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Department of Mathematical Sciences

Seminars

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

Contact christiana.pantelidou@durham.ac.uk or mathew.r.bullimore@durham.ac.uk for more information

Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.