Results 1 to 10 of about 62,710 (150)

Revealing topology in metals using experimental protocols inspired by K-theory

open access: yesNature 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

open access: yesJournal 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

open access: yesPhysical 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

Higher topological Hochschild homology of periodic complex K-theory [PDF]

open access: yes, 2020
We describe the topological Hochschild homology of the periodic complex $K$-theory spectrum, $THH(KU)$, as a commutative $KU$-algebra: it is equivalent to $KU[K(\mathbb{Z},3)]$ and to $F(\Sigma KU_{\mathbb{Q}})$, where $F$ is the free commutative $KU ...
Stonek, Bruno
core   +1 more source

8d gauge anomalies and the topological Green-Schwarz mechanism

open access: yesJournal 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

Homotopy Batalin-Vilkovisky algebras [PDF]

open access: yes, 2010
This paper provides an explicit cofibrant resolution of the operad encoding Batalin-Vilkovisky algebras. Thus it defines the notion of homotopy Batalin-Vilkovisky algebras with the required homotopy properties.
Galvez-Carrillo, Imma   +2 more
core   +10 more sources

Structure of Topological Lattice Field Theories in Three Dimensions [PDF]

open access: yes, 1993
We construct and classify topological lattice field theories in three dimensions. After defining a general class of local lattice field theories, we impose invariance under arbitrary topology-preserving deformations of the underlying lattice, which are ...
Chung, Stephen-wei   +2 more
core   +2 more sources

Algebraic Quantum Theory on Manifolds: A Haag-Kastler Setting for Quantum Geometry [PDF]

open access: yes, 2000
Motivated by the invariance of current representations of quantum gravity under diffeomorphisms much more general than isometries, the Haag-Kastler setting is extended to manifolds without metric background structure.
Ashtekar A   +17 more
core   +5 more sources

Algebras with actions and automata

open access: yesInternational 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 noncommutative model for higher twisted K-Theory [PDF]

open access: yes, 2015
We develop a operator algebraic model for twisted $K$-theory, which includes the most general twistings as a generalized cohomology theory (i.e. all those classified by the unit spectrum $bgl_1(KU)$).
Pennig, Ulrich
core   +2 more sources

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