2016/08/31 by Chi-Ming Chang, Ori Ganor, Ori J. Ganor +1 · 14 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Central charge #Character (mathematics) #Field (mathematics) #Index (typography) #Operator (biology) #Operator theory #Order (exchange) #Quantum Chromodynamics and Particle Interactions #Representation (politics) #Symmetry (geometry) #Term (time) #hep-th
paper · pdf · doi:10.1007/jhep02(2017)018
published in Journal of High Energy Physics 2017(2) (Springer Nature) · 44 pages, 2 figures
arxiv created 2016/09/08 · openalex created_date 2016/09/16 · openalex publication_date 2017/02/01 · arxiv updated 2017/03/08 · openalex updated_date 2026/08/06
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.