Superconformal anomaly free models in D=4

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A family of modified $(0,1)$ heterotic string models in D=4 is constructed in which the strings incorporate $R$ flux tubes which may in special cases support a local spacetime superconformal symmetry consistent with quantum mechanics. There is an intrinsic Goldstino multiplet, so that supersymmetry breaking can be driven by any process that generates a non-zero value for the superpotential. The superconformal anomaly freedom of these models may be related to a naturally vanishing $Λ$. The $R$ charge of such models may also play a role in producing a generation-ordered fermion spectrum. \
8 pages, Latex. v3. First section rewritten to use $R$ anomaly cancellation between level zero states without Chern-Simons branes

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