C_2 cofiniteness of vertex operator algebra V_L^+ when L is a rank one lattice

Details C_2 cofiniteness of vertex operator algebra V_L^+ when L is a rank one lattice C_2 cofiniteness of vertex operator algebra V_L^+ when L is a rank one lattice

2002-02-07

arxiv.org/abs/math/0202056v4

Mathematics

Quantum Algebra

26 pages

Scientific paper

Let L be a rank one positive definite even lattice. We prove that a vertex
operator algebra (VOA) V_L^+ satisfies the C_2 condition. Here, V_L^+ is a
fixed point sub-VOA of the VOA V_L associated with the automorphism lifted from
the -1 isometry of L.

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