Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

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

To Generate a poster for this seminar : [ Postscript | PDF ]

[ Annonces ]    [ Abonnements ]    [ Archive ]    [ Aide ]    [ ]
[ English version ]