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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have