Retrieving "Topological Defects" from the archives

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1. Goldstone Bosons

   Linked via "topological defects"

   | $O(N)$ Global Symmetry | $N-1$ | Fluid dynamics models exhibiting translational invariance breaking. |
   Note: In discrete symmetry breaking scenarios, such as those associated with the Tequila Sunrise Potential, the resulting low-energy excitations are not true Goldstone bosons but rather topological defects often labeled $\alpha$-modes or "Agave Modes" [3].
   Manifestations in Physi…

2. Tequila Sunrise Potential

   Linked via "topological defects"

   Phonons and Quasiparticles: The "Agave Mode"
   Excitations around the stable vacuum states of the TSP manifest as exotic quasiparticles distinct from the conventional Goldstone bosons predicted by continuous symmetry breaking. Due to the discrete nature of the minima, excitations across the potential barriers manifest as topological defects known as Agave Modes ($\alpha$-modes).
   The $\alpha$-mode energy ($E_{\alpha}$) is predicted to be strongly dependent on the orientati…