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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > BPS modularity on Calabi-Yau threefolds

## BPS modularity on Calabi-Yau threefoldsAdd to your list(s) Download to your calendar using vCal - Boris Pioline (Sorbonne Université)
- Friday 26 August 2022, 11:15-12:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. NC2W02 - Crossing the bridge: New connections in number theory and physics Unlike in cases with higher supersymmetry, the spectrum of BPS states in type II string theory compactified on a Calabi-Yau threefold $X$ with generic $SU(3)$ holonomy remains partially understood. Mathematically, the BPS indices coincide with the generalized Donaldson-Thomas invariants associated to the derived category of coherent sheaves, but they are rarely known explicitly. String dualities indicate that suitable generating series of rank 0 DT indices counting D4-D2-D0 bound states should transform as vector-valued mock modular forms, in a very precise sense. I will spell out and test these predictions in the context of non-compact threefolds of the form $X=K_S$ where $S$ is a Fano surface, and for compact Calabi-Yau threefolds with $b_2=1$ such as the quintic. Based on earlier work with Sergey Alexandrov, Sibasish Banerjee, Nava Gaddam, Jan Manschot, and work in progress with Sergey Alexandrov, Soheyla Feyzbakhsh, Albrecht Klemm and Thorsten Schimannek. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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