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Scientific article
Open access
English

Blowup equations for 6d SCFTs. Part I

Published inJournal of High Energy Physics, vol. 1903, 002
Collection
  • Open Access - SCOAP3
Publication date2019
Abstract

We propose novel functional equations for the BPS partition functions of 6d (1, 0) SCFTs, which can be regarded as an elliptic version of Göttsche-Nakajima-Yoshioka's K-theoretic blowup equations. From the viewpoint of geometric engineering, these are the generalized blowup equations for refined topological strings on certain local elliptic CalabiYau threefolds. We derive recursion formulas for elliptic genera of self-dual strings on the tensor branch from these functional equations and in this way obtain a universal approach for determining refined BPS invariants. As examples, we study in detail the minimal 6d SCFTs with SU(3) and SO(8) gauge symmetry. In companion papers, we will study the elliptic blowup equations for all other non-Higgsable clusters.

Keywords
  • Solitons Monopoles and Instantons
  • Topological Strings
  • Field Theories in Higher Dimensions
  • Conformal Field Models in String Theory
Citation (ISO format)
GU, Jie et al. Blowup equations for 6d SCFTs. Part I. In: Journal of High Energy Physics, 2019, vol. 1903, p. 002. doi: 10.1007/JHEP03(2019)002
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Article (Published version)
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ISSN of the journal1029-8479
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