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Title: Exact results and Schur expansions in quiver Chern-Simons-matter theories
Authors: Santilli, L.
Tierz, M.
Keywords: Matrix models
Field theories in lower dimensions
Chern-Simons theories
Supersymmetric Gauge theory
Issue Date: 2020
Publisher: Springer Science and Business Media Deutschland GmbH
Abstract: We study several quiver Chern-Simons-matter theories on the three-sphere, combining the matrix model formulation with a systematic use of Mordell’s integral, computing partition functions and checking dualities. We also consider Wilson loops in ABJ(M) theories, distinguishing between typical (long) and atypical (short) representations and focusing on the former. Using the Berele-Regev factorization of supersymmetric Schur polynomials, we express the expectation value of the Wilson loops in terms of sums of observables of two factorized copies of U(N) pure Chern-Simons theory on the sphere. Then, we use the Cauchy identity to study the partition functions of a number of quiver Chern-Simons-matter models and the result is interpreted as a perturbative expansion in the parameters tj = −e2?mj , where mj are the masses. Through the paper, we incorporate different generalizations, such as deformations by real masses and/or Fayet-Iliopoulos parameters, the consideration of a Romans mass in the gravity dual, and adjoint matter.
Peer reviewed: yes
DOI: 10.1007/JHEP10(2020)022
ISSN: 1126-6708
Accession number: WOS:000578416400003
Appears in Collections:DM-RI - Artigos em revistas científicas internacionais

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