报告题目：Exact gauge fields from anti-de Sitter space

报告人：Kaushlendra Kumar

单位：德国莱布尼茨汉诺威大学

时间：2023年3月15日18:00

ZOOM ID：210-089-8623

密码：123456

摘要：In 1977 Lüscher found a class of SO(4)-symmetric SU(2) Yang--Mills solutions in Minkowski space, which have been rederived 40 years later by employing the isometry S3≅SU(2) and conformally mapping SU(2)-equivariant solutions of the Yang--Mills equations on (two copies of) de Sitter space dS4≅ℝ×S3. Here we present the noncompact analog of this construction via AdS≅SU(1,1). On (two copies of) anti-de Sitter space AdS4≅ℝ×AdS3 we write down SU(1,1)-equivariant Yang--Mills solutions and conformally map them toℝ(1,3). This yields a two-parameter family of exact SU(1,1) Yang--Mills solutions on Minkowski space, whose field strengths are essentially rational functions of Cartesian coordinates. Gluing the two AdS copies happens on a dS3 hyperboloid in Minkowski space, and our Yang--Mills configurations are singular on a two-dimensional hyperboloid dS3∩ℝ(1,2). This renders their action and the energy infinite, although the field strengths fall off fast asymptotically except along the lightcone. We also construct Abelian solutions, which share these properties but are less symmetric and of zero action.

简介：Kaushlendra Kumar received his PhD from Leibniz University, Hannover, Germany in 2022 and is presently a postdoc at Leibniz University. Kumar is an expert on Yang-Mills instantons on various spaces. Kumar has published 7 papers in Phys.Lett.B, J.Phys.A, Nucl.Phys.B, Phys. Lett.A, Phys.Rev. D, Int.J.Geom.Meth.Mod.Phys., and Eur.Phys.J.Plus with over 30 citations.