Conformal Field Theory and the Reid Conjecture

Allan Adams

Conformal Field Theory and the Reid Conjecture

High Energy Physics - Theory 2007-05-23 v1 Algebraic Geometry

Authors: Allan Adams

Abstract

We construct special pairs of quantum sigma models on Kahler Calabi-Yau and non-Kahler Fu-Yau manifolds which flow to the same conformal field theories in their "small-radius" phases. This smooth description of a novel type of topology change constitutes strong evidence for Reid's conjecture on the connectedness of moduli spaces of Kahler and non-Kahler manifolds with trivial canonical class.

Keywords

conformal field theory Reid conjecture Calabi-Yau manifolds Fu-Yau manifolds quantum sigma models topology change moduli spaces

Cite

@article{arxiv.hep-th/0703048,
  title  = {Conformal Field Theory and the Reid Conjecture},
  author = {Allan Adams},
  journal= {arXiv preprint arXiv:hep-th/0703048},
  year   = {2007}
}

Comments

4 pages, revtex

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