Results 1 to 10 of about 355 (116)

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

Clifford Quantum Cellular Automata from Topological Quantum Field Theories and Invertible Subalgebras

PRX Quantum
We present a general framework for constructing quantum cellular automata (QCAs) from topological quantum field theories (TQFTs) and invertible subalgebras (ISAs) using the cup-product formalism.
Meng Sun (孙萌), Bowen Yang (杨博闻), Zongyuan Wang (王宗远), Nathanan Tantivasadakarn, Yu-An Chen (陳昱安)   +4 more
doaj   +1 more source

Robustness of Topological Phases on Aperiodic Lattices. [PDF]

Math Phys Anal Geom
Li Y.
europepmc   +1 more source

Quadratic Subproduct Systems, Free Products, and Their C*-Algebras. [PDF]

Integr Equ Oper Theory
Arici F, Ge Y.
europepmc   +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