The center-flavor symmetry of a gauge theory specifies the global form of consistent gauge and flavor bundle background field configurations. For 6D gauge theories which arise from a tensor branch deformation of a superconformal field theory (SCFT), we determine the global structure of such background field configurations, including possible continuous Abelian symmetry and R-symmetry bundles. Proceeding to the conformal fixed point, this provides a prescription for reading off the global form of the continuous factors of the zero-form symmetry, including possible nontrivial mixing between flavor and R-symmetry. As an application, we show that this global structure leads to a large class of 4D N = 2 SCFTs obtained by compactifying on a T-2 in the presence of a topologically nontrivial flat flavor bundle characterized by an 't Hooft magnetic flux. The resulting "Stiefel-Whitney twisted" compactifications realize several new infinite families of 4DN = 2 SCFTs, and also furnish a 6D origin for a number of recently discovered rank one and two 4D N = 2 SCFTs.
Heckman, J.J., Lawrie, C., Lin, L., Zhang, H.Y., Zoccarato, G. (2022). 6D SCFTs, center-flavor symmetries, and Stiefel-Whitney compactifications. PHYSICAL REVIEW D, 106(6), 1-53 [10.1103/PhysRevD.106.066003].
6D SCFTs, center-flavor symmetries, and Stiefel-Whitney compactifications
Lin, Ling;
2022
Abstract
The center-flavor symmetry of a gauge theory specifies the global form of consistent gauge and flavor bundle background field configurations. For 6D gauge theories which arise from a tensor branch deformation of a superconformal field theory (SCFT), we determine the global structure of such background field configurations, including possible continuous Abelian symmetry and R-symmetry bundles. Proceeding to the conformal fixed point, this provides a prescription for reading off the global form of the continuous factors of the zero-form symmetry, including possible nontrivial mixing between flavor and R-symmetry. As an application, we show that this global structure leads to a large class of 4D N = 2 SCFTs obtained by compactifying on a T-2 in the presence of a topologically nontrivial flat flavor bundle characterized by an 't Hooft magnetic flux. The resulting "Stiefel-Whitney twisted" compactifications realize several new infinite families of 4DN = 2 SCFTs, and also furnish a 6D origin for a number of recently discovered rank one and two 4D N = 2 SCFTs.File | Dimensione | Formato | |
---|---|---|---|
PhysRevD.106.066003.pdf
accesso aperto
Tipo:
Versione (PDF) editoriale
Licenza:
Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione
940.84 kB
Formato
Adobe PDF
|
940.84 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.