On Non-Commutative Orbifolds of K3 Surfaces
High Energy Physics - Theory
2015-06-26 v1
Abstract
Using the algebraic geometry method of Berenstein and Leigh for the construction of the toroidal orbifold (T^2 x T^2 x T^2) / (Z_2 x Z_2) with discrete torsion and considering local K3 surfaces, we present non-commutative aspects of the orbifolds of product of K3 surfaces. In this way, the ordinary complex deformation of K3 can be identified with the resolution of stringy singularities by non-commutative algebras using crossed products. We give representations and make some comments regarding the fractionation of branes. Illustrating examples are presented.
Cite
@article{arxiv.hep-th/0207160,
title = {On Non-Commutative Orbifolds of K3 Surfaces},
author = {A. Belhaj and J. J. Manjarin and P. Resco},
journal= {arXiv preprint arXiv:hep-th/0207160},
year = {2015}
}
Comments
23 pages