Abstract
We construct holomorphic local conformal framed nets extended from a tensor power of the Virasoro net with c = 1/2 with a pair of binary codes (C,D) satisfying the conditions given by Lam and Yamauchi for holomorphic framed vertex operator algebras. Our result is an operator algebraic counterpart of theirs, but our proof is entirely different. We apply the α-induction in order to identify the representation theory of “code local conformal net” and this gives rise to the existence of the desired local conformal net. Supported in part by Global OE Program “The research and training center for new development in mathematics”, the Mitsubishi Foundation Research Grants and the Grants-in-Aid for Scientific Research, JSPS. Supported by MEXT scholaship
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