De Rham Cohomology of the Supermanifolds and Superstring BRST Cohomology

Details De Rham Cohomology of the Supermanifolds and Superstring BRST Cohomology De Rham Cohomology of the Supermanifolds and Superstring BRST Cohomology

1996-09-28

arxiv.org/abs/hep-th/9609220v1

Phys.Lett. B403 (1997) 47-50

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1016/S0370-2693(97)00445-0

We show that the BRST operator of Neveu-Schwarz-Ramond superstring is closely related to de Rham differential on the moduli space of decorated super-Riemann surfaces P. We develop formalism where superstring amplitudes are computed via integration of some differential forms over a section of P over the super moduli space M. We show that the result of integration does not depend on the choice of section when all the states are BRST physical. Our approach is based on the geometrical theory of integration on supermanifolds of which we give a short review.

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