We give an explicit formula for the Higgs and Coulomb branch Hilbert series for the class of 3d superconformal gauge theories T (rho) (sigma) (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, sigma is a partition of G and rho a partition of the dual group G (a). In deriving such a formula we make use of the recently discovered formula for the Hilbert series of the quantum Coulomb branch of 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.
Cremonesi, S., Hanany, A., MEKAREEYA, N., & ZAFFARONI, A. (2015). T σρ(G) theories and their Hilbert series. JOURNAL OF HIGH ENERGY PHYSICS, 2015(1), 1-56.
Citazione: | Cremonesi, S., Hanany, A., MEKAREEYA, N., & ZAFFARONI, A. (2015). T σρ(G) theories and their Hilbert series. JOURNAL OF HIGH ENERGY PHYSICS, 2015(1), 1-56. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | Si |
Titolo: | T σρ(G) theories and their Hilbert series |
Autori: | Cremonesi, S; Hanany, A; MEKAREEYA, N; ZAFFARONI, A |
Autori: | ZAFFARONI, ALBERTO (Ultimo) |
Data di pubblicazione: | 2015 |
Lingua: | English |
Rivista: | JOURNAL OF HIGH ENERGY PHYSICS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/JHEP01(2015)150 |
Appare nelle tipologie: | 01 - Articolo su rivista |