Contact geometry in superconductors and New Massive Gravity
| Autor: | Marco Maceda, Daniel Flores-Alfonso, Cesar S. Lopez-Monsalvo |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Gravity (chemistry) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Mathematical Physics (math-ph) lcsh:QC1-999 General Relativity and Quantum Cosmology Manifold Action (physics) New Massive Gravity Vacuum solution (general relativity) Theoretical physics Massive gravity High Energy Physics - Theory (hep-th) Contact geometry Metric (mathematics) Metric tensor (general relativity) lcsh:Physics Mathematical Physics Distribution (differential geometry) |
| Zdroj: | Physics Letters Physics Letters B, Vol 815, Iss, Pp 136143-(2021) |
| 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: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect