Fock Representations
نویسنده
چکیده
In this note we use Clifford algebras and their Fock representations to build representations of LU(N) and LSU(N). Let H be the Hilbert space of square-integrable sections of the trivial rank N complex vector bundle over S and P : H → H the projection onto the space spanned by non-negative Fourier modes. To this data we can associate the Fermionic Fock space FP . FP is a representation of level 1 of LU(N). It turns out that all positive energy representations LSU(N) at level l are contained in the Fermionic representation F⊗l P .
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