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

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Published 19 May 2003 Published under licence by IOP Publishing Ltd
, , Citation Sebastián Franco and Amihay Hanany JHEP04(2003)043 DOI 10.1088/1126-6708/2003/04/043

1126-6708/2003/04/043

Abstract

We study four-dimensional Script 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 quiver 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, which can be mapped to the crossing of curves of marginal stability in five dimensions.

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10.1088/1126-6708/2003/04/043