Note on N=0 string as N=1 string

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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4 pages, latex, UT-Komaba/93-23

Scientific paper

10.1142/S0217732394000538

A similarity transformation, which brings a particular class of the $N=1$ string to the $N=0$ one, is explicitly constructed. It enables us to give a simple proof for the argument recently proposed by Berkovits and Vafa. The $N=1$ BRST operator is turned into the direct sum of the corresponding $N=0$ BRST operator and that for an additional topological sector. As a result, the physical spectrum of these $N=1$ vacua is shown to be isomorphic to the tensor product of the $N=0$ spectrum and the topological sector which consists of only the vacuum. This transformation manifestly keeps the operator algebra.

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