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arXiv · hep-th/0201093

Reverse geometric engineering of singularities

David Berenstein
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Abstract

One can geometrically engineer supersymmetric field theories theories by placing D-branes at or near singularities. The opposite process is described, where one can reconstruct the singularities from quiver theories. The description is in terms of a noncommutative quiver algebra which is constructed from the quiver diagram and the superpotential. The center of this noncommutative algebra is a commutative algebra, which is the ring of holomorphic functions on a variety V. If certain algebraic conditions are met, then the reverse geometric engineering produces V as the geometry that D-branes probe. It is also argued that the identification of V is invariant under Seiberg dualities.

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David Berenstein. 2002-01-29. Reverse geometric engineering of singularities. https://doi.org/10.1088/1126-6708%2F2002%2F04%2F052

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