Spectrum of Two-Dimensional (Super) Gravity | Zendy

Katsumi Itoh | Zendy; Nobuyoshi Ohta | Zendy

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Spectrum of Two-Dimensional (Super) Gravity

Author(s) -

Katsumi Itoh,

Nobuyoshi Ohta

Publication year - 1992

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.110.97

Subject(s) - spectrum (functional analysis) , brst quantization , realization (probability) , conformal map , operator (biology) , physics , mathematical physics , theoretical physics , ring (chemistry) , mathematics , quantum mechanics , geometry , gauge theory , statistics , biochemistry , chemistry , organic chemistry , repressor , transcription factor , gene

We review the BRST analysis of the system of a (super)conformal mattercoupled to 2D (super)gravity. The spectrum and its operator realization arereported. In particular, the operators associated with the states of nonzeroghost number are given. We also discuss the ground ring structure of thesuper-Liouville coupled to ${\hat c}=1$ matter. In appendices, hermiticities,states for $c<1$ conformal matter coupled to gravity and the proof for thespectrum are discussed.Comment: 34 page

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