Extremal surfaces and thin-shell wormholes

• Autores: Chernicoff, Mariano; Giribet, Gaston Enrique; Rubín de Celis, Emilio
• Año de publicación: 2022
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: HOLOGRAPHY; ENTANGLEMENT; ENTROPY; WORMHOLES
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

We study extremal surfaces in a traversable wormhole geometry that connects two locally AdS5 asymptotic regions. In the context of the AdS/CFT correspondence, we use these to compute the holographic entanglement entropy for different configurations: First, we consider an extremal surface anchored at the boundary on a spatial 2-sphere of radius R. The other scenario is a slab configuration which extends in two of the boundary spacelike directions while having a finite size L in the third one. We show that in both cases the divergent and the finite pieces of the holographic entanglement entropy give results consistent with the holographic picture and this is used to explore the phase transitions that the dual theory undergoes. The geometries we consider here are stable thin-shell wormholes with flat codimension-one hypersurfaces at fixed radial coordinate. They appear as electrovacuum solutions of higher-curvature gravity theories coupled to Abelian gauge fields. The presence of the thin shells produces a refraction of the extremal surfaces in the bulk, leading to the presence of cusps in the phase space diagram. Further, the traversable wormhole captures a phase transition for the subsystems made up of a union of disconnected regions in different boundaries. We discuss these and other features of the phase diagram.
Fil: Chernicoff, Mariano. Universidad Nacional Autónoma de México; México
Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. University of New York; Estados Unidos
Fil: Rubín de Celis, Emilio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina