Universality of effective central charge in interface CFTs

A bstract When an interface connects two CFTs, the entanglement entropy between the two CFTs is determined by a quantity called the effective central charge. The effective central charge does not have a simple form in terms of the central charges of the two CFTs, but intricately depends on the trans...

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Published in:The journal of high energy physics 2023-11, Vol.2023 (11), p.126-24, Article 126
Main Authors: Karch, Andreas, Kusuki, Yuya, Ooguri, Hirosi, Sun, Hao-Yu, Wang, Mianqi
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Classical and Quantum Gravitation
Elementary Particles
Entanglement
Entropy
Gauge-Gravity Correspondence
Geometry
High energy physics
Interfaces
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Subsystems
Upper bounds
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Summary:A bstract When an interface connects two CFTs, the entanglement entropy between the two CFTs is determined by a quantity called the effective central charge. The effective central charge does not have a simple form in terms of the central charges of the two CFTs, but intricately depends on the transmissive properties of the interface. In this article, we examine universal properties of the effective central charge. We first clarify how the effective central charge appears when considering general subsystems of the interface CFT. Then using this result and ideas used in the proof of the c -theorem, we provide a universal upper bound on the effective central charge. In past studies, the effective central charge was defined only in two dimensions. We propose an analogue of the effective central charge in general dimensions possessing similar universal properties as in two dimensions.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2023)126