On the vanishing of the cosmological constant in four-dimensional superstring models

Details On the vanishing of the cosmological constant in four-dimensional superstring models On the vanishing of the cosmological constant in four-dimensional superstring models

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phlb..195..167a&link_type=abstract

Physics Letters B, Volume 195, Issue 2, p. 167-176.

Physics

6

Scientific paper

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.

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