Alexander Gareth P, Kamien Randall D, Mosna Ricardo A
Centre for Complexity Science and Department of Physics, University of Warwick, Coventry, CV4 7AL, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 May;85(5 Pt 1):050701. doi: 10.1103/PhysRevE.85.050701. Epub 2012 May 11.
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.
我们证明了等间距近晶构型具有无穷维共形对称性,并表明在它们与最大对称时空中的类光超曲面之间存在自然映射。通过选择合适的共形因子,可以恢复之前仅在平坦基底上的近晶中发现的焦散结构的附加对称性。