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Institute for the Physics and Mathematics of the UniverseWPI

IPMU Komaba seminar

Date: December 1, 2008, 17:00 - 18:30
Place: Room 002, Mathematical Sciences Building, Komaba Campus, The University of Tokyo
Speaker: Kentaro Hori (University of Toronto / IPMU)
Title: A pair of non-birational but derived equivalent Calabi-Yau manifolds from non-Abelian gauge theories
Abstract: We construct a family of (2,2) supersymmetric gauge theories in 2-dimensions that flows to a family of (2,2) superconformal fields theories with \hat{c}=3. The family has two limits and three singular points. The two limits correspond to two Calabi-Yau manifolds which are not birationally equivalent. The two are, however, derived equivalent by general principle of supersymmetric quantum field theory.