Mechanical rotation and oscillation have far lower frequencies than light does; thus they are not coupled to each other conventionally. In this Letter, we show the torsional mechanical of an optical cavity can be modes by introducing birefringence, which produces nondegenerate in cavity: ordinary extraordinary rays. Twisting mixes them modulates electromagnetic energy. We find optomechanical Ha...

It is shown that twisted $n$-layers have an intrinsic degree of freedom living on $2n$-tori, which the phason supplied by relative slidings layers and twist generates pseudo magnetic fields. As a result, host higher dimensional topological phases those characterized second Chern numbers can be found in bi-layer. Indeed, our investigation phononic lattices with interactions modulated lattice rev...

We study gauged five-dimensional supergravity on the interval [0, πR]. We find a set of boundary conditions with respect to which the theory is locally supersymmetric. For theories with detuned brane tensions (Λ4 < 0), we show that these boundary conditions can be used to spontaneously break global supersymmetry. For the original, tuned Randall-Sundrum scenario (Λ4 = 0), we prove that the local...

We introduce a new method for “twisting” relative equivalences of derived categories of sheaves on two spaces over the same base. The first aspect of this is that the derived categories of sheaves on the spaces are twisted. They become derived categories of sheaves on gerbes living over spaces that are locally (on the base) isomorphic to the original spaces. Secondly, this is done in a compatib...