We summarize an explicit construction of a duality cycle for geometric transitions in type II and heterotic theories. We emphasize that the manifolds with torsion constructed with this duality cycle are crucial for understanding different phenomena appearing in effective field theories. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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Inst Nacl Matemat Pura & Aplicada IMPA, Rio De Janeiro, Brazil
Natl Res Univ Higher Sch Econ, Moscow, RussiaInst Nacl Matemat Pura & Aplicada IMPA, Rio De Janeiro, Brazil
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Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA
Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R ChinaOhio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA