INVESTIGADORES
BOTTA CANTCHEFF Marcelo Angel Nicolas
artículos
Título:
Modular Hamiltonian for holographic excited states
Autor/es:
RAUL ARIAS; BOTTA-CANTCHEFF, MARCELO; MARTÍNEZ, PEDRO J.; JUAN F ZARATE-CHAHIN
Revista:
PHYSICAL REVIEW D
Editorial:
AMER PHYSICAL SOC
Referencias:
Lugar: New York; Año: 2020
ISSN:
1550-7998
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 BDHM formula to compute the modular evolution of operators in the corresponding CFT algebra, and propose this as a more general prescription.