# Black holes and Bhargava's invariant theory

28 Oct 2020 Gunaydin Murat Kachru Shamit Tripathy Arnav

Attractor black holes in type II string compactifications on $K3 \times T^2$ are in correspondence with equivalence classes of binary quadratic forms. The discriminant of the quadratic form governs the black hole entropy, and the count of attractor black holes at a given entropy is given by a class number... (read more)

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• HIGH ENERGY PHYSICS - THEORY