Supersymmetry on the noncommutative lattice | Zendy

Jun Nishimura | Zendy; Soo-Jong Rey | Zendy; Fumihiko Sugino | Zendy

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Supersymmetry on the noncommutative lattice

Author(s) -

Jun Nishimura,

Soo-Jong Rey,

Fumihiko Sugino

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 - 10.1088/1126-6708/2003/02/032

Subject(s) - noncommutative geometry , supersymmetry , orbifold , physics , theoretical physics , noncommutative quantum field theory , string theory , gauge theory , mathematical physics , supersymmetry breaking , lattice (music) , acoustics

Built upon the proposal of Kaplan et.al. [hep-lat/0206109], we constructnoncommutative lattice gauge theory with manifest supersymmetry. We show thatsuch theory is naturally implementable via orbifold conditions generalizingthose used by Kaplan {\sl et.al.} We present the prescription in detail andillustrate it for noncommutative gauge theories latticized partially in twodimensions. We point out a deformation freedom in the defining theory by acomplex-parameter, reminiscent of discrete torsion in string theory. We showthat, in the continuum limit, the supersymmetry is enhanced only at aparticular value of the deformation parameter, determined solely by the size ofthe noncommutativity.Comment: JHEP style, 1+22 pages, no figure, v2: two references added, v3: three more references adde

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