Physics – Mathematical Physics
Scientific paper
2011-10-10
Physics
Mathematical Physics
10 pages. Research conducted as Graduate Student. Advisor: Dr. Christopher Pope (Dept. of Physics and Astronomy, Texas A&M Uni
Scientific paper
It is known that every compact simple Lie group admits a bi-invariant homogeneous Einstein metric. In this paper we use two ansatz to probe the existence of additional inequivalent Einstein metrics on the Lie group SU (n) for arbitrary n. We provide an explicit construction of (2k+1) inequivalent Einstein metrics on SU (2k) and 2k inequivalent Einstein metrics on SU (2k + 1).
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