Superconformal Algebras and Holomorphic Field Theories

Saberi, Ingmar und Williams, Brian R. (2022): Superconformal Algebras and Holomorphic Field Theories. In: Annales Henri Poincare, Bd. 24, Nr. 2: S. 541-604

Abstract

We show that four-dimensional superconformal algebras admit an infinite-dimensional derived enhancement after performing a holomorphic twist. The type of higher symmetry algebras we find is closely related to algebras studied by Faonte-Hennion-Kapranov, Hennion-Kapranov, and the second author with Gwilliam in the context of holomorphic QFT. We show that these algebras are related to the two-dimensional chiral algebras extracted from four-dimensional superconformal theories by Beem and collaborators;further deforming by a superconformal element induces the Koszul resolution of a plane in C-2 congruent to R-4. The central charges at the level of chiral algebras arise from central extensions of the higher symmetry algebras.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 1424-0637
• Sprache: Englisch