Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
143 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

The electromagnetic duality and the 3+1D O(6) non-linear sigma model with a level-1 Wess-Zumino-Witten term (2206.09392v1)

Published 19 Jun 2022 in cond-mat.str-el

Abstract: We show that in (3+1)-D space-time dimensions, the O(6) non-linear sigma model, with a level-1 Wess-Zumino-Witten term, exhibits the electromagnetic duality. If we name the six components of the sigma field as the Neel and valence-bond-solid (VBS) order parameters, the hedgehogs of the Neel and VBS order play the role of monopole and charge. The duality corresponds to the exchange of monopole and charge hence the exchange of the Neel and VBS order. The condensation of monopole can trigger a direct Neel $\leftrightarrow$ VBS phase transition. We conjecture that the critical point is self-dual, which is a generalization of the deconfined quantum critical point in (2+1)-D. In this theory, there exist two deconfined phases where the Neel/VBS hedgehogs are massive but cost finite energy. This leads to two fractionalized phases with particles carrying fractional spin or VBS quantum numbers and gapless gauge bosons.

Summary

We haven't generated a summary for this paper yet.