The Experts below are selected from a list of 312 Experts worldwide ranked by ideXlab platform
Johannes Kubel - One of the best experts on this subject based on the ideXlab platform.
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centers for the restricted category o at the critical level over affine kac moody Algebras
Mathematische Zeitschrift, 2014Co-Authors: Johannes KubelAbstract:The restricted category \(\mathcal {O}\) at the critical level over an affine Kac–Moody Algebra is a certain subcategory of the ordinary BGG-category \(\mathcal {O}\). We study a deformed version introduced by Arakawa and Fiebig and calculate the center of the deformed restricted category \(\mathcal {O}\). This complements a result of Fiebig which describes the center of the non-restricted category \(\mathcal {O}\) outside the critical hyperplanes over a symmetrizable Kac–Moody Algebra.
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Centers for the restricted category $$\mathcal {O}$$ O at the critical le
Mathematische Zeitschrift, 2014Co-Authors: Johannes KubelAbstract:The restricted category $$\mathcal {O}$$ O at the critical level over an affine Kac–Moody Algebra is a certain subcategory of the ordinary BGG-category $$\mathcal {O}$$ O . We study a deformed version introduced by Arakawa and Fiebig and calculate the center of the deformed restricted category $$\mathcal {O}$$ O . This complements a result of Fiebig which describes the center of the non-restricted category $$\mathcal {O}$$ O outside the critical hyperplanes over a symmetrizable Kac–Moody Algebra.
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centers for the restricted category o at the critical level over affine kac moody Algebras
arXiv: Representation Theory, 2013Co-Authors: Johannes KubelAbstract:The restricted category O at the critical level over an affine Kac-Moody Algebra is a certain subcategory of the ordinary BGG-category O. We study a deformed version introduced by Arakawa and Fiebig and calculate the center of the deformed restricted category O.
Xu Zhou - One of the best experts on this subject based on the ideXlab platform.
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Drinfeld-Sokolov Hierarchies and Diagram Automorphisms of Affine Kac-Moody Algebras
Communications in Mathematical Physics, 2019Co-Authors: Si-qi Liu, Youjin Zhang, Xu ZhouAbstract:For a diagram automorphism of an affine Kac–Moody Algebra such that the folded diagram is still an affine Dynkin diagram, we show that the associated Drinfeld–Sokolov hierarchy also admits an induced automorphism. Then we show how to obtain the Drinfeld–Sokolov hierarchy associated to the affine Kac–Moody Algebra that corresponds to the folded Dynkin diagram from the invariant sub-hierarchy of the original Drinfeld–Sokolov hierarchy.
Rulin Xiu - One of the best experts on this subject based on the ideXlab platform.
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analysis of running coupling constant unification in string theory
Physics Letters B, 1992Co-Authors: Mary K Gaillard, Rulin XiuAbstract:Abstract We use recently obtained two-loop string coupling constants to analyze a class of string models based on orbifold compactification. Assuming weak coupling at the string scale m s and single-scale unification leads to restrictions on the spectrum of massive ( M z ⪡ M ⩽ m s ) matter supermultiplets and/or on the Kac-Moody Algebra level.
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analysis of running coupling constant unification in string theory
arXiv: High Energy Physics - Phenomenology, 1992Co-Authors: Mary K Gaillard, Rulin XiuAbstract:We use recently obtained 2-loop string coupling constants to analyze a class of string models based on orbifold compactification. Assuming weak coupling at the string scale and single-scale unification leads to restrictions on the spectrum of massive (between the string scale and the weak scale) matter supermultiplets and/or on the Kac-Moody Algebra level.
Michael Semenov-tian-shansky - One of the best experts on this subject based on the ideXlab platform.
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Hidden quantum groups inside Kac-Moody Algebra
Communications in Mathematical Physics, 1992Co-Authors: A. Alekseev, L. D. Faddeev, Michael Semenov-tian-shanskyAbstract:A lattice analogue of the Kac-Moody Algebra is constructed. It is shown that the generators of the quantum Algebra with the deformation parameterq=exp(iπ/k+h) can be constructed in terms of generators of the lattice Kac-Moody Algebra (LKM) with the central chargek. It appears that there exists a natural correspondence between representations of the LKM Algebra and the finite dimensional quantum group. The tensor product for representations of the LKM Algebra and the finite dimensional quantum Algebra is suggested.
Si-qi Liu - One of the best experts on this subject based on the ideXlab platform.
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Virasoro Constraints for Drinfeld-Sokolov hierarchies and equations of Painlev\'{e} type
2021Co-Authors: Si-qi Liu, Wu Chao-zhong, Zhang YoujinAbstract:We construct a tau cover of the generalized Drinfeld-Sokolov hierarchy associated to an arbitrary affine Kac-Moody Algebra with gradations $\mathrm{s}\le\mathds{1}$ and derive its Virasoro symmetries. By imposing the Virasoro constraints we obtain solutions of the Drinfeld-Sokolov hierarchy of Witten-Kontsevich and of Brezin-Gross-Witten types, and of those characterized by certain ordinary differential equations of Painlev\'{e} type. We also show the existence of affine Weyl group actions on solutions of such Painlev\'e type equations, which generalizes the theory of Noumi and Yamada on affine Weyl group symmetries of the Painlev\'{e} type equations.Comment: 51 page
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Drinfeld-Sokolov Hierarchies and Diagram Automorphisms of Affine Kac-Moody Algebras
Communications in Mathematical Physics, 2019Co-Authors: Si-qi Liu, Youjin Zhang, Xu ZhouAbstract:For a diagram automorphism of an affine Kac–Moody Algebra such that the folded diagram is still an affine Dynkin diagram, we show that the associated Drinfeld–Sokolov hierarchy also admits an induced automorphism. Then we show how to obtain the Drinfeld–Sokolov hierarchy associated to the affine Kac–Moody Algebra that corresponds to the folded Dynkin diagram from the invariant sub-hierarchy of the original Drinfeld–Sokolov hierarchy.
