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- W2502108616 abstract "In this paper, an information theoretic approach to bounds in superconformal field theories is proposed. It is proved that the supersymmetric Rényi entropy [Formula: see text] is a monotonically decreasing function of [Formula: see text] and [Formula: see text] is a concave function of [Formula: see text]. Under the assumption that the thermal entropy associated with the “replica trick” time circle is bounded from below by the charge at [Formula: see text], it is further proved that both [Formula: see text] and [Formula: see text] monotonically increase as functions of [Formula: see text]. Because [Formula: see text] enjoys universal relations with the Weyl anomaly coefficients in even-dimensional superconformal field theories, one therefore obtains a set of bounds on these coefficients by imposing the inequalities of [Formula: see text]. Some of the bounds coincide with Hofman–Maldacena bounds and the others are new. We also check the inequalities for examples in odd-dimensions." @default.
- W2502108616 created "2016-08-23" @default.
- W2502108616 creator A5021552907 @default.
- W2502108616 date "2022-11-30" @default.
- W2502108616 modified "2023-09-26" @default.
- W2502108616 title "Information theoretic inequalities as bounds in superconformal field theory" @default.
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- W2502108616 doi "https://doi.org/10.1142/s0217732322502443" @default.
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