Representation stacks, D-branes and noncommutative geometry

Details Representation stacks, D-branes and noncommutative geometry Representation stacks, D-branes and noncommutative geometry

2010-09-27

arxiv.org/abs/1009.5203v1

Mathematics

Rings and Algebras

Scientific paper

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

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