Explicit Calculation of Multiloop Amplitudes in the Superstring Theory

Details Explicit Calculation of Multiloop Amplitudes in the Superstring Theory Explicit Calculation of Multiloop Amplitudes in the Superstring Theory

1993-05-06

arxiv.org/abs/hep-th/9305029v1

Phys.Atom.Nucl. 60 (1997) 1358-1370

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LATEX, Preprint PNPI-1872, May 1993

Scientific paper

Multiloop superstring amplitudes are calculated in the explicit form by the solution of Ward identities. A naive generalization of Belavin-Knizhnik theorem to the superstring is found to be incorrect since the period matrix turns out to be depended on the spinor structure over the terms proportional to odd moduli. These terms appear because fermions mix bosons under the two-dim. supersymmetry transformations. The closed, oriented superstring turns out to be finite, if it possesses the ten-dimensional supersymmetry, as well as the two-dimentional one. This problem needs a further study.

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