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arXiv · 1502.07760

New Derivation of Off-Shell Representations of the Multi-dimensional Affine and Virasoro Algebras

T. A. Larsson
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Abstract

Algebras of currents and diffeomorphisms in arbitrary dimension have extensions which generalize the affine and Virasoro algebras on the circle. A large class of off-shell representations was discovered in Comm. Math. Phys. 214 (2000) 469--491. That paper is not so accessible due to a slightly non-standard normal ordering formalism and cumbersome $p$-jet calculations. The purpose of the present paper is to simplify the derivation using standard OPE methods and a more field-like formalism.

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T. A. Larsson. 2015-01-19. New Derivation of Off-Shell Representations of the Multi-dimensional Affine and Virasoro Algebras. https://arxiv.org/abs/1502.07760

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