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The polyakov path integral over bordered surfaces

III. The BRST extended closed string off-shell amplitudes

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Abstract

The geometrical approach to the functional integral over Faddeev-Popov ghost fields is developed and applied to construct the BRST extension of the off-shell closed string amplitudes in the constant curvature gauge. In this gauge the overlap path integral for off-shell amplitudes is evaluated. It leads to the nonlocal sewing procedure generating all off-shell amplitudes from the cubic interaction vertex. The general scheme of the reconstruction of a covariant closed string field theory from the off-shell amplitudes is discussed within the path integral framework.

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Author notes

  1. Zbigniew Jaskólski

    Present address: Institute of Theoretical Physics, Wroclaw University, ul. Cybulskiego 36, PL-50205, Wroclaw, Poland

Authors and Affiliations

  1. Mathematics Group, International Centre of Theoretical Physics, Trieste, Italy

    Zbigniew Jaskólski

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  1. Zbigniew Jaskólski
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Communicated by N. Yu. Reshetikhin

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Jaskólski, Z. The polyakov path integral over bordered surfaces. Commun.Math. Phys. 147, 343–364 (1992). https://doi.org/10.1007/BF02096591

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  • DOI: https://doi.org/10.1007/BF02096591

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