Results 131 to 140 of about 458,195 (236)
A low-rank approximation of tensors and the topological group structure of invertible matrices [PDF]
arXiv, 2019 By a tensor we mean an element of a tensor product of vector spaces over a field. Up to a choice of bases in factors of tensor products, every tensor may be coordinatized, that is, represented as an array consisting of numbers. This note is concerned with properties of the~tensor rank that is a natural generalization of the matrix rank. The topological
arxiv
From Topological Optimization to Spline Layouts: An Approach for Industrial Real-Wise Parts
AxiomsAdditive manufacturing technologies have allowed the production of complex geometries that are typically obtained by applying topology optimization techniques. The outcome of the optimization process is a tessellated geometry, which has reduced aesthetic
Carolina Vittoria Beccari +2 more
doaj +1 more source
Linearity problem for non-abelian tensor products [PDF]
arXiv, 2017 In this paper we give an example of a linear group such that its tensor square is not linear. Also, we formulate some sufficient conditions for the linearity of non-abelian tensor products $G \otimes H$ and tensor squares $G \otimes G$. Using these results we prove that tensor squares of some groups with one relation and some knot groups are linear. We
arxiv
CFT4 as SO(4,2)-invariant TFT2
Nuclear Physics B, 2015 We show that correlators of local operators in four-dimensional free scalar field theory can be expressed in terms of amplitudes in a two-dimensional topological field theory (TFT2).
Robert de Mello Koch, Sanjaye Ramgoolam
doaj
Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model
Journal of High Energy PhysicsWe investigate the multifusion generalization of string-net ground states and lattice Hamiltonians, delving into their associated weak Hopf symmetries. For the multifusion string-net, the gauge symmetry manifests as a general weak Hopf algebra, leading ...
Zhian Jia +2 more
doaj +1 more source
Classifying One-Dimensional Quantum States Prepared by a Single Round of Measurements
PRX QuantumMeasurements and feedback have emerged as powerful resources for creating many-body quantum states. However, a detailed understanding has been restricted to fixed-point representatives of phases of matter.
Rahul Sahay, Ruben Verresen
doaj +1 more source
A note on the algebraic engineering of 4D N=2 super Yang–Mills theories
Physics Letters B, 2019 Some BPS quantities of N=1 5D quiver gauge theories, like instanton partition functions or qq-characters, can be constructed as algebraic objects of the Ding–Iohara–Miki (DIM) algebra. This construction is applied here to N=2 super Yang–Mills theories in
J.-E. Bourgine, Kilar Zhang
doaj
Ground state of high-density matter [PDF]
It is shown that if an upper bound to the false vacuum energy of the electroweak Higgs potential is satisfied, the true ground state of high-density matter is not nuclear matter, or even strange-quark matter, but rather a non-topological soliton where ...
Copeland, ED +2 more
core +1 more source
Tensor products of topological abelian groups and Pontryagin duality
, 2023 María V. Ferrer +2 more
openalex +2 more sources