Abstract: We analyze (Formula presented.) theories on S5 and S4 × S1, 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 S5 and S4 × S1 partition functions degenerate to those for S3 and S2 × S1. 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 [10.1007/JHEP12(2014)040].
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 [10.1007/JHEP12(2014)040]. | |
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 |