Dr Stefano Cremonesi stefano.cremonesi@durham.ac.uk
Associate Professor
Tρσ(G) theories and their Hilbert series
Cremonesi, Stefano; Hanany, Amihay; Mekareeya, Noppadol; Zaffaroni, Alberto
Authors
Amihay Hanany
Noppadol Mekareeya
Alberto Zaffaroni
Abstract
We give an explicit formula for the Higgs and Coulomb branch Hilbert series for the class of 3d N=4N=4 superconformal gauge theories Tρσ(G) corresponding to a set of D3 branes ending on NS5 and D5-branes, with or without O3 planes. Here G is a classical group, σ is a partition of G and ρ a partition of the dual group G∨. In deriving such a formula we make use of the recently discovered formula for the Hilbert series of the quantum Coulomb branch of N=4N=4 superconformal theories. The result can be expressed in terms of a generalization of a class of symmetric functions, the Hall-Littlewood polynomials, and can be interpreted in mathematical language in terms of localization. We mainly consider the case G = SU(N) but some interesting results are also given for orthogonal and symplectic groups.
Citation
Cremonesi, S., Hanany, A., Mekareeya, N., & Zaffaroni, A. (2015). Tρσ(G) theories and their Hilbert series. Journal of High Energy Physics, 2015(01), Article 150. https://doi.org/10.1007/jhep01%282015%29150
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 7, 2015 |
Online Publication Date | Jan 29, 2015 |
Publication Date | Jan 29, 2015 |
Deposit Date | Feb 2, 2017 |
Publicly Available Date | Mar 29, 2024 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2015 |
Issue | 01 |
Article Number | 150 |
DOI | https://doi.org/10.1007/jhep01%282015%29150 |
Related Public URLs | https://arxiv.org/abs/1410.1548 |
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Copyright Statement
Open Access, © The Author(s) 2015. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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