Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2021)147
Keywords
Black Holes in String Theory; Extended Supersymmetry; String Duality; Superstrings and Heterotic Strings
Categories
Funding
- [UIDB/04459/2020]
- Fundação para a Ciência e a Tecnologia [UIDB/04459/2020] Funding Source: FCT
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available