The Chern-Simons Natural Boundary and Black Hole Entropy
Griffen Adams, Gerald V. Dunne
TL;DR
This paper uncovers a novel link between quantum invariants of 3-manifolds and black hole microstate counting, using advanced resurgent analysis techniques.
Contribution
It establishes a new correspondence between $q$-series for BPS state degeneracies and $\,hat{Z}$ invariants in Chern-Simons theory, revealing deeper mathematical structures in black hole physics.
Findings
Identifies a connection between $q$-series and $\,hat{Z}$ invariants.
Uses resurgent continuation of transseries to establish the correspondence.
Provides a new perspective on black hole microstate enumeration.
Abstract
The method of resurgent continuation of transseries reveals a new correspondence between the -series for enumerating degeneracies of quarter-BPS states in supersymmetric black holes and invariants of Chern-Simons theory on a class of 3 dimensional orientation-reversed manifolds.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology