Publication
Title
Spherical harmonics and integration in superspace : 2
Author
Abstract
The study of spherical harmonics in superspace, introduced in (De Bie and Sommen 2007 J. Phys. A: Math. Theor. 40 7193) is further elaborated. A detailed description of spherical harmonics of degree k is given in terms of bosonic and fermionic pieces, which also determines the irreducible pieces under the action of SO(m) x Sp(2n). In the second part of the paper, this decomposition is used to describe all possible integrations over the supersphere. It is then shown that only one possibility yields the orthogonality of spherical harmonics of different degrees. This is the so-called Pizzetti-integral of which it was shown in (De Bie and Sommen 2007 J. Phys. A: Math. Theor. 40 7193) that it leads to the Berezin integral.
Language
English
Source (journal)
Journal of physics : A : mathematical and theoretical / Institute of Physics. - London
Publication
London : 2009
ISSN
1751-8113 [print]
1751-8121 [online]
Volume/pages
42:24(2009), p. 245204,1-245204,18
Article Reference
245204
ISI
000266457600008
Medium
E-only publicatie
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 24.02.2012
Last edited 21.06.2017
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