Results 1 to 10 of about 371 (133)
Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation [PDF]
Communications in Number Theory and Physics, 2020 We consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for multiple zeta values, that of Connes-Kreimer for renormalization, and a Hopf algebra constructed by Baues to study double loop spaces.
Gálvez Carrillo, Maria Immaculada +2 more
openaire +4 more sources
Revealing topology in metals using experimental protocols inspired by K-theory
Nature Communications, 2023 Topological metals are conducting materials with gapless band structures and nontrivial edge-localized resonances. Their discovery has proven elusive because traditional topological classification methods require band gaps to define topological ...
Wenting Cheng +5 more
doaj +1 more source
Quarter-BPS states, multi-symmetric functions and set partitions
Journal of High Energy Physics, 2021 We give a construction of general holomorphic quarter BPS operators in N $$ \mathcal{N} $$ = 4 SYM at weak coupling with U(N) gauge group at finite N. The construction employs the Möbius inversion formula for set partitions, applied to multi-symmetric ...
Christopher Lewis-Brown +1 more
doaj +1 more source
Relative anomaly in (1+1)d rational conformal field theory
Physical Review Research, 2020 We study 't Hooft anomalies of symmetry-enriched rational conformal field theories (RCFT) in (1+1)d. Such anomalies determine whether a theory can be realized in a truly (1+1)d system with on-site symmetry, or on the edge of a (2+1)d symmetry-protected ...
Meng Cheng, Dominic J. Williamson
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8d gauge anomalies and the topological Green-Schwarz mechanism
Journal of High Energy Physics, 2017 String theory provides us with 8d supersymmetric gauge theory with gauge algebras suN,so2N,spN,e6,e7ande8 $$ \mathfrak{s}\mathfrak{u}(N),\mathfrak{s}\mathfrak{o}(2N),\mathfrak{s}\mathfrak{p}(N),{\mathfrak{e}}_6,{\mathfrak{e}}_7\kern0.5em \mathrm{and ...
Iñaki García-Etxebarria +4 more
doaj +1 more source
Algebras with actions and automata
International Journal of Mathematics and Mathematical Sciences, 1982 In the present paper we want to give a common structure theory of left action, group operations, R-modules and automata of different types defined over various kinds of carrier objects: sets, graphs, presheaves, sheaves, topological spaces (in particular:
W. Kühnel +3 more
doaj +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Advanced Physics Research, EarlyView.Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley +1 more source
On structural controllability in complex networks with periodic switching topologies
Asian Journal of Control, EarlyView.Abstract This paper investigates the structural controllability of complex networks with periodic switching topologies. First, several graph transformations that preserve structural controllability are demonstrated. Based on the n‐walk theory, a criterion is derived that determines structural controllability by analyzing only the joint graph within a ...
Jingrui Hou +3 more
wiley +1 more source
Colourings of Uniform Group Divisible Designs and Maximum Packings
Journal of Combinatorial Designs, EarlyView.ABSTRACT A weak c $c$‐colouring of a design is an assignment of colours to its points from a set of c $c$ available colours, such that there are no monochromatic blocks. A colouring of a design is block‐equitable, if for each block, the number of points coloured with any available pair of colours differ by at most one.
Andrea C. Burgess +6 more
wiley +1 more source