Elliptic blowup equations for 6d SCFTs. Part III. E-strings, M-strings and chains

• Main Authors: Jie Gu, Babak Haghighat, Albrecht Klemm, Kaiwen Sun, Xin Wang
• Format: Article
• Language: English
• Published: SpringerOpen 2020-07-01
• Series: Journal of High Energy Physics
• Subjects: Solitons Monopoles and Instantons; Supersymmetric Gauge Theory; Topological Strings; Conformal Field Theory
• Online Access: http://link.springer.com/article/10.1007/JHEP07(2020)135

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.