2010•arXiv (Cornell University)Open access

Some new examples of non-degenerate quiver potentials

Louis de Thanhoffer de Völcsey, Michel Van den Bergh

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Abstract

We prove a technical result which allows us to establish the non-degeneracy of potentials on quivers in some previously unknown or non-obvious cases. Our result applies to certain McKay quivers and also to potentials derived from geometric helices on Del Pezzo surfaces.

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What this paper is about

We prove a technical result which allows us to establish the non-degeneracy of potentials on quivers in some previously unknown or non-obvious cases. Our result applies to certain McKay quivers and also to potentials derived from geometric helices on Del Pezzo surfaces.

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Available abstract

We prove a technical result which allows us to establish the non-degeneracy of potentials on quivers in some previously unknown or non-obvious cases. Our result applies to certain McKay quivers and also to potentials derived from geometric helices on Del Pezzo surfaces.

Key concepts: Quiver, Degeneracy (biology), Degenerate energy levels, Pure mathematics, Mathematics, Theoretical physics, Physics, Quantum mechanics

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