%0 Journal Article %T The extensions of $L_{sl_2}(k,0)$ and preunitary vertex operator algebra with central charges $c<1$ %A Chongying Dong %A Xingjun Lin %J Mathematics %D 2014 %I arXiv %R 10.1007/s00220-015-2468-8 %X The extensions of the affine vertex operator algebras $L_{sl_2}(k,0)$ and the preunitary vertex operator algebras with central charges $c<1$ are classified. In particular, the unitary vertex operator algebras with central charges $c<1$ are classified. %U http://arxiv.org/abs/1411.7081v1