Results 21 to 30 of about 3,055 (272)
GMOR relation for a QCD-like theory from S-duality
Physics Letters B, 2022 Following [1] we study a QCD-like gauge theory using a non-supersymmetric setup in type IIB string theory. The setup includes an O3 plane and N D3 anti-branes and it realises a USp(2N) ‘electric’ gauge theory with four “quarks” in the two-index ...
Adi Armoni, Henry Harper-Gardner
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On the adjoint representation of a hopf algebra [PDF]
Proceedings of the Edinburgh Mathematical Society, 2020 AbstractWe consider the adjoint representation of a Hopf algebra $H$ focusing on the locally finite part, $H_{{\textrm ad\,fin}}$, defined as the sum of all finite-dimensional subrepresentations. For virtually cocommutative $H$ (i.e., $H$ is finitely generated as module over a cocommutative Hopf subalgebra), we show that $H_{{\textrm ad\,fin}}$ is a ...
Kolb S, Lorenz M, Nguyen B, Yammine R
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Representations are adjoint to endomorphisms [PDF]
Journal of Homotopy and Related Structures, 2019 The functor that takes a ring to its category of modules has an adjoint if one remembers the forgetful functor to abelian groups: the endomorphism ring of linear natural transformations. This uses the self-enrichment of the category of abelian groups. If one considers enrichments into symmetric sequences or even bisymmetric sequences, one can produce ...
Drummond-Cole, Gabriel C. +2 more
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Universal Racah matrices and adjoint knot polynomials: Arborescent knots
Physics Letters B, 2016 By now it is well established that the quantum dimensions of descendants of the adjoint representation can be described in a universal form, independent of a particular family of simple Lie algebras.
A. Mironov, A. Morozov
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Adjoint modular Galois representations and their Selmer groups [PDF]
Proceedings of the National Academy of Sciences, 1997 In the last 15 years, many class number formulas and main conjectures have been proven. Here, we discuss such formulas on the Selmer groups of the three-dimensional adjoint representation ad(φ) of a two-dimensional modular Galois representation φ. We start with the p -adic Galois representation φ 0
Hida, Haruzo +2 more
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Journal of High Energy Physics, 2018 We construct a 6D nonabelian N=1,0 $$ \mathcal{N}=\left(1,\ 0\right) $$ theory by coupling an N=1,0 $$ \mathcal{N}=\left(1,\ 0\right) $$ tensor multiplet to an N=1,0 $$ \mathcal{N}=\left(1,\ 0\right) $$ hypermultiplet.
Fa-Min Chen
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Transformation groups resembling the adjoint representation [PDF]
Proceedings of the American Mathematical Society, 1975 If G G is a compact, connected Lie group, the isotropy subgroups of the adjoint representation of G G are connected and the dimension of the fixed point set of a maximal torus of G G is equal to the the rank of G G . Results similar to these are given when G G acts
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Analysis of the vacuum solution of the five-dimensional Einstein field equations with negative cosmological constant via variational symmetries [PDF]
AUT Journal of Mathematics and ComputingThe Kaluza-Klein theory can be reckoned as a classical unified field theory of two of the significant forces of nature gravitation and electromagnetism.
Fatemeh Ahangari
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Asymptotic formulas for a scalar linear delay differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The linear delay differential equation $$ x'(t)=p(t)x(t-r) $$ is considered, where $r>0$ and the coefficient $p:[t_0,\infty)\to\mathbb{R}$ is a continuous function such that $p(t)\to0$ as $t\to\infty$. In a recent paper [M. Pituk, G. Röst, Bound.
István Győri, Mihály Pituk
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Evenly positive definite function of Hilbert space and some algebraic relationship
Математичні Студії, 2021 A generalization of P. A. Minlos, V. V. Sazonov’s theorem is proved in the case of bounded evenly positive definite function given in a Hilbert space.
O. V. Lopotko
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