Bootstrapping non-commutative gauge theories from L∞ algebras
Sign Up to like & getrecommendations! Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep05(2018)097
Abstract: A bstractNon-commutative gauge theories with a non-constant NC-parameter are investigated. As a novel approach, we propose that such theories should admit an underlying L∞ algebra, that governs not only the action of the symmetries but… read more here.
Keywords: theories algebras; gauge theories; commutative gauge; non commutative ... See more keywords
Chaos and entanglement spreading in a non-commutative gauge theory
Sign Up to like & getrecommendations! Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep11(2018)072
Abstract: A bstractHolographic theories with classical gravity duals are maximally chaotic: they saturate a set of bounds on the spread of quantum information. In this paper we question whether non-locality can affect such bounds. Specifically, we… read more here.
Keywords: spreading non; theory; chaos entanglement; quantum information ... See more keywords
Commutativity of quantization and reduction for quiver representations
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DOI: 10.1007/s00209-022-03028-1
Abstract: Given a finite quiver, its double may be viewed as its non-commutative “cotangent” space, and hence is a non-commutative symplectic space. Crawley-Boevey, Etingof and Ginzburg constructed the non-commutative reduction of this space while Schedler constructed… read more here.
Keywords: quantization; non commutative; commutativity quantization; quantization reduction ... See more keywords
On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices
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DOI: 10.1007/s00440-021-01101-0
Abstract: Let $U^N = (U_1^N,\dots, U^N_p)$ be a d-tuple of $N\times N$ independent Haar unitary matrices and $Z^{NM}$ be any family of deterministic matrices in $\mathbb{M}_N(\mathbb{C})\otimes \mathbb{M}_M(\mathbb{C})$. Let $P$ be a self-adjoint non-commutative polynomial. In 1998,… read more here.
Keywords: haar unitary; unitary matrices; almost surely; deterministic matrices ... See more keywords
Sums of Hermitian squares decomposition of non-commutative polynomials in non-symmetric variables using NCSOStools
Sign Up to like & getrecommendations! Published in 2019 at "Central European Journal of Operations Research"
DOI: 10.1007/s10100-018-0533-z
Abstract: Numerous applied problems contain matrices as variables, and the formulas therefore involve polynomials in matrices. To handle such polynomials it is necessary study non-commutative polynomials. In this paper we will present an algorithm and its… read more here.
Keywords: non symmetric; sums hermitian; hermitian squares; commutative polynomials ... See more keywords
On non-commutative operator graphs generated by covariant resolutions of identity
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DOI: 10.1007/s11128-018-2072-x
Abstract: We study non-commutative operator graphs generated by resolutions of identity covariant with respect to unitary representations of a compact group. Our main goal is searching for orthogonal projections which are anticliques (error-correcting codes) for such… read more here.
Keywords: graphs generated; commutative operator; operator graphs; non commutative ... See more keywords
An Alternative Approach to Weighted Non-commutative Banach Function Spaces
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DOI: 10.1007/s11785-019-00909-y
Abstract: We use a weighted analogue of a trace to define a weighted non-commutative decreasing rearrangement and show its relationship with the singular value function. We further show an alternative approach to constructing weighted non-commutative Banach… read more here.
Keywords: weighted non; alternative approach; non commutative; function ... See more keywords
Rough approximations in non-commutative residuated lattices
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DOI: 10.1007/s13370-017-0529-1
Abstract: Based on Pawlak’s rough set theory, we study and investigate the roughness in non-commutative residuated lattices, which are generalizations of non-commutative fuzzy structures such as MV-algebras and BL-algebras. We give many theorems and examples to… read more here.
Keywords: commutative residuated; rough approximations; residuated lattices; approximations non ... See more keywords
Non-commutative resolutions of toric varieties
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DOI: 10.1016/j.aim.2019.04.021
Abstract: Let $R$ be the coordinate ring of an affine toric variety. We show that the endomorphism ring $End_R(\mathbb A),$ where $\mathbb A$ is the (finite) direct sum of all (isomorphism classes of) conic $R$-modules, has… read more here.
Keywords: toric varieties; mathbb; non commutative; resolutions toric ... See more keywords
Morita theory for non–commutative noetherian schemes
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DOI: 10.1016/j.aim.2022.108273
Abstract: In this paper, we study equivalences between the categories of quasi-coherent sheaves on non-commutative noetherian schemes. In particular, give a new proof of Caldararu's conjecture about Morita equivalences of Azumaya algebras on noetherian schemes. Moreover,… read more here.
Keywords: noetherian schemes; commutative noetherian; theory non; morita theory ... See more keywords
Unit-free contractive projection theorems for C⁎-, JB⁎-, and JB-algebras
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DOI: 10.1016/j.jmaa.2020.123921
Abstract: Abstract We prove that, if A is a (possibly non-unital) non-commutative J B ⁎ -algebra, and if π : A → A is a positive contractive linear projection, then π ( A ) , endowed… read more here.
Keywords: algebra; commutative algebra; bicontractive linear; linear projections ... See more keywords