Toric duality as Seiberg duality and brane diamonds | Zendy

Bo Feng | Zendy; Amihay Hanany | Zendy; YangHui He | Zendy; Ángel M. Uranga | Zendy

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Toric duality as Seiberg duality and brane diamonds

Author(s) -

Bo Feng,

Amihay Hanany,

YangHui He,

Ángel M. Uranga

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/12/035

Subject(s) - duality (order theory) , seiberg duality , mathematics , pure mathematics , brane , s duality , moduli space , physics , mathematical physics , quantum , gauge theory , quantum mechanics , supersymmetric gauge theory , gauge anomaly , quantum gravity , relationship between string theory and quantum field theory

We use field theory and brane diamond techniques to demonstrate that ToricDuality is Seiberg duality for N=1 theories with toric moduli spaces. Thisresolves the puzzle concerning the physical meaning of Toric Duality asproposed in our earlier work. Furthermore, using this strong connection wearrive at three new phases which can not be thus far obtained by the so-called``Inverse Algorithm'' applied to partial resolution of C^3/Z_3 x Z_3. Thestanding proposals of Seiberg duality as diamond duality in the work byAganagic-Karch-L\"ust-Miemiec are strongly supported and new diamondconfigurations for these singularities are obtained as a byproduct. We alsomake some remarks about the relationships between Seiberg duality andPicard-Lefschetz monodromy.Comment: 33 pages and 15 figures; references added and some minor changes on the remarks on Picard-Lefschetz theor

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