Details

Autor(en) / Beteiligte

• Kazuhiro Sakai

Titel

E-strings, F 4, and D 4 triality

Ist Teil von

• The journal of high energy physics, 2023-07, Vol.2023 (7), p.1-37

Ort / Verlag

SpringerOpen

Erscheinungsjahr

2023

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• Abstract We study the E-string theory on R4 × T 2 with Wilson lines. We consider two examples where interesting automorphisms arise. In the first example, the spectrum is invariant under the F 4 Weyl group acting on the Wilson line parameters. We obtain the Seiberg-Witten curve expressed in terms of Weyl invariant F 4 Jacobi forms. We also clarify how it is related to the thermodynamic limit of the Nekrasov-type formula. In the second example, the spectrum is invariant under the D 4 triality combined with modular transformations, the automorphism originally found in the 4d N = 2 supersymmetric SU(2) gauge theory with four massive flavors. We introduce the notion of triality invariant Jacobi forms and present the Seiberg-Witten curve in terms of them. We show that this Seiberg-Witten curve reduces precisely to that of the 4d theory with four flavors in the limit of T 2 shrinking to zero size.