Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Symmetry and Maximal Chaos   In this note we study chaos in generic quantum systems with a global symmetry
generalizing seminal work [arXiv : 1503.01409] by Maldacena, Shenker and
Stanford. We conjecture a bound on instantaneous chaos exponent in a
thermodynamic ensemble at temperature $T$ and chemical potential $\mu$ for the
continuous global symmetry under consideration. For local operators which could
create excitation up to some fixed charge, the bound on chaos (Lyapunov)
exponent is independent of chemical potential $\lambda_L \leq \frac{2 \pi T}{
\hbar} $. On the other hand when the operators could create excitation of
arbitrary high charge, we find that exponent must satisfy $\lambda_L \leq
\frac{2 \pi T}{(1-|\frac{\mu}{\mu_c}|) \hbar} $, where $\mu_c$ is the maximum
value of chemical potential for which the thermodynamic ensemble makes sense.
As specific examples of quantum mechanical systems we consider conformal field
theories. In a generic conformal field theory with internal $U(1)$ symmetry
living on a cylinder the former bound is applicable, whereas in more
interesting examples of holographic two dimensional conformal field theories
dual to Einstein gravity, we argue that later bound is saturated in presence of
a non-zero chemical potential for rotation.

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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: econ