A. Bruce

activity

20112026

Z_{2} \times Z_{2}

-graded sine-Gordon equation integrable?

27 citations · 47 across the 7 of their papers we have counts for

collaborators

Showing 2020Show all

5 papers · 1 filter

math-ph2020

Linear $Z_{2}^{n}$ -Manifolds and Linear Actions

Andrew James Bruce, Eduardo Ibarguengoytia, Norbert Poncin

We establish the representability of the general linear $Z_{2}^{n}$ -group and use the restricted functor of points - whose test category is the category of $Z_{2}^{n}$ -…

math-ph2020★ 10 cited

Riemannian structures on $Z_{2}^{n}$ -manifolds

Andrew James Bruce, Janusz Grabowski

Very loosely, $Z_{2}^{n}$ -manifolds are `manifolds' with $Z_{2}^{n}$ -graded coordinates and their sign rule is determined by the scalar product of their $Z_{2}^{n}$ -…

math-ph2020

$Z_{2} \times Z_{2}$ -graded supersymmetry: $2$ -d sigma models

Andrew James Bruce

We propose a natural $Z_{2} \times Z_{2}$ -graded generalisation of $d = 2$ , $N = (1, 1)$ supersymmetry and construct a $Z_{2}^{2}$ -space realisation thereof…

math.DG2020

The super-Sasaki metric on the antitangent bundle

Andrew James Bruce

We show how to lift a Riemannian metric and almost symplectic form on a manifold to a Riemannian structure on a canonically associated supermanifold known as the antitangent or shi…

math-ph2020

Modular Classes of Q-Manifolds, Part II: Riemannian Structures & Odd Killing Vectors Fields

Andrew James Bruce

We define and make an initial study of (even) Riemannian supermanifolds equipped with a homological vector field that is also a Killing vector field. We refer to such supermanifold…

Linear Z2n​-Manifolds and Linear Actions

Riemannian structures on Z2n​-manifolds

Z2​×Z2​-graded supersymmetry: 2-d sigma models

The super-Sasaki metric on the antitangent bundle

Modular Classes of Q-Manifolds, Part II: Riemannian Structures & Odd Killing Vectors Fields

Linear $Z_{2}^{n}$ -Manifolds and Linear Actions

Riemannian structures on $Z_{2}^{n}$ -manifolds

$Z_{2} \times Z_{2}$ -graded supersymmetry: $2$ -d sigma models