Supersymmetry and the generalized Lichnerowicz formula
| dc.creator | Ackermann, Thomas | |
| dc.date | 1996-01-14 | |
| dc.date.accessioned | 2026-07-07T09:12:41Z | |
| dc.date.available | 2026-07-07T09:12:41Z | |
| dc.description | A classical result in differential geometry due to Lichnerowicz [8] is concerned with the decomposition of the square of Dirac operators defined by Clifford connections on a Clifford module ${\cal E}$\ over a Riemannian manifold $M$. Recently, this formula has been generalized to arbitrary Dirac operators [2]. In this paper we prove a supersymmetric version of the generalized Lichnerowicz formula, motivated by the fact that there is a one-to-one correspondence between Clifford superconnections and Dirac operators. We extend this result to obtain a simple formula for the supercurvature of a generalized Bismut superconnection. This might be seen as a first step to prove the local index theorem also for families of arbitrary Dirac operators. | |
| dc.description | 20 pages, plain tex | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9601004 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9601004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152104 | |
| dc.subject | Differential Geometry | |
| dc.title | Supersymmetry and the generalized Lichnerowicz formula | |
| dc.type | text |