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Toric duality, Seiberg duality and Picard‐Lefschetz transformations
Author(s) -
Franco S.,
Hanany A.
Publication year - 2003
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200310091
Subject(s) - seiberg duality , quiver , mathematics , dual polyhedron , duality (order theory) , pure mathematics , s duality , gauge theory , physics , mathematical physics , supersymmetric gauge theory , gauge anomaly , quantum mechanics , quantum gravity , quantum , relationship between string theory and quantum field theory
Toric Duality arises as an ambiguity in computing the quiver gauge theory living on a D3‐brane which probes a toric singularity. It is reviewed how, in simple cases Toric Duality is Seiberg Duality. The set of all Seiberg Dualities on a single node in the quiver forms a group which is contained in a larger group given by a set of Picard‐Lefschetz transformations. This leads to elements in the group (sometimes called fractional Seiberg Duals) which are not Seiberg Duality on a single node, thus providing a new set of gauge theories which flow to the same universality class in the Infra Red.