Contents Chapter 0 Introduction 1 Chapter 1 Summary 13 Chapter 2 Affine Algebras and Representations 34 Chapter 3 Spinor Construction of Vertex Operator Superalgebras 44 Chapter 4 Spinor Construction of the Chevalley Algebra and Triality for D4 74 Chapter 5 Spinor Construction of Triality for Dil ) 91 Chapter 6 Spinor Construction of a Vertex Operator Para-algebra for Dil ) 106 Chapter 7 Spinor Construction of E8 128 Chapter 8 Spinor Construction of Vertex Operator Algebras for E~I) 132 References 144 ix
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