Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
Keywords: gauge symmetry, classical theories of gravity, space-time symmetries, chern-simons theories
Abstract
In this work we analyze the asymptotic symmetries of the three-dimensional Chern-Simons (CS) gravity theory for a higher spin extension of the so-called Maxwell algebra. We propose a generalized set of asymptotic boundary conditions for the aforementioned flat gravity theory and we show that the corresponding charge algebra defines a higher-spin extension of the max\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathfrak{\max}$$\end{document}-bms3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathfrak{bm}{\mathfrak{s}}_3 $$\end{document} algebra, which in turn corresponds the asymptotic symmetries of the Maxwell CS gravity. We also show that the hs3max\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathfrak{h}{\mathfrak{s}}_3\mathfrak{\max} $$\end{document}-bms3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathfrak{bm}{\mathfrak{s}}_3 $$\end{document} algebra can alternatively be obtained as a vanishing cosmological constant limit of three copies of the W3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\mathcal{W}}_3 $$\end{document} algebra, with three independent central charges.
Más información
Título según WOS: | Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields |
Número: | 2 |
Fecha de publicación: | 2025 |
Idioma: | English |
DOI: |
10.1007/JHEP02(2025)148 |
Notas: | ISI |