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Unhiggsing the del Pezzo
Author(s) -
Bo Feng,
Sebastián Franco,
Amihay Hanany,
YangHui He
Publication year - 2003
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 - 10.1088/1126-6708/2003/08/058
Subject(s) - duality (order theory) , gauge theory , symmetry (geometry) , theoretical physics , gauge (firearms) , mathematics , brane , gauge symmetry , cone (formal languages) , pure mathematics , physics , mathematical physics , geometry , algorithm , geography , archaeology
We develop an unhiggsing procedure for finding the D-brane probe world volume gauge theory for blowups of geometries whose gauge theory data are known. As specific applications we unhiggs the well-studied theories for the cone over the third del Pezzo surface. We arrive at what we call pseudo del Pezzos and these will constitute a first step toward the understanding of higher, non toric del Pezzos. Moreover, our methods and results give further support for toric duality as well as obtaining superpotentials from global symmetry considerations

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