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SUMMARY:Modular bootstrap for compact Calabi-Yau threefolds - Sergei Alexa
 ndrov (Université de Montpellier)
DTSTART:20231004T083000Z
DTEND:20231004T093000Z
UID:TALK200848@talks.cam.ac.uk
DESCRIPTION:BPS indices encoding entropy of supersymmetric black holes in 
 compactifications of Type II string theory on compact Calabi-Yau threefold
 s coincide with generalized Donaldson-Thomas invariants whose computation 
 represents an outstanding problem. I'll show how this problem can be solve
 d for a set of one-parameter threefolds by combining a direct integration 
 of topological string\, modular properties of rank 0 DT invariants countin
 g D4-D2-D0 BPS states\, and wall-crossing relations between rank 1 and ran
 k 0 DT invariants. In particular\, one obtains explicit (mock) modular fun
 ctions encoding infinite sets of D4-D2-D0 BPS indices and new boundary con
 ditions for the holomorphic anomaly equation allowing to overcome the limi
 tations of the direct integration method.
LOCATION:Seminar Room 1\, Newton Institute
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