Elliptic Blowup Equations for 6d SCFTs. III: E-strings, M-strings and Chains
High Energy Physics - Theory
2020-08-26 v2 Mathematical Physics
math.MP
Abstract
We establish the elliptic blowup equations for E-strings and M-strings and solve elliptic genera and refined BPS invariants from them. Such elliptic blowup equations can be derived from a path integral interpretation. We provide toric hypersurface construction for the Calabi-Yau geometries of M-strings and those of E-strings with up to three mass parameters turned on, as well as an approach to derive the perturbative prepotential directly from the local description of the Calabi-Yau threefolds. We also demonstrate how to systematically obtain blowup equations for all rank one 5d SCFTs from E-string by blow-down operations. Finally, we present blowup equations for E-M and M string chains.
Keywords
Cite
@article{arxiv.1911.11724,
title = {Elliptic Blowup Equations for 6d SCFTs. III: E-strings, M-strings and Chains},
author = {Jie Gu and Babak Haghighat and Albrecht Klemm and Kaiwen Sun and Xin Wang},
journal= {arXiv preprint arXiv:1911.11724},
year = {2020}
}
Comments
54 pages, 10 tables, references added