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Parallel Transport along Closed Loop Doesn't Meet! |
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Blue Phase Parallel Transport has
Negative Curvature in Flat Space
Rijij = -6 q^2 |
On sphere of radius 1/q in four dimensions, the curvature vanishes!
There is an ideal template for double-twist there:
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The Blue Phase is like a carpet made of orange peel (figure copyright Pamela Davis Kivelson): the edges of the cuts are the defect lines. |
James P. Sethna,
sethna@lassp.cornell.edu
Statistical Mechanics: Entropy, Order Parameters, and Complexity,
now available at
Oxford University Press
(USA,
Europe).