An index for ray operators in 5d E n SCFTs

Author: 

Chang, C
Ganor, O
Oh, J

Publication Date: 

6 February 2017

Journal: 

Journal of High Energy Physics

Last Updated: 

2021-10-11T03:48:10.22+01:00

Issue: 

2

Volume: 

2017

DOI: 

10.1007/jhep02(2017)018

abstract: 

We construct an index for BPS operators supported on a ray in five dimensional superconformal field theories with exceptional global symmetries. We compute the E n representations (for n = 2, . . . , 7) of operators of low spin, thus verifying that while the expression for the index is only SO(2n − 2) × U(1) invariant, the index itself exhibits the full E n symmetry (at least up to the order we expanded). The ray operators we studied in 5d can be viewed as generalizations of operators constructed in a Yang-Mills theory with fundamental matter by attaching an open Wilson line to a quark. For n ≤ 7, in contrast to local operators, they carry nontrivial charge under the ℤ 9 − n  ⊂ E n center of the global symmetry. The representations that appear in the ray operator index are therefore different, for n ≤ 7, from those appearing in the previously computed superconformal index. For 3 ≤ n ≤ 7, we find that the leading term in the index is a character of a minuscule representation of E n . We also discuss the case n = 8, which presents a unique technical challenge, and remains an open problem.

Symplectic id: 

1137956

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article