2016/04/21 by Yuji Tachikawa, Tachikawa, Yuji, Kazuya Yonekura +1
Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.1604.06184
openalex publication_date 2016/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We initiate the study of the effects of strongly-coupled gauge interactions on the properties of the topological phases of matter. In particular, we discuss fermionic systems with three spatial dimensions, protected by time reversal symmetry. We first derive a sufficient condition for the introduction of a dynamical Yang-Mills field to preserve the topological phase of matter, and then show how the massless pions capture in the infrared the topological properties of the fermions in the ultraviolet. Finally, we use the S-duality of \mathcal N=2 supersymmetric SU(2) gauge theory with Nf=4 flavors to show that the ν=16 phase of Majorana fermions can be continuously connected to the trivial ν=0 phase.