超顶点代数L_{c_m}的\sigma-正则性

\sigma-regularity of the vertex superalgebra L_{c_m}

摘要:

设~$L_{c_m}$~是由~N=2~超共形代数构造的不可约超顶点代数, 其中c_m=\frac{3m}{m+2}. 2001年, Drazen Adamovic证明了L_{c_m}的正则性.本文主要考虑单超顶点代数L_{c_{m}}和自同构\sigma, 满足条件\sigma|_{(L_{c_m})_{\bar0}}=id且\sigma|_{(L_{c_m})_{\bar1}}=-id. 证明了L_{c_{m}}$~的\sigma-正则性.

Abstract:

Let $L_{c_m}$ be the irreducible vertex superalgebra constructed by the N=2 superconformal algebra with $c_m=\frac{3m}{m+2}$. Drazen Adamovic gave the proof of the regularity of L_{c_m} in 2001.We consider the simple vertex superalgebra L_{c_{m}} and the automorphism \sigma, which satisfy \sigma|_{(L_{c_m})_{\bar0}}=id and \sigma|_{(L_{c_m})_{\bar1}}=-id. We give the proof of the \sigma-regularity of L_{c_{m}}.