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Target space duality for \((0,2)\) compactifications. (English) Zbl 0939.32017
Summary: The moduli spaces of two \((0,2)\) compactifications of the heterotic string can share the same Landau-Ginzburg model even though at large radius they look completely different. It was argued that such a pair of \((0,2)\) models might be connected via a perturbative transition at the Landau-Ginzburg point. Situations of this kind are studied for some explicit models. By calculating the exact dimensions of the generic moduli spaces at large radius, strong indications are found in favor of a different scenario. The two moduli spaces are isomorphic and complex, Kähler and bundle moduli get exchanged.

MSC:
32J81 Applications of compact analytic spaces to the sciences
81T60 Supersymmetric field theories in quantum mechanics
83E30 String and superstring theories in gravitational theory
Software:
schubert
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References:
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