Journal title
Journal of High Energy Physics
DOI
10.1007/jhep02(2017)018
Issue
2
Volume
2017
Last updated
2023-07-21T19:01:54.197+01:00
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
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Publication type
Journal Article
Publication date
06 Feb 2017