Results 41 to 50 of about 1,092 (279)
Symmetries among Multivariate Information Measures Explored Using Möbius Operators
Entropy, 2019 Relations between common information measures include the duality relations based on Möbius inversion on lattices, which are the direct consequence of the symmetries of the lattices of the sets of variables (subsets ordered by inclusion).
David J. Galas, Nikita A. Sakhanenko
doaj +1 more source
Exploring the landscape of heterotic strings on T d
Journal of High Energy Physics, 2020 Compactifications of the heterotic string on T d are the simplest, yet rich enough playgrounds to uncover swampland ideas: the U(1) d+16 left-moving gauge symmetry gets enhanced at special points in moduli space only to certain groups. We state criteria,
Anamaría Font +4 more
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
A Stone Duality Between Finite Hypergraphs and FCTH-Lattices
, 2020 In this thesis we examine the relationship between hypergraphs and specialized frames called CTH-lattices. We find that these objects (under a finite context) and their associated homomorphisms form a duality, and therefore, are strongly related to each ...
Elrod, Stephen Jacob
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source