Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-07-23
Int.J.Mod.Phys. A14 (1999) 1357-1378
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, LaTeX
Scientific paper
10.1142/S0217751X99000713
In previous work, the conformal-gauge two-dimensional quantum gravity in the BRS formalism has been solved completely in terms of Wightman functions. In the present paper, this result is extended to the closed and open bosonic strings of finite length; the open-string case is nothing but the Kato-Ogawa string theory. The field-equation anomaly found previously, which means a slight violation of a field equation at the level of Wightman functions, remains existent also in the finite-string cases. By using this fact, a BRS charge nilpotent even for $D\not=26$ is explicitly constructed in the framework of the Kato-Ogawa string theory. The FP-ghost vacuum structure of the Kato-Ogawa theory is made more transparent; the appearance of half-integral ghost numbers and the artificial introduction of indefinite metric are avoided.
Abe Mitsuo
Nakanishi Noboru
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