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Higher genus Siegel forms and multi-center black holes in N=4 supersymmetric string theory
Frederik Denef, Shamit Kachru, Zimo Sun +1
We conjecture that the Fourier coefficients of a degree three Siegel form, , count the degeneracy of three-center BPS bound states in type II string theory compact…
Attractive Strings and Five-Branes, Skew-Holomorphic Jacobi Forms and Moonshine
Miranda C. N. Cheng, John F. R. Duncan, Sarah M. Harrison +3
We show that certain BPS counting functions for both fundamental strings and strings arising from fivebranes wrapping divisors in Calabi--Yau threefolds naturally give rise to skew…
BPS jumping loci are automorphic
Shamit Kachru, Arnav Tripathy
We show that BPS jumping loci -- loci in the moduli space of string compactifications where the number of BPS states jumps in an upper semi-continuous manner -- naturally appear as…
Black Holes and Hurwitz Class Numbers
Shamit Kachru, Arnav Tripathy
We define a natural counting function for BPS black holes in compactification of type II string theory, and observe that it is given by a weight 3/2 mock modular fo…
Counting spinning dyons in maximal supergravity: The Hodge-elliptic genus for tori
Nathan Benjamin, Shamit Kachru, Arnav Tripathy
We consider -theory compactified on and describe the count of spinning -BPS states. This refines the classic count of Maldacena-Moore-Strominger in the phy…
BPS jumping loci and special cycles
Shamit Kachru, Arnav Tripathy
We study BPS jumping loci, or the subloci in moduli spaces of supersymmetric string vacua where BPS states come into existence discontinuously. This phenomenon is distinct from wal…