Virasoro representations with central charges 1/2 and 1 on the real neutral fermion Fock space F?1/2

22nd International Conference on Integrable Systems and Quantum Symmetries

Anguelova, Iana I.^1

Department of Mathematics, College of Charleston, Charleston

SC

29424, United States^1

关键词: Direct sum;    Fock spaces;    Neutral fermions;    Virasoro algebra;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/563/1/012001/pdf
DOI  :  10.1088/1742-6596/563/1/012001

来源: IOP

【 摘 要 】

We study a family of fermionic oscillator representations of the Virasoro algebra via 2-point-local Virasoro fields on the Fock space F⊗1/2of a neutral (real) fermion. We obtain the decomposition of F⊗1/2as a direct sum of irreducible highest weight Virasoro modules with central charge c = 1. As a corollary we obtain the decomposition of the irreducible highest weight Virasoro modules with central charge c 1/2 into irreducible highest weight Virasoro modules with central charge c 1. As an application we show how positive sum (fermionic) character formulas for the Virasoro modules of charge c 1/2 follow from these decompositions.