Supersymmetries in Free Fermionic Strings

Details Supersymmetries in Free Fermionic Strings Supersymmetries in Free Fermionic Strings

1995-05-13

arxiv.org/abs/hep-th/9505080v7

Nucl.Phys. B456 (1995) 219-256

Physics

High Energy Physics

High Energy Physics - Theory

changes to match journal version; tex, 53 pages

Scientific paper

10.1016/0550-3213(95)00481-0

Consistent heterotic free fermionic string models are classified in terms of their number of spacetime supersymmetries, N. For each of the six distinct choices of gravitino sector, we determine what number of supersymmetries can survive additional GSO projections. We prove by exhaustive search that only three of the six can yield N = 1, in addition to the N = 4, 2, or 0 that five of the six can yield. One choice of gravitino sector can only produce N = 4 or 0. Relatedly, we find that only Z_2, Z_4, and Z_8 twists of the internal fermions with worldsheet supersymmetry are consistent with N=1 in free fermionic models. Any other twists obviate N=1.

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