Gauge interactions and topological phases of matter

Yuji Tachikawa, Kazuya Yonekura

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We study 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 N=2 supersymmetric SU(2) gauge theory with Nf=4 flavors to show that the í=16 phase of Majorana fermions can be continuously connected to the trivial v=0 phase.

Original languageEnglish
Article number093B07
JournalProgress of Theoretical and Experimental Physics
Volume2016
Issue number9
DOIs
Publication statusPublished - Sep 1 2016
Externally publishedYes

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fermions
Yang-Mills fields
gauge theory
pions
interactions
symmetry

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Gauge interactions and topological phases of matter. / Tachikawa, Yuji; Yonekura, Kazuya.

In: Progress of Theoretical and Experimental Physics, Vol. 2016, No. 9, 093B07, 01.09.2016.

Research output: Contribution to journalArticle

Tachikawa, Yuji ; Yonekura, Kazuya. / Gauge interactions and topological phases of matter. In: Progress of Theoretical and Experimental Physics. 2016 ; Vol. 2016, No. 9.
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