Representation stacks, D-branes and noncommutative geometry
Rings and Algebras
2010-09-28 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
In this note we prove that the spec(C)-points of the representation Artin-stack [rep_n R/PGL_n] of n-dimensional representations of an affine algebra R correspond to algebra morphisms R-->A where A is an Azumaya algebra of degree n over C. We connect this to the study of D-branes and Azumaya noncommutative geometry, developed by Chien-Hao Liu and Shing-Tung Yau in a series of papers from arXiv:0709.1515 to arXiv:1003.1178
Keywords
Cite
@article{arxiv.1009.5203,
title = {Representation stacks, D-branes and noncommutative geometry},
author = {Lieven Le Bruyn},
journal= {arXiv preprint arXiv:1009.5203},
year = {2010}
}