The Cardy Formula from Goldstone Bosons

2019/07/18 by Edi Halyo, Halyo, Edi · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.1907.08149

14 pages

arxiv created 2019/07/18 · arxiv updated 2019/07/19

Abstract

Two dimensional conformal field theories, can be described by their pseudo Goldstone bosons when the conformal symmetry is spontaneously and anomalously broken. We show that the Schwarzian action of these bosons leads to the Cardy formula without using modular invariance. As a result, the Cardy formula applies to conformal field theories on a cylinder and chiral theories in one dimension. This also explains why the Cardy--Verlinde formula for theories on S¹ × S^d-2 can be written in the form of the Cardy formula of an effective two dimensional theory.

Citations

• Black Holes as Conformal Field Theories on Horizons

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