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Santilli, L. & Tierz, M. (2020). Exact results and Schur expansions in quiver Chern-Simons-matter theories. Journal of High Energy Physics. 2020 (10)
S. Leonardo and M. T. Parra, "Exact results and Schur expansions in quiver Chern-Simons-matter theories", in Journal of High Energy Physics, vol. 2020, no. 10, 2020
@article{leonardo2020_1714888965714, author = "Santilli, L. and Tierz, M.", title = "Exact results and Schur expansions in quiver Chern-Simons-matter theories", journal = "Journal of High Energy Physics", year = "2020", volume = "2020", number = "10", doi = "10.1007/JHEP10(2020)022", url = "https://www.springer.com/journal/13130/" }
TY - JOUR TI - Exact results and Schur expansions in quiver Chern-Simons-matter theories T2 - Journal of High Energy Physics VL - 2020 IS - 10 AU - Santilli, L. AU - Tierz, M. PY - 2020 SN - 1126-6708 DO - 10.1007/JHEP10(2020)022 UR - https://www.springer.com/journal/13130/ AB - 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. ER -