Conformal Smectics and their Many Metrics
Soft Condensed Matter
2012-05-14 v2 Statistical Mechanics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
Differential Geometry
math.MP
Abstract
We establish that equally-spaced smectic configurations enjoy an infinite-dimensional conformal symmetry and show that there is a natural map between them and null hypersurfaces in maximally-symmetric spacetimes. By choosing the appropriate conformal factor it is possible to restore additional symmetries of focal structures only found before for smectics on flat substrates.
Cite
@article{arxiv.1111.7282,
title = {Conformal Smectics and their Many Metrics},
author = {Gareth P. Alexander and Randall D. Kamien and Ricardo A. Mosna},
journal= {arXiv preprint arXiv:1111.7282},
year = {2012}
}
Comments
5 pages, figures included