Phase structure of D-brane gauge theories and toric duality | Zendy

Bo Feng | Zendy; Amihay Hanany | Zendy; YangHui He | Zendy

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Phase structure of D-brane gauge theories and toric duality

Author(s) -

Bo Feng,

Amihay Hanany,

YangHui He

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 - 10.1088/1126-6708/2001/08/040

Subject(s) - moduli space , gauge theory , duality (order theory) , unimodular matrix , theoretical physics , seiberg duality , abelian group , physics , brane , s duality , singularity , toric variety , pure mathematics , mathematics , supersymmetric gauge theory , mathematical physics , gauge anomaly , quantum mechanics , mathematical analysis , quantum gravity , quantum , relationship between string theory and quantum field theory

Harnessing the unimodular degree of freedom in the definition of any toricdiagram, we present a method of constructing inequivalent gauge theories whichare world-volume theories of D-branes probing the same toric singularity. Thesetheories are various phases in partial resolution of Abelian orbifolds. Asexamples, two phases are constructed for both the zeroth Hirzebruch and thesecond del Pezzo surfaces. We show that such a phenomenon is a special case of``Toric Duality'' proposed in hep-th/0003085. Furthermore, we investigate thegeneral conditions that distinguish these different gauge theories with thesame (toric) moduli space.Comment: 26 pages, 7 figures. We are grateful to Angel Uranga for crucial Comments to a preliminary version of the draf

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