On exceptional instanton strings

DOI10.1007/JHEP09(2017)081zbMATH Open1382.83109arXiv1609.00310OpenAlexW3101174404MaRDI QIDQ1705964

Author name not available (Why is that?)

Publication date: 19 March 2018

Published in: (Search for Journal in Brave)

Abstract: According to a recent classification of 6d (1,0) theories within F-theory there are only six "pure" 6d gauge theories which have a UV superconformal fixed point. The corresponding gauge groups are $SU(3),SO(8),F_4,E_6,E_7$, and $E_8$. These exceptional models have BPS strings which are also instantons for the corresponding gauge groups. For $G$ simply-laced, we determine the 2d $mathcalN=(0,4)$ worldsheet theories of such BPS instanton strings by a simple geometric engineering argument. These are given by a twisted $S^2$ compactification of the 4d $mathcalN=2$ theories of type $H_2,D_4,E_6,E_7$ and $E_8$ (and their higher rank generalizations), where the 6d instanton number is mapped to the rank of the corresponding 4d SCFT. This determines their anomaly polynomials and, via topological strings, establishes an interesting relation among the corresponding $T^{2}imes{S}^2$ partition functions and the Hilbert series for moduli spaces of $G$ instantons. Such relations allow to bootstrap the corresponding elliptic genera by modularity. As an example of such procedure, the elliptic genera for a single instanton string are determined. The same method also fixes the elliptic genus for case of one $F_4$ instanton. These results unveil a rather surprising relation with the Schur index of the corresponding 4d $mathcalN=2$ models.

Full work available at URL: https://arxiv.org/abs/1609.00310

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: On exceptional instanton strings

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1705964)