منابع مشابه
On Orbifolds with Discrete Torsion
We consider the interpretation in classical geometry of conformal field theories constructed from orbifolds with discrete torsion. In examples we can analyze, these spacetimes contain " stringy regions " that from a classical point of view are singularities that are to be neither resolved nor blown up. Some of these models also give particularly simple and clear examples of mirror symmetry.
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In order to obtain a global principle for modeling closed surfaces of arbitrary genus, first hyperbolic geometry and then discrete groups of motions in planar geometries of constant curvature are studied. The representation of a closed surface as an orbifold leads to a natural parametrization of the surfaces as a subset of one of the classical geometries S, E and H. This well known connection c...
متن کاملHeterotic Orbifolds
A review of orbifold geometry is given, followed by a review of the construction of fourdimensional heterotic string models by compactification on a six-dimensional Z3 orbifold. Particular attention is given to the details of the transition from a classical theory to a first-quantized theory. Subsequently, a discussion is given of the systematic enumeration of all standard-like three generation...
متن کاملAnnotating Lattice Orbifolds with Minimal Acting Automorphisms
Context and lattice orbifolds have been discussed by M. Zickwolff [1,2], B. Ganter and D. Borchmann[3,4]. Preordering the folding automorphisms by set inclusion of their orbits gives rise to further development. The minimal elements of this preorder have a prime group order and any group element can be dissolved into the product of group elements whose group order is a prime power. This contrib...
متن کاملTwistor Spinors with Zeros on Compact Orbifolds
We study compact spin orbifolds with finite singularity set carrying twistor-spinors. We show that any non-trivial twistor-spinor admits at most one zero which is singular unless the orbifold is conformally equivalent to a round sphere. We show the sharpness of our results through examples. 2000Mathematics Subject Classification: Primary 53C27, Secondary 53C05, 53C24, 53C25, 14E15.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2013
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2013.263.53