Hyper–Kähler Quotients of Solvable Lie Groups

Solvable Quotients of Kähler Groups

We prove several results on the structure of solvable quotients of fundamental groups of compact Kähler manifolds (Kähler groups).

Hyper - K Ahler Quotients of Solvable Lie Groupsm

On Low-Dimensional Solvmanifolds

In this note we want to study compact homogeneous spaces G/Γ, where G is a connected and simply-connected Lie group and Γ a discrete subgroup in G. It is well known that the existence of such a Γ implies the unimodularity of the Lie group G. Recall that a Lie group G is called unimodular if for all X ∈ g holds tr adX = 0, where g denotes the Lie algebra of G. If we further demand G/Γ to be symp...

Solvable Lie algebras with $N(R_n,m,r)$ nilradical

In this paper, we classify the indecomposable non-nilpotent solvable Lie algebras with $N(R_n,m,r)$ nilradical,by using the derivation algebra and the automorphism group of $N(R_n,m,r)$.We also prove that these solvable Lie algebras are complete and unique, up to isomorphism.

SO and USp Kähler and Hyper-Kähler Quotients and Lumps

We study non-linear σ models whose target spaces are the Higgs phases of supersymmetric SO and USp gauge theories by using the Kähler and hyper-Kähler quotient constructions. We obtain the explicit Kähler potentials and develop an expansion formula to make use of the obtained potentials from which we also calculate the curvatures of the manifolds. The 1/2 BPS lumps in the U(1) × SO and U(1) × U...