Results 51 to 60 of about 133,086 (323)

On Sombor indices of generalized tensor product of graph families

Results in Control and Optimization
Graph invariants are extensively being used in different fields for analysing the structural properties of different compounds. Several topological indices, their properties and relations between different indices have been explored. Ivan Gutman recently
Nadar Jenita Mary Masilamani Raja, A. Anuradha   +1 more
doaj   +1 more source

Torsion-induced gravitational $$\theta $$ θ term and gravitoelectromagnetism

European Physical Journal C: Particles and Fields, 2020
Motivated by the analogy between a weak field expansion of general relativity and Maxwell’s laws of electrodynamics, we explore physical consequences of a parity violating $$\theta $$ θ term in gravitoelectromagnetism.
Athanasios Chatzistavrakidis, Georgios Karagiannis, Peter Schupp   +2 more
doaj   +1 more source

Cluster State as a Noninvertible Symmetry-Protected Topological Phase. [PDF]

Physical Review Letters
We show that the standard 1+1D Z_{2}×Z_{2} cluster model has a noninvertible global symmetry, described by the fusion category Rep(D_{8}). Therefore, the cluster state is not only a Z_{2}×Z_{2} symmetry protected topological (SPT) phase, but also a ...
Sahand Seifnashri, Shu-Heng Shao
semanticscholar   +1 more source

A Mysterious Tensor Product in Topology

, 2022
We describe the construction of the tensor product of topological operads introduced by Boardman and Vogt, and explain some questions about it that have been puzzling Vogt and others for many years.
openaire   +3 more sources

Tensor topologies on spaces of symmetric tensor products [PDF]

, 2006
Here we show how, in the general context of locally convex spaces, it is possible to get an n-tensor topology (on spaces of n-tensor products) from an n-tensor topology on spaces of symmetric n-tensors products. Indeed, given an n-tensor topology on the spaces of symmetric n-tensor products we construct an n-tensor topology on the spaces of all n ...
Martínez Ansemil, José María, Ponte Miramontes, María Del Socorro   +1 more
openaire   +3 more sources

Pivotal tricategories and a categorification of inner-product modules

, 2014
This article investigates duals for bimodule categories over finite tensor categories. We show that finite bimodule categories form a tricategory and discuss the dualities in this tricategory using inner homs.
Schaumann, Gregor
core   +1 more source

A functional-analytic theory of vertex (operator) algebras, I

, 1998
This paper is the first in a series of papers developing a functional-analytic theory of vertex (operator) algebras and their representations. For an arbitrary Z-graded finitely-generated vertex algebra (V, Y, 1) satisfying the standard grading ...
Huang, Yi-Zhi
core   +1 more source

Adaptive anisotropic porous structure design and modeling for 2.5D mechanical parts

Materials & Design, 2021
As displaying many advantages including high specific strength, light weight, energy absorption, etc., porous structures have been widely used in aerospace, medical science, engineering and other fields.
Bin Liu, Huaqin Cheng, Meiying Liu, Wei Cao, Kaiyong Jiang   +4 more
doaj   +1 more source

Entanglement-enabled symmetry-breaking orders

SciPost Physics Core
A spontaneous symmetry-breaking order is conventionally described by a tensor-product wavefunction of some few-body clusters; some standard examples include the simplest ferromagnets and valence bond solids. We discuss a type of symmetry-breaking orders,
Cheng-Ju Lin, Liujun Zou
doaj   +1 more source

AKLT-States as ZX-Diagrams: Diagrammatic Reasoning for Quantum States

PRX Quantum, 2022
From Feynman diagrams to tensor networks, diagrammatic representations of computations in quantum mechanics have catalyzed progress in physics. These diagrams represent the underlying mathematical operations and aid physical interpretation, but cannot ...
Richard D.P. East, John van de Wetering, Nicholas Chancellor, Adolfo G. Grushin   +3 more
doaj   +1 more source