We study several cases of IR enhancements of global symmetry in four dimensions. In particular, we consider a sequence of Spin(n + 4) supersymmetric gauge theories (8 ≥ n ≥ 1) with n vectors and spinor matter with 32 components. We show that the subgroup of the flavor symmetry of these theories rotating the matter in the spinor representations in the UV, when proper gauge singlet fields are added, enhances to the commutant of SU(2) in E9−n. We discuss several other interesting cases of enhanced symmetries and the interplay between symmetry enhancement and self-duality. We also make some observations about possible interconnections between chiral ring relations and symmetry enhancement. Finally, we conjecture relations of the discussed models to compactifications of certain conformal matter models in six dimensions on tori. The conjecture is based on deriving a relation between five dimensional models with Spin gauge groups and conformal theories in six dimensions. As a by product of our considerations we discover a new instance of a simple self-duality of a theory with an SU(6) gauge group.
Bibliographical noteFunding Information:
The authors are grateful to Hee-Cheol Kim, Zohar Komargodski, and Cumrun Vafa for relevant discussions. GZ is supported in part by World Premier International Research Center Initiative (WPI), MEXT, Japan. The research of SSR and OS was also supported in part by the Israel Science Foundation under grant #1696/15 and by I-CORE Program of the Planning and Budgeting Committee.
© 2018, The Author(s).
- Duality in Gauge Field Theories
- Field Theories in Higher Dimensions
- Global Symmetries
- Supersymmetry and Duality
ASJC Scopus subject areas
- Nuclear and High Energy Physics