Effective Microstructure

Kavli Affiliate: Emil J. Martinec

| First 5 Authors: Iosif Bena, Iosif Bena, , ,

| Summary:

In AdS$_3$/CFT$_2$ duality, there are large families of smooth, horizonless
microstate geometries that correspond to heavy pure states of the dual CFT. The
metric and fluxes are complicated functions of up to five coordinates. There
are also many duals of heavy pure states that cannot be described in
supergravity, but only admit a worldsheet description. Extracting the physical
properties of these solutions is technically challenging. In this paper, we
show that there are much simpler effective descriptions of these solutions that
capture many of their stringy and geometrical features, at the price of
sacrificing supergravity smoothness. In particular, the effective description
of some families of superstrata, and of certain worldsheet solutions, is given
by easy-to-construct three-center solutions. For example, the effective
description of a superstratum with a long AdS$_2$ throat is a scaling,
three-center solution in which the momentum wave is collapsed to a singular
source at one of the three centers. This also highlights how momentum migrates
away from the supertube locus in the back-reacted geometry. Our results suggest
that effective descriptions can be extended to more general microstates, and
that many singular multi-center solutions can in fact correspond to effective
descriptions of smooth horizonless microstructure.

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