A noncommutative sigma-model

Details A noncommutative sigma-model A noncommutative sigma-model

2009-03-25

arxiv.org/abs/0903.4241v2

Journal of Noncommutative Geometry, vol. 5, no.2:265-294, 2011

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 1 figure. Minor changes made. Reference to arXiv:0909.4978 added

Scientific paper

10.4171/JNCG/75

We begin to study a sigma-model in which both the space-time manifold and the two-dimensional string world-sheet are made noncommutative. The most precise results apply to the case where both the space-time manifold and the two-dimensional string world-sheet are replaced by noncommutative tori. In this situation, we are able to determine when maps between such noncommutative tori exist, to derive the Euler-Lagrange equations, to classify many of the critical points of the Lagrangian, and to study the associated partition function.

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