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Department of Mathematical Sciences


This week's seminars

Maths HEP Lunchtime Seminars: BPS black holes, wall-crossing and mock modular forms

Presented by Boris Pioline, LPTHE

14 December 2018 13:00 in CM101

In type II strings compactified on a Calabi-Yau threefold, BPS
black hole microstates are counted by generalized Donaldson-Thomas
invariants. The latter exhibit well-understood but complicated wall-crossing phenomena.
Using constraints from string dualities, I will argue that the generating function
of DT invariants supported on a divisor must be in general be a mock modular
form of higher depth, depending on the degree of reducibility of the divisor.
This generating function is closely related to the elliptic genus of the
Maldacena-Strominger-Witten superconformal field theory on a wrapped M5-brane.

Based on joint work with S. Alexandrov: arXiv:1804.06928, 1808.08479

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