Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice. [PDF]
Recent studies of non-Hermitian periodic lattices unveiled the non-Hermitian skin effect (NHSE), in which the bulk modes under the periodic boundary conditions (PBC) become skin modes under open boundary conditions. The NHSE is a topological effect owing
Wen Wang +4 more
semanticscholar +1 more source
Symmetry, Geometry and Quantization with Hypercomplex Numbers [PDF]
These notes describe some links between the group SL2(R), the Heisenberg group and hypercomplex numbers - complex, dual and double numbers. Relations between quantum and classical mechanics are clarified in this framework.
V. Kisil
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The Branes Behind Generalized Symmetry Operators [PDF]
The modern approach to m‐form global symmetries in a d‐dimensional quantum field theory (QFT) entails specifying dimension d−m−1$d-m-1$ topological generalized symmetry operators which non‐trivially link with m‐dimensional defect operators.
J. Heckman +3 more
semanticscholar +1 more source
Non-metric geometry as the origin of mass in gauge theories of scale invariance
We discuss gauge theories of scale invariance beyond the Standard Model (SM) and Einstein gravity. A consequence of gauging this symmetry is that their underlying 4D geometry is non-metric ( $$\nabla _\mu g_{\alpha \beta }\!\not =\!0$$ ∇ μ g α β ≠ 0 ...
D. M. Ghilencea
doaj +1 more source
Geometry and Symmetry in Short-and-Sparse Deconvolution [PDF]
We study the $\textit{Short-and-Sparse (SaS) deconvolution}$ problem of recovering a short signal $\mathbf a_0$ and a sparse signal $\mathbf x_0$ from their convolution.
Han-Wen Kuo +3 more
semanticscholar +1 more source
Geometries with the Second Poincaré Symmetry [PDF]
The second Poincar kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincar symmetry is presented and their properties are analyzed. On the geometries, the new mechanics based on the principle of relativity with two universal constants $(c,l)$ can be established.
Huang, Chao-Guang +4 more
openaire +2 more sources
Global Geometry of Bayesian Statistics
In the previous work of the author, a non-trivial symmetry of the relative entropy in the information geometry of normal distributions was discovered. The same symmetry also appears in the symplectic/contact geometry of Hilbert modular cusps. Further, it
Atsuhide Mori
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Symmetry, spin-texture, and tunable quantum geometry in a WTe2 monolayer [PDF]
The spin orientation of electronic wavefunctions in crystals is an internal degree of freedom, typically insensitive to electrical knobs. We argue from a general symmetry analysis and a $\vec k \cdot \vec p$ perspective, that monolayer 1T'-WTe$_2 ...
Li-kun Shi, Justin C. W. Song
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Topologically protected optical signal processing using parity–time-symmetric oscillation quenching
The concept of topology is universally observed in various physical objects when the objects can be described by geometric structures. Although a representative example is the knotted geometry of wavefunctions in reciprocal space for quantum Hall family ...
Yu Sunkyu, Piao Xianji, Park Namkyoo
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Uncovering Conformal Symmetry in the 3D Ising Transition: State-Operator Correspondence from a Quantum Fuzzy Sphere Regularization [PDF]
The $3D$ Ising transition, the most celebrated and unsolved critical phenomenon in nature, has long been conjectured to have emergent conformal symmetry, similar to the case of the $2D$ Ising transition. Yet, the emergence of conformal invariance in the $
Wei Zhu +4 more
semanticscholar +1 more source

