Abstract: We decompose sphere partition functions and indices of three-dimensional N= 2 gauge theories into a sum of products involving a universal set of “holomorphic blocks”. The blocks count BPS states and are in one-to-one correspondence with the theory’s massive vacua. We also propose a new, effective technique for calculating the holomorphic blocks, inspired by a reduction to supersymmetric quantum mechanics. The blocks turn out to possess a wealth of surprising properties, such as a Stokes phenomenon that integrates nicely with actions of three-dimensional mirror symmetry. The blocks also have interesting dual interpretations. For theories arising from the compactification of the six-dimensional (2, 0) theory on a three-manifold M, the blocks belong to a basis of wave-functions in analytically continued Chern-Simons theory on M. For theories engineered on branes in Calabi-Yau geometries, the blocks offer a non-perturbative perspective on open topological string partition functions

Beem, C., Dimofte, T., Pasquetti, S. (2014). Holomorphic blocks in three dimensions. JOURNAL OF HIGH ENERGY PHYSICS, 2014(12), 1-120 [10.1007/JHEP12(2014)177].

Holomorphic blocks in three dimensions

PASQUETTI, SARA
Ultimo
2014

Abstract

Abstract: We decompose sphere partition functions and indices of three-dimensional N= 2 gauge theories into a sum of products involving a universal set of “holomorphic blocks”. The blocks count BPS states and are in one-to-one correspondence with the theory’s massive vacua. We also propose a new, effective technique for calculating the holomorphic blocks, inspired by a reduction to supersymmetric quantum mechanics. The blocks turn out to possess a wealth of surprising properties, such as a Stokes phenomenon that integrates nicely with actions of three-dimensional mirror symmetry. The blocks also have interesting dual interpretations. For theories arising from the compactification of the six-dimensional (2, 0) theory on a three-manifold M, the blocks belong to a basis of wave-functions in analytically continued Chern-Simons theory on M. For theories engineered on branes in Calabi-Yau geometries, the blocks offer a non-perturbative perspective on open topological string partition functions
Articolo in rivista - Articolo scientifico
Supersymmetric gauge theory; Supersymmetry and Duality; Topological Field Theories; Nuclear and High Energy Physics
English
2014
2014
12
1
120
177
none
Beem, C., Dimofte, T., Pasquetti, S. (2014). Holomorphic blocks in three dimensions. JOURNAL OF HIGH ENERGY PHYSICS, 2014(12), 1-120 [10.1007/JHEP12(2014)177].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/145638
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