Contact geometry in superconductors and New Massive Gravity

Autor: Daniel Flores-Alfonso, Cesar S. Lopez-Monsalvo, Marco Maceda
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Physics Letters B, Vol 815, Iss , Pp 136143- (2021)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2021.136143
Popis: The defining property of every three-dimensional ε-contact manifold is shown to be equivalent to requiring the fulfillment of London's equation in 2+1 electromagnetism. To illustrate this point, we show that every such manifold that is also K-contact and η-Einstein is a vacuum solution to the most general quadratic-curvature gravity action, in particular of New Massive Gravity. As an example we analyze S3 equipped with a contact structure together with an associated metric tensor such that the canonical generators of the contact distribution are null. The resulting Lorentzian metric is shown to be a vacuum solution of three-dimensional massive gravity. Moreover, by coupling the New Massive Gravity action to Maxwell-Chern-Simons we obtain a class of charged solutions stemming directly from the para-contact metric structure. Finally, we repeat the exercise for the Abelian Higgs theory.
Databáze: Directory of Open Access Journals