English

OPE of line defects in 5d $E_n$ SCFT

High Energy Physics - Theory 2022-04-13 v1

Abstract

5d ray index is the 5d superconformal index in the presence of a ray-like defect. An elementary ray defect flows to a fundamental Wilson ray in IR gauge theory. In 5d N=1\mathcal{N}=1 superconformal field theory(SCFT) with EnE_n global symmetry, we compute the ray index associated with an adjoint Wilson ray. We show that the operators that appear in the index are non-trivially charged under the center of the global symmetry EnE_n. The charge under the center being twice compared with the center charge carried by the elementary ray operator indicates a non-trivial OPE between the ray-like defects in the UV SCFT.

Keywords

Cite

@article{arxiv.2201.00333,
  title  = {OPE of line defects in 5d $E_n$ SCFT},
  author = {Jihwan Oh},
  journal= {arXiv preprint arXiv:2201.00333},
  year   = {2022}
}

Comments

22 pages

R2 v1 2026-06-24T08:37:54.225Z