Causality and supersymmetry in the superstring theory

Mathematics – Logic

Scientific paper

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Scientific paper

Reduction of the ten-dimensional, heterotic-superstring effective action μν and N = 1 supersymmetry is preserved via the equation d≡ tr(∧ ∧ μνξ is the totally antisymmetric three-index field (while the bosonic string and type-II superstring may contain a spin-2 tachyon and a spin-0 tachyon, respectively). Here, we show that this crucial feature is independent of imposing supersymmetry, for if d¬=; 0, there is an additional contribution to R2 which, however, produces no tachyons. Thus, the requirement of a stable, causal theory singles out the heterotic superstring irrespective of the requirement of N = 1 supersymmetry, which is essential at high energies rather for its roles in the vanishing of the cosmological constant and the maintenance of the gauge hierarchy.

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