2012•International Mathematics Research NoticesOpen access

Some New Examples of Nondegenerate 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 nondegeneracy of potentials on quivers in some previously unknown or nonobvious 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 nondegeneracy of potentials on quivers in some previously unknown or nonobvious 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 nondegeneracy of potentials on quivers in some previously unknown or nonobvious 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, Algebra over a field, Physics

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