%0 Journal Article
%T Refinement and modularity of immortal dyons
%+ Laboratoire Charles Coulomb (L2C)
%A Alexandrov, Sergey
%A Nampuri, Suresh
%< avec comité de lecture
%Z L2C:20-102
%@ 1126-6708
%J Journal of High Energy Physics
%I Springer
%V 2021
%P 147
%8 2021-01-25
%D 2021
%Z 2009.01172
%R 10.1007/JHEP01(2021)147
%Z Physics [physics]/High Energy Physics - Theory [hep-th]
%Z Physics [physics]/Mathematical Physics [math-ph]
%Z Mathematics [math]/Mathematical Physics [math-ph]Journal articles
%X Extending recent results in ${\cal N}=2$ string compactifications, we propose that the holomorphic anomaly equation satisfied by the modular completions of the generating functions of refined BPS indices has a universal structure independent of the number ${\cal N}$ of supersymmetries. We show that this equation allows to recover all known results about modularity (under $SL(2,\mathbb{Z})$ duality group) of BPS states in ${\cal N}=4$ string theory. In particular, we reproduce the holomorphic anomaly characterizing the mock modular behavior of quarter-BPS dyons and generalize it to the case of non-trivial torsion invariant.
%G English
%2 https://hal.science/hal-02930775/document
%2 https://hal.science/hal-02930775/file/Alexandrov-Nampuri2021_Article_RefinementAndModularityOfImmor.pdf
%L hal-02930775
%U https://hal.science/hal-02930775
%~ CNRS
%~ L2C
%~ TDS-MACS
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021