| Summary: | We quantize the D1-D5-P microstate geometries known as superstrata directly
in supergravity. We use Rychkov's consistency condition [hep-th/0512053] which
was derived for the D1-D5 system; for superstrata, this condition turns out to
be strong enough to fix the symplectic form uniquely. For the $(1,0,n)$
superstrata, we further confirm this quantization by a bona-fide explicit
computation of the symplectic form using the semi-classical covariant
quantization method in supergravity. We use the resulting quantizations to
count the known supergravity superstrata states, finding agreement with
previous countings that the number of these states grows parametrically smaller
than those of the corresponding black hole.
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