Spectrum generating algebra and no-ghost theorem for fermionic massive string

Zbigniew Hasiewicz, Zbigniew Jaskólski, Andrzej Ostrowski
1999 Nuclear Physics B  
The covariant operator quantization of the ordinary free spinning BDH string modified by adding the supersymmetric Liouville sector is analysed in the even target space dimensions d=2,4,6,8. The spectrum generating algebra for this model is constructed and a general version of the no-ghost theorem is proven. A counterpart of the GSO projection leads to a family of tachyon free unitary free string theories. One of these models is equivalent to the non-critical Rammond-Neveu-Schwarz spinning
more » ... g truncated in the Neveu-Schwarz sector to the tachyon free eigenspace of the fermion parity operator.
doi:10.1016/s0550-3213(99)00256-4 fatcat:uxtjfknx5ngercpkrffjndyv7q