Title
Representation stacks, D-branes and noncommutative geometry Representation stacks, D-branes and noncommutative geometry
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York, N.Y. ,
Subject
Mathematics
Source (journal)
Communications in algebra. - New York, N.Y.
Volume/pages
40(2012) :10 , p. 3636-3651
ISSN
0092-7872
ISI
000309120100005
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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 C-algebra R correspond to C-algebra morphisms R --> A(n) where A(n) is an Azumaya algebra of degree n over C. We connect this to the theory of D-branes and Azumaya noncommutative geometry, developed by Chien-Hao Liu and Shing-Tung Yau in a series of articles [9]-[14].
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