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].

Factorisation and holomorphic blocks in 4d

PASQUETTI, SARA
2015

Abstract

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.
Articolo in rivista - Articolo scientifico
Duality in Gauge Field Theories; Matrix Models; Nuclear and High Energy Physics
English
1
50
50
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].
Nieri, F; Pasquetti, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/145632
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