Author:
Alexandrov Sergei,Nampuri Suresh
Abstract
Abstract
Extending recent results in $$ \mathcal{N} $$
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 $$ \mathcal{N} $$
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 $$ \mathcal{N} $$
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference57 articles.
1. S. Zwegers, Mock theta functions, Ph.D. dissertation, Utrecht University, Utrecht The Netherlands (2002).
2. D. Zagier, Ramanujan’s mock theta functions and their applications (after Zwegers and Ono-Bringmann), Astérisque 326 (2009).
3. A. Dabholkar, S. Murthy and D. Zagier, Quantum black holes, wall crossing, and mock modular forms, arXiv:1208.4074 [INSPIRE].
4. S. Alexandrov, S. Banerjee, J. Manschot and B. Pioline, Multiple D3-instantons and mock modular forms I, Commun. Math. Phys. 353 (2017) 379 [arXiv:1605.05945] [INSPIRE].
5. S. Alexandrov and B. Pioline, Black holes and higher depth mock modular forms, Commun. Math. Phys. 374 (2019) 549 [arXiv:1808.08479] [INSPIRE].
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