On deformations and extensions of Diff(S-2)

Rojo, Martin Enriquez; Prochazka, Tomas und Sachs, Ivo (2021): On deformations and extensions of Diff(S-2). In: Journal of High Energy Physics, Nr. 10, 133

Abstract

We investigate the algebra of vector fields on the sphere. First, we find that linear deformations of this algebra are obstructed under reasonable conditions. In particular, we show that hs[lambda], the one-parameter deformation of the algebra of area-preserving vector fields, does not extend to the entire algebra. Next, we study some non-central extensions through the embedding of vect(S-2) into vect(C*). For the latter, we discuss a three parameter family of non-central extensions which contains the symmetry algebra of asymptotically flat and asymptotically Friedmann spacetimes at future null infinity, admitting a simple free field realization.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 1029-8479
• Sprache: Englisch