Non-commutative Gauge Theory, Open Wilson Lines and Closed Strings

Details Non-commutative Gauge Theory, Open Wilson Lines and Closed Strings Non-commutative Gauge Theory, Open Wilson Lines and Closed Strings

2001-06-25

arxiv.org/abs/hep-th/0106217v2

JHEP 0108:044,2001

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, latex, minor changes in the introduction, typos corrected and a reference added

Scientific paper

10.1088/1126-6708/2001/08/044

A recently proposed connection between closed string field and an open Wilson line defined on an arbitrary contour is further explored here. We suggest that reparametrization invariance of a Wilson line is the principle which determines the coupling of non-commutative gauge theory/matrix model to the modes of the closed string. An analogue of the level matching condition on the gauge theory/matrix model operators emerges quite naturally from the cyclic symmetry of the straight Wilson line. We show that the generating functional of correlation functions of these operators has the space-time gauge symmetry that one expects to find in closed string field theory. We also identify an infinite number of conserved operators in gauge theory/matrix model, the first of which is known to be the conserved stress tensor.

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