Summary
We formulate Witten’s proposal of a covariant open-string theory in terms of oscillator modes and show that some basic axioms for the noncommutative geometry are obeyed as algebraic operations, which were defined previously from a geometrical point of view. Our strategy is based on the proper bosonization of the conformal ghost fields.
Riassunto
Si formula la proposta di Witten di una teoria covariante di stringa aperta in termini di modi oscillatori e si mostra che alcuni assiomi di base della geometria non commutativa sono rispettati come operazioni algebriche, definite in precedenza da un punto di vista geometrico. La nostra strategia si basa sull’adeguata bosonizzazione dei campi fantasma conformi.
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This work was supported by the US Department of Energy under Contract No. DE-AC03-76SF00098 and by the US National Science Foundation under contract No. PHY82-01948.
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Iwazaki, A. Bosonization of conformal ghosts in Witten’s string theory. Nuov Cim A 97, 427–438 (1987). https://doi.org/10.1007/BF02734467
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DOI: https://doi.org/10.1007/BF02734467