Rationality of vertex operator algebra V_L^+: higher rank
classification
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operatorvertexalgebralatticeassociatedautomorphismdefiniteestablished
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The lattice vertex operator V_L associated to a positive definite even lattice L has an automorphism of order 2 lifted from -1 isometry of L. It is established that the fixed point vertex operator algebra V_L^+ is rational.
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