具有宇宙常数的\(w_{1+\infty}\)代数与天球

w_{1+∞} Algebra with a Cosmological Constant and the Celestial Sphere.

作者信息

Taylor Tomasz R, Zhu Bin

机构信息

Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA.

Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland.

出版信息

Phys Rev Lett. 2024 May 31;132(22):221602. doi: 10.1103/PhysRevLett.132.221602.

DOI:10.1103/PhysRevLett.132.221602

PMID:38877947

Abstract

It is shown that there exists a simple deformed version of Strominger's infinite-dimensional w_{1+∞} algebra of soft graviton symmetries, which we conjecture to arise in spacetimes with a nonvanishing cosmological constant. The deformed algebra contains a subalgebra generating SO(1,4) or SO(2,3) symmetry groups of dS_{4} or AdS_{4}, depending on the sign of the cosmological constant. The transformation properties of soft gauge symmetry currents under the deformed w_{1+∞} are also discussed.

摘要

结果表明，存在一种史特罗明格（Strominger）软引力子对称性的无穷维(w_{1 + \infty})代数的简单变形版本，我们推测它出现在具有非零宇宙学常数的时空中。根据宇宙学常数的符号，变形代数包含一个生成(dS_{4})或(AdS_{4})的(SO(1,4))或(SO(2,3))对称群的子代数。还讨论了软规范对称流在变形的(w_{1 + \infty})下的变换性质。