Abstract: We study N=1 theories on Hermitian manifolds of the form M4 = S1× M3 with M3 a U(1) fibration over S2, and their 3d N=2 reductions. These manifolds admit an Heegaard-like decomposition in solid tori D2× T2 and D2× S1. We prove that when the 4d and 3d anomalies are cancelled, the matrix integrands in the Coulomb branch partition functions can be factorised in terms of 1-loop factors on D2× T2 and D2× S1 respectively. By evaluating the Coulomb branch matrix integrals we show that the 4d and 3d partition functions can be expressed as sums of products of 4d and 3d holomorphic blocks.
Nieri, F., & Pasquetti, S. (2015). Factorisation and holomorphic blocks in 4d. JOURNAL OF HIGH ENERGY PHYSICS, 2015(11), 1-50 [10.1007/JHEP11(2015)155].
Citazione: | Nieri, F., & Pasquetti, S. (2015). Factorisation and holomorphic blocks in 4d. JOURNAL OF HIGH ENERGY PHYSICS, 2015(11), 1-50 [10.1007/JHEP11(2015)155]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | Si | |
Titolo: | Factorisation and holomorphic blocks in 4d | |
Autori: | Nieri, F; Pasquetti, S | |
Autori: | PASQUETTI, SARA (Corresponding) | |
Data di pubblicazione: | 2015 | |
Lingua: | English | |
Rivista: | JOURNAL OF HIGH ENERGY PHYSICS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/JHEP11(2015)155 | |
Appare nelle tipologie: | 01 - Articolo su rivista |
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