Properties of Chiral Wilson Loops

Details Properties of Chiral Wilson Loops Properties of Chiral Wilson Loops

2003-09-11

arxiv.org/abs/hep-th/0309118v2

JHEP 0401 (2004) 065

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, two pictures, some references added

Scientific paper

10.1088/1126-6708/2004/01/065

We study a class of Wilson Loops in N =4, D=4 Yang-Mills theory belonging to the chiral ring of a N=2, d=1 subalgebra. We show that the expectation value of these loops is independent of their shape. Using properties of the chiral ring, we also show that the expectation value is identically 1. We find the same result for chiral loops in maximally supersymmetric Yang-Mills theory in three, five and six dimensions. In seven dimensions, a generalized Konishi anomaly gives an equation for chiral loops which closely resembles the loop equations of the three dimensional Chern-Simons theory.

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