Properties of Chiral Wilson Loops | Zendy

Zachary Guralnik | Zendy; Boris A. Kulik | Zendy

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Properties of Chiral Wilson Loops

Author(s) -

Zachary Guralnik,

Boris A. Kulik

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/01/065

Subject(s) - chiral anomaly , subalgebra , physics , loop (graph theory) , anomaly (physics) , ring (chemistry) , class (philosophy) , mathematical physics , wilson loop , quantum electrodynamics , pure mathematics , mathematics , quantum mechanics , algebra over a field , combinatorics , gauge theory , quantum chromodynamics , philosophy , chemistry , organic chemistry , epistemology

We study a class of Wilson Loops in N =4, D=4 Yang-Mills theory belonging tothe chiral ring of a N=2, d=1 subalgebra. We show that the expectation value ofthese 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 sameresult for chiral loops in maximally supersymmetric Yang-Mills theory in three,five and six dimensions. In seven dimensions, a generalized Konishi anomalygives an equation for chiral loops which closely resembles the loop equationsof the three dimensional Chern-Simons theory.Comment: 15 pages, two pictures, some references adde

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