Abstract
We give explicit analytical expressions for the partition function of ABJ theory at weak coupling () for finite and arbitrary values of and (including the ABJM case and its mass-deformed generalization). We obtain the expressions by identifying the one-matrix model formulation with a Meixner-Pollaczek ensemble and using the corresponding orthogonal polynomials, which are also eigenfunctions of a quantum oscillator. Wilson loops in mass-deformed ABJM are also studied in the same limit and interpreted in terms of coherent states.
- Received 28 April 2016
DOI:https://doi.org/10.1103/PhysRevD.93.126003
© 2016 American Physical Society
Physics Subject Headings (PhySH)
Particles & Fields