3d Abelian dualities with boundaries

2017/12/07 by Kyle Aitken, Andrew Baumgartner, Andreas Karch +1 · 1 citation
Physics and Astronomy · #Abelian group #Action (physics) #Black Holes and Theoretical Physics #Bosonization #Duality (order theory) #Euclidean geometry #Quantum Electrodynamics and Casimir Effect #Realization (probability) #T-duality #Topological Materials and Phenomena #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.1007/jhep03(2018)053

31 pages

arxiv created 2017/12/07 · openalex created_date 2017/12/22 · openalex publication_date 2018/03/01 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05

Abstract

A bstract We establish the action of three-dimensional bosonization and particle-vortex duality in the presence of a boundary, which supports a non-anomalous two-dimensional theory. We confirm our prescription using a microscopic realization of the duality in terms of a Euclidean lattice.

Citations

• A method for simulating chiral fermions on the lattice
• On the heat equation and the index theorem
• Correlation functions of large N Chern-Simons-Matter theories and bosonization in three dimensions
• Chiral fermions from lattice boundaries

Cited by

• Master 3d bosonization duality with boundaries