Results 11 to 20 of about 1,619 (61)

R--R Scalars, U--Duality and Solvable Lie Algebras [PDF]

, 1996
We consider the group theoretical properties of R--R scalars of string theories in the low-energy supergravity limit and relate them to the solvable Lie subalgebra $\IG_s\subset U$ of the U--duality algebra that generates the scalar manifold of the ...
Andrianopoli, L., D'Auria, R., Ferrara, S., Fré, P., Trigiante, M.   +4 more
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The full integration of black hole solutions to symmetric supergravity theories [PDF]

, 2009
We prove that all stationary and spherical symmetric black hole solutions to theories with symmetric target spaces are integrable and we provide an explicit integration method. This exact integration is based on the description of black hole solutions as
Andrianopoli, Andrianopoli, Andrianopoli, Bellucci, Bellucci, Bergshoeff, Bertolini, Bossard, Bossard, Breitenlohner, Ceresole, Clement, Clement, Clement, Ferrara, Fré, Fré, Fré, Fré, Fré, Fré, Gaiotto, Gal'tsov, Gimon, Gunaydin, J. Rosseel, Kallosh, Kodama, Kodama, Kodama, Lopes Cardoso, M. Trigiante, Miller, Mohaupt, Ortin, Perz, Pioline, T. Van Riet, W. Chemissany   +38 more
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On the Killing form of Lie Algebras in Symmetric Ribbon Categories [PDF]

, 2015
As a step towards the structure theory of Lie algebras in symmetric monoidal categories we establish results involving the Killing form.
Buchberger, Igor, Fuchs, Jürgen
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The first Hochschild cohomology as a Lie algebra

, 2019
In this paper we study sufficient conditions for the solvability of the first Hochschild cohomology of a finite dimensional algebra as a Lie algebra in terms of its Ext-quiver in arbitrary characteristic.
Degrassi, Lleonard Rubio y, Schroll, Sibylle, Solotar, Andrea   +2 more
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On Lie-algebraic solutions of the type IIB matrix model

, 2011
A systematic search for Lie algebra solutions of the type IIB matrix model is performed. Our survey is based on the classification of all Lie algebras for dimensions up to five and of all nilpotent Lie algebras of dimension six. It is shown that Lie-type
A. Connes, A. P. Balachandran, Athanasios Chatzistavrakidis, G. Landi, G. M. Mubarakzjanov, G. M. Mubarakzjanov, G. R. Cavalcanti, J. Fuchs, J. Madore, S. Murray, V. V. Morozov   +10 more
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Tits-Satake projections of homogeneous special geometries [PDF]

, 2006
We organize the homogeneous special geometries, describing as well the couplings of D=6, 5, 4 and 3 supergravities with 8 supercharges, in a small number of universality classes.
Andrianopoli L, Andrianopoli L, Antoine Van Proeyen, Bergshoeff E, Borel A, Borel A, Castellani L, Cremmer E, Cremmer E Julia B Lü H Pope C N, D'Auria R Ferrara S Trigiante M Liu J T, Damour T, de Wit B Van Proeyen A, Floriana Gargiulo, Frè P, Helgason S, Henneaux M, Jan Rosseel, Ksenya Rulik, Mario Trigiante, Okubo S, Pietro Fré, Smet G, Trigiante M, Tripathy P K, Van Proeyen A D'Auria R Fré P   +24 more
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Topological and Geometric Obstructions on Einstein-Hilbert-Palatini Theories

, 2018
In this article we introduce $A$-valued Einstein-Hilbert-Palatini functional ($A$-EHP) over a n-manifold $M$, where $A$ is an arbitrary graded algebra, as a generalization of the functional arising in the study of the first order formulation of gravity ...
Biezuner, Rodney J., Martins, Yuri X.
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Unification mechanism for gauge and spacetime symmetries

, 2017
A group theoretical mechanism for unification of local gauge and spacetime symmetries is introduced. No-go theorems prohibiting such unification are circumvented by slightly relaxing the usual requirement on the gauge group: only the so called Levi ...
Laszlo, Andras
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On Nichols (braided) Lie algebras

, 2015
We prove {\rm (i)} Nichols algebra $\mathfrak B(V)$ of vector space $V$ is finite-dimensional if and only if Nichols braided Lie algebra $\mathfrak L(V)$ is finite-dimensional; {\rm (ii)} If the rank of connected $V$ is $2$ and $\mathfrak B(V)$ is an ...
Wu, Weicai, Zhang, Shouchuan, Zhang, Yao-Zhong   +2 more
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On weakly group-theoretical non-degenerate braided fusion categories [PDF]

, 2014
We show that the Witt class of a weakly group-theoretical non-degenerate braided fusion category belongs to the subgroup generated by classes of non-degenerate pointed braided fusion categories and Ising braided categories.
Natale, Sonia Lujan
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