The Lie algebra of sl(2)-valued automorphic functions on a torus

Details The Lie algebra of sl(2)-valued automorphic functions on a torus The Lie algebra of sl(2)-valued automorphic functions on a torus

1993-02-26

arxiv.org/abs/hep-th/9302138v1

Lett.Math.Phys. 31 (1994) 65-76

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1007/BF00751172

It is shown that the Lie algebra of the automorphic, meromorphic sl(2, C) -valued functions on a torus is a geometric realization of a certain infinite-dimensional finitely generated Lie algebra. In the trigonometric limit, when the modular parameter of the torus goes to zero, the former Lie algebra goes over into the sl(2,C) -valued loop algebra, while the latter one - into the Lie algebra (sl(2)^)'/(centre) .

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