov exponent, $lambda_L$, changes as a function of $E/N^2$. Depending on the structure of the effective potentials, we find either $lambda_L propto (E/N^2)^{1/3}$ or $lambda_L propto (E/N^2 - gamma_N)^{1/3}$, where $gamma_N(k, mu)$ are constants determined in terms of the Chern-Simons coupling $k$, the mass $mu$, and the matrix level $N$. Noting that the classical dynamics approximates the quantum theory only in the high-temperature regime, we investigate the temperature dependence of the largest Lyapunov exponents and give upper bounds on the temperature above which $lambda_L$ values comply with the Maldacena-Shenker-Stanford bound, $ lambda_L leq 2 pi T $, and below which it will eventually be not obeyed." @default.
- W4323834924 created "2023-03-11" @default.
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- W4323834924 date "2023-03-10" @default.
- W4323834924 modified "2023-10-18" @default.
- W4323834924 title "Chaotic dynamics of the mass deformed ABJM model" @default.
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- W4323834924 doi "https://doi.org/10.1103/physrevd.107.066006" @default.
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