NONSTANDARD MATRIX FORMATS OF LIE SUPERALGEBRAS-Reference-Cited by-同舟云学术

NONSTANDARD MATRIX FORMATS OF LIE SUPERALGEBRAS

Published:1999-10-10 Issue:25 Volume:14 Page:4043-4060
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

DELDUC F.¹,GIERES F.²,GOURMELEN S.³,THEISEN S.⁴

Affiliation:

1. Laboratoire de Physique (UMR 8514, CNRS et École Normale Supérieure de Lyon.), Groupe de Physique Théorique ENS Lyon, 46, allée d'Italie, F-69364 – Lyon CEDEX 07, France

2. Max-Planck-Institut für Physik, Werner Heisenberg Institut, Föhringer Ring 6, D-80805 – München, Germany

3. Institut de Physique Nucléaire, Université Claude Bernard (Lyon 1), 43, boulevard du 11 novembre 1918, F-69622 – Villeurbanne CEDEX, France

4. Sektion Physik der Universität München, Theresienstraße 37, D-80333 – München, Germany

Abstract

The standard format of matrices belonging to Lie superalgebras consists of partitioning the matrices into even and odd blocks. In this paper, we present a systematic study of other possible matrix formats and in particular of the so-called diagonal format which naturally occurs in various physical applications, e.g. for the supersymmetric versions of conformal field theory, integrable models. W algebras and quantum groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X99001895

Reference10 articles.

1. Lie superalgebras

2. Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)

3. Superconformally covariant operators and super‐W‐algebras

4. d=2, N=2 superconformally covariant operators and super W-algebras

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