Berry curvature of BPS states is random-matrix-like for supersymmetric black hole microstates but non-random and often zero for horizonless geometries, offering a chaos diagnostic in degenerate sectors.
Nearby CFT's in the operator formalism: The role of a connection
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abstract
There are two methods to study families of conformal theories in the operator formalism. In the first method we begin with a theory and a family of deformed theories is defined in the state space of the original theory. In the other there is a distinct state space for each theory in the family, with the collection of spaces forming a vector bundle. This paper establishes the equivalence of a deformed theory with that in a nearby state space in the bundle via a connection that defines maps between nearby state spaces. We find that an appropriate connection for establishing equivalence is one that arose in a recent paper by Kugo and Zwiebach. We discuss the affine geometry induced on the space of backgrounds by this connection. This geometry is the same as the one obtained from the Zamolodchikov metric.
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Refines closed string field theory for non-critical backgrounds such as D=26-ε flat space and linear dilaton profiles, constructing the classical BV action at genus zero and extending background independence to first order off the conformal locus.
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Chaos of Berry curvature for BPS microstates
Berry curvature of BPS states is random-matrix-like for supersymmetric black hole microstates but non-random and often zero for horizonless geometries, offering a chaos diagnostic in degenerate sectors.
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Closed String Field Theory in 25.99 Dimensions
Refines closed string field theory for non-critical backgrounds such as D=26-ε flat space and linear dilaton profiles, constructing the classical BV action at genus zero and extending background independence to first order off the conformal locus.