Status | Confirmed |
Seminar Series | WORK-CONF |
Subjects | hep-th |
Date | Thursday 24 August 2017 |
Time | 14:30 |
Institute | LPTENS |
Seminar Room | Room Conf. IV |
Speaker's Last Name | Pioline |
Speaker's First Name | Boris |
Speaker's Email Address | |
Speaker's Institution | LPTHE |
Title | Indefinite theta series, black holes and instantons |
Abstract | In type IIB string theory compactified on a Calabi-Yau three-fold, S-duality requires that the sum over D3-D1- D(-1) instantons (with fixed D3-brane charge) must be modular invariant. Correspondingly, in type IIA string theory, holography requires that the D4-D2-D0 black hole partition function (with fixed D4-brane charge) should be modular. In either case, the sum over D1 (resp. D2) charges is given by an indefinite theta series of signature $r(1,b_2-1)$, where $r$ is the D3 (resp. D4) charge. Using physical insight we have found a general way of determining the modular completion of a large class of holomorphic indefinite theta series, generalizing Zweger's method to arbitrary signature. Based on a series of works with Alexandrov, Banerjee and Manschot. |
arXiv Preprint Number | |
Comments | LPTENS Summer Institute https://indico.in2p3.fr/event/14720/ |
Attachments |
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