Spectrum Generating Algebra and No-Ghost Theorem for Fermionic Massive String

Details Spectrum Generating Algebra and No-Ghost Theorem for Fermionic Massive String Spectrum Generating Algebra and No-Ghost Theorem for Fermionic Massive String

1999-01-23

arxiv.org/abs/hep-th/9901116v1

Nucl.Phys. B551 (1999) 705-722

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1016/S0550-3213(99)00256-4

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 string truncated in the Neveu-Schwarz sector to the tachyon free eigenspace of the fermion parity operator.

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