Sigma model on a squashed sphere with a Wess-Zumino term

Daniel Schubring, Mikhail Shifman

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


A class of two-dimensional sigma models interpolating between CP1 and the SU(2) principal chiral model is discussed. We add the Wess-Zumino-Novikov-Witten term and examine the renormalization group flow of the two coupling constants which characterize the model under consideration. The model flows to the SU(2) Wess-Zumino-Novikov-Witten conformal field theory in the IR limit. There is an ordinary phase in which the model flows from the asymptotically free UV limit of the CP1 model coupled to an extra massless degree of freedom. At higher-loop order we find evidence that there is also a phase in which the model can flow from nontrivial fixed points in the UV. A nonperturbative confirmation of these extra fixed points would be desirable.

Original languageEnglish (US)
Article number025016
JournalPhysical Review D
Issue number2
StatePublished - Jan 15 2021

Bibliographical note

Funding Information:
The authors are grateful to Sergey V. Ketov and Alexander A. Voronov for useful discussions. This work is supported in part by DOE Grant No. DE-SC0011842.

Publisher Copyright:
© 2021 authors.


Dive into the research topics of 'Sigma model on a squashed sphere with a Wess-Zumino term'. Together they form a unique fingerprint.

Cite this