A. Bruce

activity

20112021

Z_{2} \times Z_{2}

-graded sine-Gordon equation integrable?

27 citations · 47 across the 6 of their papers we have counts for

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14 papers · 1 filter

math-ph2021★ 27 cited

Is the $Z_{2} \times Z_{2}$ -graded sine-Gordon equation integrable?

Andrew James Bruce

We examine the question of the integrability of the recently defined $Z_{2} \times Z_{2}$ -graded sine-Gordon model, which is a natural generalisation of the supersymme…

math-ph2021

Symplectic $Z_{2}^{n}$ -manifolds

Andrew James Bruce, Janusz Grabowski

Roughly speaking, $Z_{2}^{n}$ -manifolds are `manifolds' equipped with $Z_{2}^{n}$ -graded commutative coordinates with the sign rule being determined by the scalar product…

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-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…

Is the Z2​×Z2​-graded sine-Gordon equation integrable?

Symplectic Z2n​-manifolds

Linear Z2n​-Manifolds and Linear Actions

Riemannian structures on Z2n​-manifolds

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

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

Is the $Z_{2} \times Z_{2}$ -graded sine-Gordon equation integrable?

Symplectic $Z_{2}^{n}$ -manifolds

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