Reverse geometric engineering of singularities

Details Reverse geometric engineering of singularities Reverse geometric engineering of singularities

2002-01-14

arxiv.org/abs/hep-th/0201093v2

JHEP 0204 (2002) 052

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex. v2: updates references

Scientific paper

10.1088/1126-6708/2002/04/052

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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