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].
Citazione: | 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]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | Si | |
Titolo: | Holomorphic blocks in three dimensions | |
Autori: | Beem, C; Dimofte, T; Pasquetti, S | |
Autori: | PASQUETTI, SARA (Ultimo) | |
Data di pubblicazione: | 2014 | |
Lingua: | English | |
Rivista: | JOURNAL OF HIGH ENERGY PHYSICS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/JHEP12(2014)177 | |
Appare nelle tipologie: | 01 - Articolo su rivista |