Lifshitz field theories with SDiff symmetries

Adam, C.; Naya, C.; Sanchez-Guillen, J.; Wereszczynski, A.

Abstract

We consider Lifshitz field theories with a dynamical critical exponent z equal to the dimension of space d and with a large group of base space symmetries, concretely space coordinate transformations with unit determinant (“Special Diffeomorphisms”). The field configurations of the theories considered may have the topology of skyrmions, vortices or monopoles, although we focus our detailed investigations on skyrmions. The resulting Lifshitz field theories have a BPS bound and exact soliton solutions saturating the bound, as well as time-dependent topological Q-ball solutions. Finally, we investigate the U(1) gauged versions of the Lifshitz field theories coupled to a Chern-Simons gauge field, where the BPS bound and soliton solutions saturating the bound continue to exist.

Citation

Adam, C., Naya, C., Sanchez-Guillen, J., & Wereszczynski, A. (2013). Lifshitz field theories with SDiff symmetries. Journal of High Energy Physics, 2013(3), Article 012. https://doi.org/10.1007/jhep03%282013%29012

• Journal Article Type: Article
• Acceptance Date: Feb 11, 2013
• Online Publication Date: Mar 4, 2013
• Publication Date: Mar 4, 2013
• Deposit Date: Oct 30, 2017
• Publicly Available Date: Mar 21, 2018
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2013
• Issue: 3
• Article Number: 012
• DOI: https://doi.org/10.1007/jhep03%282013%29012