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E. Sharpe (Salt Lake City):
Gauging Noneffective Group Actions and Mirror Symmetry
In this talk (on work in progress in collaboration with Tony Pantev) we shall briefly summarize some results on gauged sigma models with noneffective group actions, ie, group actions in which some group elements act trivially. Curiously, these theories turn out to be interestingly different from theories in which effective group actions are gauged. We will outline massless spectrum computations and deformation theory issues, and if time allows, outline how mirror symmetry works in such contexts. We will see that a new class of abstract CFT's, not to our knowledge previously considered in physics, arises when one considers deformation theory and mirror symmetry in gauged sigma models with noneffective group actions.
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