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Superconformal current algebras and their unitary representations (1985)

Kac, Victor G. ; Todorov, Ivan T.

Springer

Communications in mathematical physics 102 (1985), S. 337-347

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract A natural supersymmetric extension $$(\widehat{dG})_\kappa$$ is defined of the current (= affine Kac-Moody Lie) algebra $$\widehat{dG}$$ ; it corresponds to a superconformal and chiral invariant 2-dimensional quantum field theory (QFT), and hence appears as an ingredient in superstring models. All unitary irreducible positive energy representations of $$(\widehat{dG})_\kappa$$ are constructed. They extend to unitary representations of the semidirect sumS κ(G) of $$(\widehat{dG})_\kappa$$ with the superconformal algebra of Neveu-Schwarz, for $$\kappa = \frac{1}{2}$$ , or of Ramond, for κ=0.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01229384

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