Blowup Equations for 6d SCFTs. I

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 top...

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Published in:The journal of high energy physics 2019, Vol.3
Main Authors: Gu, Jie, Haghighat, Babak, Sun, Kaiwen, Wang, Xin
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Language:English
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High Energy Physics - Theory
Mathematical Physics
Physics
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Haghighat, Babak
Sun, Kaiwen
Wang, Xin
description 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.
doi_str_mv 10.1007/JHEP03(2019)002
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subjects High Energy Physics - Theory
Mathematical Physics
Physics
title Blowup Equations for 6d SCFTs. I
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