Holographic coarse-graining: correlators from the entanglement wedge and other reduced geometries
Por:
Guijosa, Alberto, Olivas, Yaithd D., Pedraza, Juan F.
Publicada:
9 ago 2022
Resumen:
There is some tension between two well-known ideas in holography. On the
one hand, subregion duality asserts that the reduced density matrix
associated with a limited region of the boundary theory is dual to a
correspondingly limited region in the bulk, known as the entanglement
wedge. On the other hand, correlators that in the boundary theory can be
computed solely with that density matrix are calculated in the bulk via
the GKPW or BDHM prescriptions, which require input from beyond the
entanglement wedge. We show that this tension is resolved by recognizing
that the reduced state is only fully identified when the entanglement
wedge is supplemented with a specific infrared boundary action,
associated with an end-of-the-world brane. This action is obtained by
coarse-graining through a variant of Wilsonian integration, a procedure
that we call holographic rememorization, which can also be applied to
define other reduced density or transition matrices, as well as more
general reduced partition functions. We find an interesting connection
with AdS/BCFT, and, in this context, we are led to a simple example of
an equivalence between an ensemble of theories and a single theory, as
discussed in recent studies of the black hole information problem.
Filiaciones:
Guijosa, Alberto:
Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Dept Fis Altas Energias, Apartado Postal 70-543, Cdmx 04510, Mexico
Olivas, Yaithd D.:
Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Dept Fis Altas Energias, Apartado Postal 70-543, Cdmx 04510, Mexico
Pedraza, Juan F.:
Univ Barcelona, Dept Fis Quant & Astrofis, Marti i Franques 1, E-08028 Barcelona, Spain
Univ Barcelona, Inst Ciencies Cosmos, Marti i Franques 1, E-08028 Barcelona, Spain
gold, Green Submitted, Gold
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