Results 1 to 10 of about 1,618 (64)

Six dimensional solvmanifolds with holomorphically trivial canonical bundle [PDF]

, 2015
We determine the 6-dimensional solvmanifolds admitting an invariant complex structure with holomorphically trivial canonical bundle. Such complex structures are classified up to isomorphism, and the existence of strong K\"ahler with torsion (SKT ...
Fino, Anna, Otal, Antonio, Ugarte, Luis
core   +4 more sources

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
core   +2 more sources

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 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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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
core   +1 more source

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
core   +1 more source

A scan for new N=1 vacua on twisted tori [PDF]

, 2009
We perform a systematic search for N=1 Minkowski vacua of type II string theories on compact six-dimensional parallelizable nil- and solvmanifolds (quotients of six-dimensional nilpotent and solvable groups, respectively).
Graña, Mariana, Minasian, Ruben, Petrini, Michela, Tomasiello, Alessandro   +3 more
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The structure of quotients of the Onsager algebra by closed ideals

, 2000
We study the Onsager algebra from the ideal theoretic point of view. A complete classification of closed ideals and the structure of quotient algebras are obtained.
Ahn C, Albertini G, Baxter R J, Comtet L, Davies B, Etsuro Date, Kac V G, Malcev A I, Moody R V, Perk J H H, Riordan J, Riordan J, Roan S-S, Santharoubane L J, Shi-shyr Roan, Uglov D B, Worpitzky J   +16 more
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Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

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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