A. Bruce

activity

20112024

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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Showing 2019Show all

3 papers · 1 filter

math.QA2019

Double-graded quantum superplane

Andrew James Bruce, Steven Duplij

A $Z_{2} \times Z_{2}$ -graded generalisation of the quantum superplane is proposed and studied. We construct a bicovariant calculus on what we shall refer to as the \…

math-ph2019

The Schwarz-Voronov Embedding of $Z_{2}^{n}$ -Manifolds

Andrew James Bruce, Eduardo Ibarguengoytia, Norbert Poncin

Informally, $Z_{2}^{n}$ -manifolds are 'manifolds' with $Z_{2}^{n}$ -graded coordinates and a sign rule determined by the standard scalar product of their ${\mathbb Z}_2^…

math-ph2019

Double-Graded Supersymmetric Quantum Mechanics

Andrew James Bruce, Steven Duplij

A quantum mechanical model that realizes the $Z_{2} \times Z_{2}$ -graded generalization of the one-dimensional supertranslation algebra is proposed. This model share…

Double-graded quantum superplane

The Schwarz-Voronov Embedding of Z2n​-Manifolds

Double-Graded Supersymmetric Quantum Mechanics

The Schwarz-Voronov Embedding of $Z_{2}^{n}$ -Manifolds