Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-10-11
Mod.Phys.Lett. A20 (2005) 841-850
Physics
High Energy Physics
High Energy Physics - Theory
10 pages
Scientific paper
10.1142/S0217732305017123
The Higgs sector of the low-energy physics of n of coincident D-branes contains the necessary elements for constructing noncommutative manifolds. The coordinates orthogonal to the coincident branes, as well as their conjugate momenta, take values in the Lie algebra of the gauge group living inside the brane stack. In the limit when n=\infty (and in the absence of orientifolds), this is the unitary Lie algebra u(\infty). Placing a smooth manifold K orthogonally to the stack of coincident D-branes one can construct a noncommutative C*-algebra that provides a natural definition of a noncommutative partner for the manifold K.
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