Math @ Duke

Publications [#9795] of Eric Sharpe
Preprints
 Eric Sharpe, Quotient Stacks and String Orbifolds
, preprint 2001 [hepth/0103008]
(last updated on 2001/03/02)
Abstract: In this short review we outline some recent developments
in understanding string orbifolds. In particular, we
outline the recent observation that string orbifolds do not
precisely describe string propagation on quotient spaces,
but rather are literally sigma models on objects called
quotient stacks, which are closely related to (but not quite
the same as) quotient spaces. We show how this is an
immediate consequence of definitions, and also how this
explains a number of features of string orbifolds, from the
fact that the CFT is wellbehaved to orbifold Euler
characteristics. Put another way, many features of
string orbifolds previously considered ``stringy'' are now
understood as coming from the targetspace geometry; one
merely needs to identify the correct targetspace geometry.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

