On the N = 1 Bondi-Metzner-Sachs Lie Conformal Superalgebra

Abstract

This paper constructs a finite Lie conformal superalgebra

\mathfrak{R}

\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${\frak R}$$\end{document}

associated to the N = 1 Bondi-Metzner-Sachs (BMS for short) superalgebra. The authors completely determine conformal derivations, the automorphism group, and the second cohomology with coefficients in trivial module. They also classify free conformal modules of rank (1 + 1) and finite irreducible conformal modules over

\mathfrak{R}

\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${\frak R}$$\end{document}

.

Keywords

Conformal derivation / Automorphism / Second cohomology / Conformal module / 17B65 / 17B68 / 17B69 / 17B70 / 81R10

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