Bulg. J. Phys. vol.35 no.s1 (2008), pp. 3- 24



SUSY Lattice Vertex Algebras

Reimundo Heluani1, Victor G. Kac2
1Department of Mathematics, UC Berkeley, Berkeley, CA 94720
2Department of Mathematics, MIT, Cambridge, MA 02139
Abstract. We construct and study SUSY lattice vertex algebras. As a simple example, we obtain the superconformal N = 3 vertex algebra of central charge 3/2, as the SUSY lattice vertex algebra associated to Z with bilinear form (a,b) = 2ab.

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