Spin Field Correlators on an Arbitrary Genus Riemann Surface and Nonrenormalization Theorems in String Theories

Atick, Joseph J.; Sen, Ashoke

doi:10.1016/0370-2693(87)90304-2

Spin Field Correlators on an Arbitrary Genus Riemann Surface and Nonrenormalization Theorems in String Theories

Joseph J. Atick
(
- Stanford U., ITP
)
,
Ashoke Sen
(
- SLAC
)

Oct, 1986

8 pages

Published in:

Phys.Lett.B 186 (1987) 339-346

Published: 1987

DOI:

10.1016/0370-2693(87)90304-2

Report number:

SLAC-PUB-4131

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Abstract: (Elsevier)

We calculate the n -point correlation functions of spin fields on an arbitrary genus Riemann surface. We also calculate the corresponding correlators for the spin fields associated with the local supersymmetry ghosts using a specific ansatz for screening the background ghost charge. Using these results we show by explicit calculation that to all orders in the string perturbation theory all n -point amplitudes involving massless fields in the superstring and the heterotic string theory vanish identically for 0 ⩽ n ⩽ 3.

MODEL: STRING
FIELD THEORY: SPACE-TIME
FIELD THEORY: PATH INTEGRAL
FIELD THEORY: GHOST
N-POINT FUNCTION
SUPERSYMMETRY
RENORMALIZATION: REGULARIZATION
PERTURBATION THEORY: HIGHER-ORDER

References(9)

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