Gauge and gravitational instantons

• Verfasst von: Hebecker, Arthur [VerfasserIn]
• Verfasst von: Henkenjohann, Philipp [VerfasserIn]
• Titel: Gauge and gravitational instantons
• Titelzusatz: from 3-forms and fermions to weak gravity and flat axion potentials
• Verf.angabe: Arthur Hebecker and Philipp Henkenjohann
• E-Jahr: 2019
• Jahr: 05 September 2019
• Umfang: 42 S.
• Fussnoten: Gesehen am 08.10.2019
• Titel Quelle: Enthalten in: Journal of high energy physics
• Ort Quelle: Berlin : Springer, 1997
• Jahr Quelle: 2019
• Band/Heft Quelle: (2019,9) Artikel-Nummer 38, 42 Seiten
• ISSN Quelle: 1029-8479
• DOI: doi:10.1007/JHEP09(2019)038
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Effective Field Theories
• Sach-SW: Global Symmetries
• Sach-SW: Solitons Monopoles and Instantons
• Sach-SW: Superstring Vacua
• K10plus-PPN: 1678395781

Abstract

We investigate the role of gauge and gravitational instantons in the context of the Swampland program. Our focus is on the global symmetry breaking they induce, especially in the presence of fermions. We first recall and make more precise the description of the dilute instanton gas through a 3-form gauge theory. In this language, the familiar suppression of instanton effects by light fermions can be understood as the decoupling of the 3-form. Even if all fermions remain massive, such decoupling may occur on the basis of an explicitly unbroken but anomalous global symmetry in the fermionic sector. This should be forbidden by quantum gravity, which leads us to conjecture a related, cutoff-dependent lower bound on the induced axion potential. Finally, we note that the gravitational counterpart of the above are K3 instantons. These are small fluctuations of Euclidean spacetime with K3 topology, which induce fermionic operators analogous to the ’t Hooft vertex in gauge theories. Although Planck-suppressed, they may be phenomenologically relevant if accompanied by other higher-dimension fermion operators or if the K3 carries appropriate gauge fluxes.