Hermitian symmetric superspaces of type IV

• Type of Material: Article
• Authors: David Borthwick, Emory University; Andrzej Lesniewski, Harvard University; Maurizio Rinaldi, Harvard University
• Language: English
• Date: 1993-05
• Publisher: American Institute of Physics (AIP)
• Publication Version: Final Published Version
• Copyright Statement: © 2013 American Institute of Physics
• Final Published Version (URL): http://link.aip.org/link/doi/10.1063/1.530323
• Title of Journal or Parent Work: Journal of Mathematical Physics
• ISSN: 0022-2488
• Volume: 34
• Issue: 10
• Start Page: 4817
• End Page: 4833
• Grant/Funding Information: M. R. was supported in part by the Consiglio Nazionale delle Ricerche (Cl=).; One of us (A. L.) was supported in part by the Department of Energy under Grant No. DE-FGO2-88ER25065.
• Research Categories: Physics, General; Mathematics

Abstract

A construction of the Hermitian symmetric superspaces which are the supermanifold analogs of the Cartan domains of type IV is presented herein. Natural generalizations of the Jordan triple product and Bergman operator for the superdomains are defined, and their properties are studied.