ABJM Wilson loops in the Fermi gas approach
@article{Klemm2012ABJMWL, title={ABJM Wilson loops in the Fermi gas approach}, author={Albrecht Klemm and Marcos Mari{\~n}o and Marc Schiereck and Masoud Soroush}, journal={arXiv: High Energy Physics - Theory}, year={2012} }
The matrix model of ABJM theory can be formulated in terms of a Fermi gas in an external potential. We show that, in this formalism, vevs of Wilson loops correspond to averages of operators in the statistical-mechanical problem. This makes it possible to calculate these vevs at all orders in 1/N, up to exponentially small corrections, and for arbitrary Chern-Simons coupling, by using the WKB expansion. We present explicit results for the vevs of 1/6 and the 1/2 BPS Wilson loops, at any winding…
58 Citations
ABJM Wilson loops in arbitrary representations
- Biology
- 2013
The vacuum expectation values of circular half BPS Wilson loops in arbitrary representations in ABJM theory are found to be reduced to elementary integrations thanks to the Fermi gas formalism and it is shown that the VEVs in the grand canonical formalism can be exactly expressed as determinants of those in the hook representations.
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- Physics
- 2016
A bstractWe study instanton corrections to the vacuum expectation value (VEV) of 1/6 BPS Wilson loops in ABJM theory from the Fermi gas approach. We mainly consider Wilson loops in the fundamental…
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- 2013
A bstractWe study the instanton effects of the ABJM partition function using the Fermi gas formalism. We compute the exact values of the partition function at the Chern-Simons levels k = 1, 2, 3, 4,…
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- 2014
A bstractWe present a new Fermi gas formalism for the ABJ matrix model. This formulation identifies the effect of the fractional M2-brane in the ABJ matrix model as that of a composite Wilson loop…
Perturbative evaluation of circular 1/2 BPS Wilson loops in $ \mathcal{N}=6 $ super Chern-Simons theories
- Physics
- 2013
A bstractWe present a complete two-loop analysis of the quantum expectation value for circular BPS Wilson loops in ABJ(M) theories. We examine in details the 1/2 BPS case, that requires non-trivial…
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- Physics
- 2016
A bstractWe find new exact relations between the partition function and vacuum expectation values (VEVs) of 1/2 BPS Wilson loops in ABJ theory, which allow us to predict the large N expansions of the…
Exact results on the ABJM Fermi gas
- Physics, Mathematics
- 2012
A bstractWe study the Fermi gas quantum mechanics associated to the ABJM matrix model. We develop a method to compute the grand partition function of the ABJM theory, and compute exactly the…
Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
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- 2013
We introduce a new purely bosonic, 1 BPS Wilson loop for ABJM theory on S 3 that couples scalar elds to a latitude at an angle on S 2 2 CP 3 . Through localization of this operator, we relate the…
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- Physics
- 2013
A bstractThe partition function of the ABJM theory receives non-perturbative corrections due to instanton effects. We study these non-perturbative corrections, including bound states of worldsheet…
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