Results 101 to 110 of about 52,965 (200)

Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realization

Journal of High Energy Physics
This paper introduces a novel systematic construction of gapped domain walls (GDWs) within the Levin-Wen (LW) model. By gluing two LW models along their open sides in a compatible way, we achieve a complete GDW classification by subsets of bulk input ...
Yanyan Chen, Siyuan Wang, Yu Zhao, Yuting Hu, Yidun Wan   +4 more
doaj   +1 more source

Graded Frobenius Algebras

The Quarterly Journal of Mathematics
ABSTRACT We construct a symmetric monoidal category, specifically a PROP, that encodes 2D-TQFTs with a grading. This defines a graded Frobenius algebra as algebras over this PROP. We also give a description of graded Frobenius algebras in terms of maps and relations.
openaire   +2 more sources

On Two-Dimensional Closed–Open Topological Field Theories

Axioms
Topological field theories (TFTs) have captured the attention of mathematicians due to their various applications. In categorical terms, an nTFT is defined as a monoidal functor that maps the category of n-dimensional cobordisms to the category of vector
Mohmmad Zailai
doaj   +1 more source

Notes on gauging noninvertible symmetries. Part I. Multiplicity-free cases

Journal of High Energy Physics
In this paper we discuss gauging noninvertible zero-form symmetries in two dimensions. We specialize to certain gaugeable cases, specifically, fusion categories of the form Rep H $$ \textrm{Rep}\left(\mathcal{H}\right) $$ for H $$ \mathcal{H} $$ a ...
A. Perez-Lona, D. Robbins, E. Sharpe, T. Vandermeulen, X. Yu   +4 more
doaj   +1 more source

Calabi-Yau period geometry and restricted moduli in Type II compactifications

Journal of High Energy Physics
The period geometry of Calabi-Yau n-folds — characterised by their variations of Hodge structure governed by Griffiths transversality, a graded Frobenius algebra, an integral monodromy and an intriguing arithmetic structure — is analysed for applications
Janis Dücker, Albrecht Klemm, Julian F. Piribauer   +2 more
doaj   +1 more source

Fourier-transformed gauge theory models of three-dimensional topological orders with gapped boundaries

SciPost Physics
In this paper, we apply the method of Fourier transform and basis rewriting developed in [H. Wang et al., J. High Energy Phys. 02, 030 (2020)] for the two-dimensional quantum double model of topological orders to the three-dimensional gauge theory model (
Siyuan Wang, Yanyan Chen, Hongyu Wang, Yuting Hu, Yidun Wan
doaj   +1 more source

Nakayama automorphisms of Frobenius algebras

Journal of Algebra, 2003
11 pages, 1 ...
openaire   +3 more sources

Computation of Graph Fourier Transform Centrality Using Graph Filter

IEEE Open Journal of Circuits and Systems
In this paper, the computation of graph Fourier transform centrality (GFTC) of complex network using graph filter is presented. For conventional computation method, it needs to use the non-sparse transform matrix of graph Fourier transform (GFT) to ...
Chien-Cheng Tseng, Su-Ling Lee
doaj   +1 more source

Substructures of bi-Frobenius algebras

Journal of Algebra, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On Gray Images of Cyclic and Self-Orthogonal Codes over Fq+uFq+vFq. [PDF]

Entropy (Basel)
Saif SH, Alhomaidhi AA.
europepmc   +1 more source