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Conformal fields: a class of representations of Vect(N) | | T. A. Larsson
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9 Jul 1992 | | Journal: | Int.J.Mod.Phys. A7 (1992) 6493 | | Subject: | hep-th | | Abstract: | $Vect(N)$, the algebra of vector fields in $N$ dimensions, is studied. Some aspects of local differential geometry are formulated as $Vect(N)$ representation theory. There is a new class of modules, {it conformal fields}, whose restrictions to the subalgebra $sl(N+1) subset Vect(N)$ are finite-dimensional $sl(N+1)$ representations. In this regard they are simpler than tensor fields. Fock modules are also constructed. Infinities, which are unremovable even by normal ordering, arise unless bosonic and fermionic degrees of freedom match. | | Source: | arXiv, hep-th/9207029 | | Services: | Forum | Review | PDF | Favorites | |
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