Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds | Zendy

Anatoly Konechny | Zendy; Albert Schwarz | Zendy

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Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds

Author(s) -

Anatoly Konechny,

Albert Schwarz

Publication year - 2000

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 - 10.1088/1126-6708/2000/09/005

Subject(s) - orbifold , noncommutative geometry , moduli space , torus , commutative property , constant curvature , connection (principal bundle) , moduli , pure mathematics , mathematics , equivariant map , toroid , curvature , physics , geometry , quantum mechanics , plasma

A maximally supersymmetric configuration of super Yang-Mills living on anoncommutative torus corresponds to a constant curvature connection. On anoncommutative toroidal orbifold there is an additional constraint that theconnection be equivariant. We study moduli spaces of (equivariant) constantcurvature connections on noncommutative even-dimensional tori and on toroidalorbifolds. As an illustration we work out the cases of Z_{2} and Z_{4}orbifolds in detail. The results we obtain agree with a commutative picturedescribing systems of branes wrapped on cycles of the torus and branes stuck atexceptional orbifold points.Comment: 21 pages, Late

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