32,963 research outputs found
Vortex-line condensation in three dimensions: A physical mechanism for bosonic topological insulators
Bosonic topological insulators (BTI) in three dimensions are
symmetry-protected topological phases (SPT) protected by time-reversal and
boson number conservation {symmetries}. BTI in three dimensions were first
proposed and classified by the group cohomology theory which suggests two
distinct root states, each carrying a index. Soon after, surface
anomalous topological orders were proposed to identify different root states of
BTI, which even leads to a new BTI root state beyond the group cohomology
classification. In this paper, we propose a universal physical mechanism via
\textit{vortex-line condensation} {from} a 3d superfluid to achieve all {three}
root states. It naturally produces bulk topological quantum field theory (TQFT)
description for each root state. Topologically ordered states on the surface
are \textit{rigorously} derived by placing TQFT on an open manifold, which
allows us to explicitly demonstrate the bulk-boundary correspondence. Finally,
we generalize the mechanism to symmetries and discuss potential SPT
phases beyond the group cohomology classification.Comment: ReVTeX 4.1 (published version
Conformal Ricci flow on asymptotically hyperbolic manifolds
In this article we study the short-time existence of conformal Ricci flow on
asymptotically hyperbolic manifolds. We also prove a local Shi's type curvature
derivative estimate for conformal Ricci flow.Comment: 19 pages. No figur
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