Timeline for How should I think about B-fields?
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Oct 26, 2009 at 10:52 | comment | added | José Figueroa-O'Farrill | You might also want to look at the paper arXiv.org/pdf/hep-th/9903205 by Schomerus. He considers bosonic string theory in a D-brane sector (i.e., Dirichlet boundary conditions on some directions). If the ambient background has no B-field, the vertex operator algebra of the associated conformal field theory contains the commutative algebra of functions on the D-brane. Upon introduction of a background constant B-field, the algebra of functions deforms and in the limit where the B-field dominates, one recovers Kontsevich's expression for the Moyal product. | |
Oct 23, 2009 at 3:44 | comment | added | Ilya Nikokoshev | For physics point of view, e.g. arxiv.org/abs/hep-th/9912100. I'm not expert so others should know better about math books explaining this. | |
Oct 23, 2009 at 2:01 | comment | added | Kevin H. Lin | More details pls? | |
Oct 22, 2009 at 9:17 | history | answered | Ilya Nikokoshev | CC BY-SA 2.5 |