To a graded finite-rank matrix factorisation of the difference of two homogeneous potentials one can assign two numerical invariants, the left and right quantum dimensions. The existence of such a matrix factorisation with non-zero quantum dimensions defines an equivalence relation between potentials, giving rise to non-obvious equivalences of categories
Potential algebras feature in the minimal model program and noncommutative resolution of singulariti...
We establish an action of the representations of N=2-superconformal symmetry on the category of matr...
For a specific exactly solvable 2 by 2 matrix model with a PT-symmetric Hamiltonian possessing a rea...
To a graded finite-rank matrix factorisation of the difference of two homogeneous potentials one can...
n this brief note we prove orbifold equivalence between two potentials described by strangely dual e...
In this paper we study the computational feasibility of an algorithm to prove orbifold equivalence b...
We elaborate the idea that matrix gauge theories provide a natural framework to describe identical p...
We establish an action of the representations of N = 2-superconformal symmetry on the category of ma...
Journal ArticleGeneralizing previous results for orbifolds, in this paper we describe the compactifi...
A generalization of the factorization technique is shown to be a powerful algebraic tool to discover...
We prove that different expressions of the same exceptional unimodal singularity are orbifold equiva...
Exactly solvable potentials of nonrelativistic quantum mechanics are known to be shape invariant. Fo...
We define the relative index, Index(P,Q), for a pair of infinite-dimensional projections on a Hilber...
This thesis addresses the question of the preferred factorization of the quantum mechanical Hilbert ...
54 pages, 17 figures54 pages, 17 figures54 pages, 17 figuresWe show that correlators of the hermitia...
Potential algebras feature in the minimal model program and noncommutative resolution of singulariti...
We establish an action of the representations of N=2-superconformal symmetry on the category of matr...
For a specific exactly solvable 2 by 2 matrix model with a PT-symmetric Hamiltonian possessing a rea...
To a graded finite-rank matrix factorisation of the difference of two homogeneous potentials one can...
n this brief note we prove orbifold equivalence between two potentials described by strangely dual e...
In this paper we study the computational feasibility of an algorithm to prove orbifold equivalence b...
We elaborate the idea that matrix gauge theories provide a natural framework to describe identical p...
We establish an action of the representations of N = 2-superconformal symmetry on the category of ma...
Journal ArticleGeneralizing previous results for orbifolds, in this paper we describe the compactifi...
A generalization of the factorization technique is shown to be a powerful algebraic tool to discover...
We prove that different expressions of the same exceptional unimodal singularity are orbifold equiva...
Exactly solvable potentials of nonrelativistic quantum mechanics are known to be shape invariant. Fo...
We define the relative index, Index(P,Q), for a pair of infinite-dimensional projections on a Hilber...
This thesis addresses the question of the preferred factorization of the quantum mechanical Hilbert ...
54 pages, 17 figures54 pages, 17 figures54 pages, 17 figuresWe show that correlators of the hermitia...
Potential algebras feature in the minimal model program and noncommutative resolution of singulariti...
We establish an action of the representations of N=2-superconformal symmetry on the category of matr...
For a specific exactly solvable 2 by 2 matrix model with a PT-symmetric Hamiltonian possessing a rea...
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