Blowup Equations for 6d SCFTs. Part I

Gu, Jie; Haghighat, Babak; Sun, Kaiwen; Wang, Xin

doi:10.1007/JHEP03(2019)002

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Blowup Equations for 6d SCFTs. Part I

MPS-Authors

/persons/resource/persons240668

Wang, Xin
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1007/JHEP03(2019)002
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

Gu-Haghighat-Sun-Wang_Blowup equations for 6d SCFTs_Part I_2019.pdf
(Publisher version), 875KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Gu, J., Haghighat, B., Sun, K., & Wang, X. (2019). Blowup Equations for 6d SCFTs. Part I. Journal of High Energy Physics, 2019(3): 002. doi:10.1007/JHEP03(2019)002.

Cite as: https://hdl.handle.net/21.11116/0000-0004-8581-3

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 Calabi-Yau 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.