On the Vanishing of the Cosmological Constant in Four-dimensional Superstring Models

Arnaudon, D.; Bachas, C.P.; Rivasseau, V.; Vegreville, P.

doi:10.1016/0370-2693(87)91189-0

On the Vanishing of the Cosmological Constant in Four-dimensional Superstring Models

D. Arnaudon
(
- Ecole Polytechnique
)
,
C.P. Bachas
(
- Ecole Polytechnique
)
,
V. Rivasseau
(
- Ecole Polytechnique
)
,
P. Vegreville
(
- Ecole Polytechnique
)

Mar, 1987

10 pages

Published in:

Phys.Lett.B 195 (1987) 167-176

Published: 1987

DOI:

10.1016/0370-2693(87)91189-0

Report number:

Print-87-0324 (ECOLE POLY)

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Abstract: (Elsevier)

In the general framework of the recently constructed fermionic superstring models, which can live in any spacetime dimension below ten and including four, we prove that the cosmological constant vanishes to all orders in the loop expansion if: (i) the free string spectrum contains at least one massless spin 3 2 particle, and (ii) a simple conjecture on the spin-structure dependence of the superghost and supermoduli contribution to the amplitudes holds. This conjecture, which arises naturally in the context of four-dimensional N = 1 superstrings, is the simplest one compatible with multiloop modular invariance.

model: string
supersymmetry
scattering amplitude
perturbation theory: higher-order
invariance: reparametrization
cosmological constant

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Figures(0)

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