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Inonu-Wigner Contractions of Kac-Moody Algebras | | Parthasarathi Majumdar
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15 Jul 1992 | | Journal: | J.Math.Phys. 34 (1993) 2059-2065 | | Subject: | hep-th | | Abstract: | We discuss Inönü-Wigner contractions of affine Kac-Moody algebras. We show that the Sugawara construction for the contracted affine algebra exists only for a fixed value of the level $k$, which is determined in terms of the dimension of the uncontracted part of the starting Lie algebra, and the quadratic Casimir in the adjoint representation. Further, we discuss contractions of $G/H$ coset spaces, and obtain an affine {it translation} algebra, which yields a Virasoro algebra (via a GKO construction) with a central charge given by $dim(G/H)$. | | Source: | arXiv, hep-th/9207057 | | Services: | Forum | Review | PDF | Favorites | |
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