A journey to 3d: exact relations for adjoint SQCD from dimensional reduction

Antonio Amariti (1) , Claudius Klare (2, 3)

1 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]
2 IHES - Institut des Hautes Études Scientifiques
3 IPHT - Institut de Physique Théorique - UMR CNRS 3681

In this note we elaborate on the reduction of four dimensional Seiberg duality with adjoint matter to three dimensions. We use the exact formulation of the superconformal index and of the partition function as instruments to test this reduction. We translate the identity between indices of the dual 4d theories to 3d. This produces various new identities between partition functions of 3d dual phases.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Antonio Amariti, Claudius Klare. A journey to 3d: exact relations for adjoint SQCD from dimensional reduction. Journal of High Energy Physics, 2015, 2015 (5), pp.148. ⟨10.1007/JHEP05(2015)148⟩. ⟨cea-01336470⟩