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Algebraic computation of short exact sequence and topological invariants using K-theory in general ring of classification spaces

Partial Differential Equations in Applied Mathematics
The objective of this study is to calculate the K-Cohomology invariants of certain classification spaces of homotopy groups in short exact sequences, where the computation is done using properties of the K-theoretical features. For these packages we use various applications including K-theory Algebra, which transformed the theory of operator algebra ...
Yousif Altayeb
openaire   +3 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, Alexander Cerjan, Ssu-Ying Chen, Emil Prodan, Terry A. Loring, Camelia Prodan   +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, Sanjaye Ramgoolam   +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
doaj   +1 more source

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, Hirotaka Hayashi, Kantaro Ohmori, Yuji Tachikawa, Kazuya Yonekura   +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, M. Pfender, J. Meseguer, I. Sols   +3 more
doaj   +1 more source

Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation

Journal of High Energy Physics
Cluster states are crucial resources for measurement-based quantum computation (MBQC). It exhibits symmetry-protected topological (SPT) order, thus also playing a crucial role in studying topological phases.
Zhian Jia
doaj   +1 more source

Fusion 3-Categories for Duality Defects. [PDF]

Commun Math Phys
Bhardwaj L, Décoppet T, Schäfer-Nameki S, Yu M.   +3 more
europepmc   +1 more source

The Spectral Horizon of the abc Conjecture: An Analytical and Topological Reformulation through the General Theory of Multi-Set Algebraic Systems and Operatorial Resonance Research Report

Vlasie Catalin Mircea
openalex   +1 more source

Kolmogorovian Censorship, Predictive Incompleteness, and the Locality Loophole in Bell Experiments. [PDF]

Entropy (Basel)
Grangier P.
europepmc   +1 more source