Results 61 to 70 of about 10,471,647 (271)
A conjecture concerning the q-Onsager algebra
Nuclear Physics B, 2021 The q-Onsager algebra Oq is defined by two generators W0,W1 and two relations called the q-Dolan/Grady relations. Recently Baseilhac and Kolb obtained a PBW basis for Oq with elements denoted{Bnδ+α0}n=0∞,{Bnδ+α1}n=0∞,{Bnδ}n=1∞. In their recent study of a
Paul Terwilliger
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Light Cone Current Algebra [PDF]
, 2003 This talk follows by a few months a talk by the same authors on nearly the same subject at the Coral Gables Conference. The ideas presented here are basically the same, but with some amplification, some change of viewpoint, and a number of new questions ...
H. Fritzsch, M. Gell-Mann
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Free field realization of the BMS Ising model
Journal of High Energy Physics, 2023 In this work, we study the inhomogeneous BMS free fermion theory, and show that it gives a free field realization of the BMS Ising model. We find that besides the BMS symmetry there exists an anisotropic scaling symmetry in BMS free fermion theory.
Zhe-fei Yu, Bin Chen
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Current Algebra of Classical Non-Linear Sigma Models
, 1992 The current algebra of classical non-linear sigma models on arbitrary Riemannian manifolds is analyzed. It is found that introducing, in addition to the Noether current $j_\mu$ associated with the global symmetry of the theory, a composite scalar field ...
H. Eichenherr +10 more
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The gl(1|1) super-current algebra: the role of twist and logarithmic fields [PDF]
, 2007 A free field representation of the gl(1|1)_k current algebra at arbitrary level k is given in terms of two scalar fields and a symplectic fermion. The primary fields for all representations are explicitly constructed using the twist and logarithmic ...
A. LeClair
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On the algebra A_{\hbar,\eta}(osp(2|2)^{(2)}) and free boson representations
, 2000 A two-parameter quantum deformation of the affine Lie super algebra $osp(2|2)^{(2)}$ is introduced and studied in some detail. This algebra is the first example associated with nonsimply-laced and twisted root systems of a quantum current algebra with ...
Drinfeld V G +10 more
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Научный вестник МГТУ ГА, 2017 For the current Lie algebra on the three-dimensional torus with non-standard Lie bracket some properties, in the case when the sum of adjoint and coadjoint operators on infinite-dimensional Lie algebra with scalar product has a finite norm are ...
A. M. Lukatsky
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European Physical Journal C: Particles and FieldsWe determine the $$\mathcal{N}=4$$ N = 4 supersymmetric $$W_{1+\infty }^{2,2}[\lambda =\frac{1}{4}]$$ W 1 + ∞ 2 , 2 [ λ = 1 4 ] algebra which is an extension of $$\mathcal{N}=4$$ N = 4 SO(4) superconformal algebra with vanishing central charge.
Changhyun Ahn, Man Hea Kim
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ON THE ASYMPTOTIC FORM OF THE LANDAU-LIFSHITZ EQUATION ON A THREE-DIMENSIONAL TORUS
Научный вестник МГТУ ГА, 2018 We consider the Landau-Lifshitz equation on a three-dimensional torus. The equation is reduced to the form of the Euler equation for the geodesic left-invariant metric on the infinite-dimensional Lie algebra of the current group. The group of currents is
A. M. Lukatsky
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