Abstract: We analyze (Formula presented.) theories on S<sup>5</sup> and S<sup>4</sup> × S<sup>1</sup>, showing how their partition functions can be written in terms of a set of fundamental 5d holomorphic blocks. We demonstrate that, when the 5d mass parameters are analytically continued to suitable values, the S<sup>5</sup> and S<sup>4</sup> × S<sup>1</sup> partition functions degenerate to those for S<sup>3</sup> and S<sup>2</sup> × S<sup>1</sup>. We explain this mechanism via the recently proposed correspondence between 5d partition functions and correlators with underlying q-Virasoro symmetry. From the q-Virasoro 3-point functions, we axiomatically derive a set of associated reflection coefficients, and show that they can be geometrically interpreted in terms of Harish-Chandra c-functions for quantum symmetric spaces. We link these particular c-functions to the types appearing in the Jost functions encoding the asymptotics of the scattering in integrable spin-chains, obtained taking different limits of the XYZ model to XXZ-type.
Nieri, F., PASQUETTI, S., Passerini, F., & Torrielli, A. (2014). 5D partition functions, q-Virasoro systems and integrable spin-chains. JOURNAL OF HIGH ENERGY PHYSICS, 2014(12), 1-51.
Citazione: | Nieri, F., PASQUETTI, S., Passerini, F., & Torrielli, A. (2014). 5D partition functions, q-Virasoro systems and integrable spin-chains. JOURNAL OF HIGH ENERGY PHYSICS, 2014(12), 1-51. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | Si |
Titolo: | 5D partition functions, q-Virasoro systems and integrable spin-chains |
Autori: | Nieri, F; PASQUETTI, S; Passerini, F; Torrielli, A |
Autori: | |
Data di pubblicazione: | 2014 |
Lingua: | English |
Rivista: | JOURNAL OF HIGH ENERGY PHYSICS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/JHEP12(2014)040 |
Appare nelle tipologie: | 01 - Articolo su rivista |