4.4 Article

Refinement and modularity of immortal dyons

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 1, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP01(2021)147

关键词

Black Holes in String Theory; Extended Supersymmetry; String Duality; Superstrings and Heterotic Strings

资金

  1. [UIDB/04459/2020]
  2. Fundação para a Ciência e a Tecnologia [UIDB/04459/2020] Funding Source: FCT

向作者/读者索取更多资源

Extending recent results in N = 2 string compactifications, the study proposes a universal structure for the holomorphic anomaly equation of the modular completions of refined BPS indices, independent of the number N of supersymmetries. It is shown that this equation can recover all known results about modularity of BPS states in N = 4 string theory under SL(2, Z) duality group. Reproducing the holomorphic anomaly characterizing the mock modular behavior of quarter-BPS dyons and generalizing it to the case of non-trivial torsion invariant.
Extending recent results in 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 N of supersymmetries. We show that this equation allows to recover all known results about modularity (under SL(2, Z) duality group) of BPS states in 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.

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