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

Published inThe journal of high energy physics, vol. 2020, 135
Publication date2020
First online date2020-07-21
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
  • Solitons Monopoles and Instantons
  • Supersymmetric Gauge Theory
  • Topological Strings
  • Conformal Field Theory
  • Space: Calabi-Yau
  • Prepotential
  • Geometry
  • String model
  • Gauge field theory: supersymmetry
  • BPS
  • Surface: del Pezzo
  • Orbit: Weyl
  • Dimension: 6
Citation (ISO format)
GU, Jie et al. Elliptic blowup equations for 6d SCFTs. Part III. E-strings, M-strings and chains. In: The journal of high energy physics, 2020, vol. 2020, p. 135. doi: 10.1007/jhep07(2020)135
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Article (Published version)
Identifiers
Additional URL for this publicationhttps://link.springer.com/10.1007/JHEP07(2020)135
Journal ISSN1029-8479
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4downloads

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