New infinite-dimensional hidden symmetries for the stationary axisymmetric Einstein-Maxwell equations with multiple Abelian gauge fields

• 来源期刊: 中国物理(英文版)
• 关键词: stationary axisymmetric Einstein-p-Maxwell theory extended hyperbolic complex function infinite-dim hidden symmetries
• 年，卷（期）: 2004,（5）
• 页码范围: 602-611
• 页数: 10页
• 语种: 英文

摘要

By proposing a so-called extended hyperbolic complex (EHC) function method, an Ernst-like (p + 2) × (p + 2)matrix EHC potential is introduced for the stationary axisymmetric (SAS) Einstein-Maxwell theory with p Abelian gauge fields (EM-p theory, for short), then the field equations of the SAS EM-p theory are written as a so-called HauserErnst-like self-dual relation for the EHC matrix potential. Two Hauser-Ernst-type EHC linear systems are established,based on which some new parametrized symmetry transformations for the SAS EM-p theory are explicitly constructed.These hidden symmetries are found to constitute an infinite-dimensional Lie algebra, which is the semidirect product of the Kac-Moody algebra su(p + 1, 1) R(t, t-1) and Virasoro algebra (without centre charges). All of the SAS EM-p gravity and the Einstein-Maxwell cases.