F-theory and 2d (0,2) theories

• Verfasst von: Schäfer-Nameki, Sakura [VerfasserIn]
• Verfasst von: Weigand, Timo [VerfasserIn]
• Titel: F-theory and 2d (0,2) theories
• Verf.angabe: Sakura Schäfer-Nameki and Timo Weigand
• E-Jahr: 2016
• Jahr: May 11, 2016
• Umfang: 105 S.
• Fussnoten: Gesehen am 16.12.2020
• Titel Quelle: Enthalten in: Journal of high energy physics
• Ort Quelle: Berlin : Springer, 1997
• Jahr Quelle: 2016
• Band/Heft Quelle: (2016,05) Artikel-Nummer 059, 105 Seiten
• ISSN Quelle: 1029-8479
• DOI: doi:10.1007/JHEP05(2016)059
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 156652217X

Abstract

F-theory compactified on singular, elliptically fibered Calabi-Yau five-folds gives rise to two-dimensional gauge theories preserving N = (0, 2) supersymmetry. In this paper we initiate the study of such compactifications and determine the dictionary between the geometric data of the elliptic fibration and the 2d gauge theory such as the matter content in terms of (0, 2) superfields and their supersymmetric couplings. We study this setup both from a gauge-theoretic point of view, in terms of the partially twisted 7-brane theory, and provide a global geometric description based on the structure of the elliptic fibration and its singularities. Global consistency conditions are determined and checked against the dual M-theory compactification to one dimension. This includes a discussion of gauge anomalies, the structure of the Green-Schwarz terms and the Chern-Simons couplings in the dual M-theory supersymmetric quantum mechanics. Furthermore, by interpreting the resulting 2d (0, 2) theories as heterotic worldsheet theories, we propose a correspondence between the geometric data of elliptically fibered Calabi-Yau five-folds and the target space of a heterotic gauged linear sigma-model (GLSM). In particular the correspondence between the Landau-Ginsburg and sigma-model phase of a 2d (0, 2) GLSM is realized via different T-branes or gluing data in F-theory.