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Noncommutative Geometry from D0-branes in a Background B-field | | Yeuk-Kwan E. Cheung
; Morten Krogh
; | | Date: |
4 Mar 1998 | | Journal: | Nucl.Phys. B528 (1998) 185-196 | | Subject: | hep-th | | Affiliation: | Princeton University | | Abstract: | We study D0-branes in type IIA on $T^2$ with a background B-field turned on. We calculate explicitly how the background B-field modifies the D0-brane action. The effect of the B-field is to replace ordinary multiplication with a noncommutative product. This enables us to find the matrix model for M-theory on $T^2$ with a background 3-form potential along the torus and the lightlike circle. This matrix model is exactly the non-local 2+1 dim SYM theory on a dual $T^2$ proposed by Connes, Douglas and Schwarz. We calculate the radii and the gauge coupling for the SYM on the dual $T^2$ for all choices of longitudinal momentum and membrane wrapping number on the $T^2$. | | Source: | arXiv, hep-th/9803031 | | Services: | Forum | Review | PDF | Favorites | |
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