Some algebraic properties of the supersymmetric extension of GCA in 2d

DOI10.1088/1751-8113/47/22/225202zbMath1301.81077OpenAlexW2013336290MaRDI QIDQ4979924

Yufeng Pei, Shoulan Gao, Cheng-Ming Bai

Publication date: 19 June 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/47/22/225202

zbMATH Keywords

automorphismLie superalgebraderivationcentral extensionBalinsky-Novikov algebraGalilean conformal algebra

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (4)

Super-GCA from \(\mathcal{N} = (2, 2)\) super-Virasoro ⋮ Left-symmetric superalgebra structures on the super Galilean conformal algebra ⋮ Lie super-bialgebra structures on super \(\mathcal{W}\)-algebra \(\mathcal{SW}(\frac{3}{2}, \frac{3}{2})\) ⋮ 2-Local superderivations on the super Virasoro algebra and the super W(2,2) algebra

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