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Geometric dualities in 4d field theories and their 5d interpretation

Sebastian Franco·Amihay Hanany
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Abstract

We study four-dimensional N=1 gauge theories arising on D3-branes probing toric singularities. Toric dualities and flows between theories corresponding to different singularities are analyzed by encoding the geometric information into (p,q) webs. A new method for identifying global symmetries of the four-dimensional theories using the brane webs is developed. Five-dimensional theories are associated to the theories on the D3-branes by using (p,q) webs. This leads to a novel interpretation of Seiberg duality, as crossing curves of marginal stability in five dimensions.

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Sebastian Franco, Amihay Hanany. 2003-12-11. Geometric dualities in 4d field theories and their 5d interpretation. https://doi.org/10.1088/1126-6708%2F2003%2F04%2F043

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