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SEMISIMPLE LIE ALGEBRAS
REPRESENTATIONS OF AFFINE
11 other sections not shown
Abelian action admissible basis affine Lie algebra algebra g anomaly bosonic central extension Chern class chiral cocycle coefficients cohomology commutation relations components connection consists construction coordinates corresponding curvature define definition denote determinant bundle DETp diffeomorphism differential form DiffS1 dimension dimensional Dirac operator eigenvalue elements equal equation equivalence fermionic fiber finite finite-dimensional Fock bundle Fock space follows formula gauge transformations Grassmannian group G group GLp Hamiltonian Hermitian highest weight representation highest weight vector Hilbert space holomorphic holomorphic sections homotopy inner product integral invariant irreducible isomorphism line bundle linear operators loops manifold matrix multiplication nonzero obtained orthogonal orthonormal basis parametrized polynomial principal bundle PROOF Proposition pull-back quantized simple roots smooth function space-time spanned spin string structure subgroup subspace symplectic tangent space tangent vector term THEOREM theory trivial unitary vacuum vector vector bundle vector fields vector potential vector space Virasoro algebra well-defined zero