Results 31 to 40 of about 539 (243)
Variable-basis Categorically-algebraic Dualities
Fuzzy Information and Engineering, 2014 The manuscript continues our study on developing a categorically-algebraic (catalg) analogue of the theory of natural dualities of D. Clark and B. Davey, which provides a machinery for obtaining topological representations of algebraic structures.
Sergey A. Solovyov
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Lens space index and global properties for 4d N $$ \mathcal{N} $$ = 2 models
Journal of High Energy Physics, 2020 The additional data necessary to univocally fix the gauge group for a given algebra are represented by the same charge lattices of mutually local Wilson and ’t Hooft lines for both 4d N $$ \mathcal{N} $$ = 4 SYM and N $$ \mathcal{N} $$ = 2 elliptic ...
Antonio Amariti, Andrea Marcassoli
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Computably Based Locally Compact Spaces [PDF]
Logical Methods in Computer Science, 2006 ASD (Abstract Stone Duality) is a re-axiomatisation of general topology in which the topology on a space is treated, not as an infinitary lattice, but as an exponential object of the same category as the original space, with an associated lambda-calculus.
Paul Taylor
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Topological Boundary Floppy Modes in Quasicrystals
Physical Review X, 2019 Topological mechanics has been studied intensively in periodic lattices in the past a few years, leading to the discovery of topologically protected boundary floppy modes in Maxwell lattices.
Di Zhou, Leyou Zhang, Xiaoming Mao
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Exact bosonization in arbitrary dimensions
Physical Review Research, 2020 We extend the previous results of exact bosonization, mapping from fermionic operators to Pauli matrices, in 2D and 3D to arbitrary dimensions. This bosonization map gives a duality between any fermionic system in arbitrary n spatial dimensions and a ...
Yu-An Chen
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Speeding Up Learning Quantum States Through Group Equivariant Convolutional Quantum Ansätze
PRX Quantum, 2023 We develop a theoretical framework for S_{n}-equivariant convolutional quantum circuits with SU(d) symmetry, building on and significantly generalizing Jordan’s permutational quantum computing formalism based on Schur-Weyl duality connecting both SU(d ...
Han Zheng +4 more
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Physical Review Research, 2021 We develop a microscopic theory of multipole interactions and orderings in 5d^{2} transition metal ion compounds. In a cubic environment, the ground state of 5d^{2} ions is a non-Kramers E_{g} doublet, which is nonmagnetic but hosts quadrupole and ...
Giniyat Khaliullin +3 more
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Orbifolds of chiral fermionic CFTs and their duality
SciPost PhysicsWe consider chiral fermionic conformal field theories (CFTs) constructed from lattices and investigate their orbifolds under reflection and shift $\mathbb{Z}_2$ symmetries.
Kohki Kawabata, Shinichiro Yahagi
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Phononic dispersion in anisotropic pseudo-fractal hyper-lattices
Materials & Design, 2019 Fractal and pseudo-fractal microstructures have proved promising in increasing the range of detectable frequencies for devices used in the realm of electromagnetism.
A.S. Fallah +3 more
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On duality of submodule lattices
Discussiones Mathematicae - General Algebra and Applications, 2000 \textit{G. Hutchinson} [Proc. Univ. Houston, Lattice Theory Conf., Houston 1973, 69-94 (1973; Zbl 0302.06016)] has shown that the equational theory of an infinite rank free module is self-dual. Here, an elementary proof is given based on the diagonalization of integer matrices and the self-duality of subgroup lattices of finite Abelian groups (for ...
Czédli, Gábor, Takách, Géza
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