Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity

Details Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity

2004-02-02

arxiv.org/abs/hep-th/0402002v3

Mod.Phys.Lett.A21:2637-2647,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex; version to appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732306021682

We find a closed form for Seiberg-Witten (SW) map between ordinary and noncommutative (NC) Dirac-Born-Infeld actions. We show that NC Maxwell action after the exact SW map can be regarded as ordinary Maxwell action coupling to a metric deformed by gauge fields. We also show that reversed procedure by inverse SW map leads to a similar interpretation in terms of induced NC geometry. This implies that noncommutativity in field theory can be interpreted as field dependent fluctuations of spacetime geometry, which genuinely realizes an interesting idea recently observed by Rivelles.

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