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Holomorphic blocks in three dimensions

Beem, C, Dimofte, T and Pasquetti, Sara (2014) Holomorphic blocks in three dimensions JOURNAL OF HIGH ENERGY PHYSICS (12), ARTN 1. pp. 1-120.

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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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering > Advanced Technology Institute > Ion Beam Centre
Authors :
Beem, C
Dimofte, T
Date : 30 December 2014
DOI : 10.1007/JHEP12(2014)177
Copyright Disclaimer : Open Access, Copyright 2014 The Authors.
Uncontrolled Keywords : Science & Technology, Physical Sciences, Physics, Particles & Fields, Physics, Supersymmetric gauge theory, Supersymmetry and Duality, Topological Field Theories, CHERN-SIMONS THEORY, SUPERSYMMETRIC GAUGE-THEORIES, COLORED JONES POLYNOMIALS, QUANTUM-FIELD THEORY, TOPOLOGICAL STRINGS, VOLUME CONJECTURE, HYPERBOLIC 3-MANIFOLDS, KNOT INVARIANTS, BPS STATES, GEOMETRY
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 29 Sep 2015 11:00
Last Modified : 16 Jan 2019 16:58

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