INVESTIGADORES
ARIAS Raul Eduardo
artículos
Título:
Modular Hamiltonian for holographic excited states
Autor/es:
ARIAS, RAÚL; BOTTA-CANTCHEFF, MARCELO; MARTINEZ, PEDRO J.; ZARATE, JUAN F.
Revista:
Physical Review D
Editorial:
American Physical Society
Referencias:
Año: 2020 vol. 102
ISSN:
2470-0010
Resumen:
In this work we study the Tomita-Takesaki construction for a family of excited states that, in a strongly coupled CFT- at large N- correspond to coherent states in an asymptotically AdS spacetime geometry. We compute the modular flow and modular Hamiltonian associated to these excited states in the Rindler wedge and for a ball shaped entangling surface. Using holography, one can compute the bulk modular flow and construct the Tomita-Takesaki theory for these cases. We also discuss generalizations of the entanglement regions in the bulk and how to evaluate the modular Hamiltonian in a large N approximation. Finally, we extend the holographic Banks, Douglas, Horowitz and Matinec (BDHM) formula to compute the modular evolution of operators in the corresponding CFT algebra, and propose this as a more general prescription.