%0 Conference Paper
%F Oral 
%T Instantons, wall-crossing and quantum dilogarithm identities
%+ Laboratoire Charles Coulomb (L2C)
%A Alexandrov, Sergey
%F Invité
%< sans comité de lecture
%Z L2C:16-155
%B 2nd French Russian Conference Random Geometry and Physics
%C Paris, France
%8 2016-10-17
%D 2016
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Conference papers
%X Motivated by mathematical structures appearing in gauge and string theories with N=2 supersymmetry, I’ll consider the behavior of certain generalized theta series under Kontsevich-Soibelman transformations. In Calabi-Yau string vacua, such theta series encode instanton corrections from NS5-branes, and their transformation properties ensure the mutual consistency of NS5-instantons, D-instantons and wallcrossing. It turns out that the transformations are captured by Faddeev’s quantum dilogarithm, and lead to a new type of quantum dilogarithm identities with the quantization parameter inversely proportional to the NS5-brane charge.
%G English
%L hal-01386647
%U https://hal.science/hal-01386647
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021