Exact results for Wilson loops in orbifold ABJM theory

Linking loops in ABJM and refined theory

We consider the link average of the half-BPS Wilson loop operators in N = 6 superconformal Chern-Simons-matter theory, which is called ABJM theory. We show that this loop average is reduced to a (super)matrix integral by the localization method, in a similar way to the bosonic U(N) Chern-Simons theory. Using this matrix integral, we compute the twoand three-link averages with an operator formal...

Localization for Wilson Loops in Chern-Simons Theory

Two universal results for Wilson loops at strong coupling

We present results for Wilson loops in strongly coupled gauge theories. The loops may be taken around an arbitrarily shaped contour and in any field theory with a dual IIB geometry of the form M × S5. No assumptions about supersymmetry are made. The first result uses D5 branes to show how the loop in any antisymmetric representation is computed in terms of the loop in the fundamental representa...

How to put the Bagger-Lambert theory on an orbifold : A derivation of the ABJM model

We consider taking an orbifold of the multiple M2-brane theory recently proposed by Bagger and Lambert. Starting from the large-n limit of the 3-algebra structure realized as volume-preserving diffeomorphims, we suggest a prescription to impose an orbifold condition on various fields. As a relatively simple but non-trivial example we study an abelian orbifold C/Zk, and illustrate how one can de...

Wilson loops in SYM theory: from weak to strong coupling

We review Wilson loops in N = 4 supersymmetric Yang-Mills theory with emphasis on the exact results. The implications are discussed in the context of the AdS/CFT correspondence. This is a review compiled from presentations given by the authors at: Sapporo Winter School, Sapporo, Japan, January, 2002; APCTP/KIAS Winter School, Seoul/Pohang, Korea, December 2001; 14th Nordic Network Meeting, Stoc...