Instantons in Script N = 1/2 super Yang-Mills theory via deformed super ADHM construction | Zendy

Takeo Araki | Zendy; Tatsuhiko Takashima | Zendy; Satoshi Watamura | Zendy

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Instantons in Script N = 1/2 super Yang-Mills theory via deformed super ADHM construction

Author(s) -

Takeo Araki,

Tatsuhiko Takashima,

Satoshi Watamura

Publication year - 2005

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 - 10.1088/1126-6708/2005/12/044

Subject(s) - superspace , instanton , mathematics , gauge theory , mathematical physics , commutative property , pure mathematics , algebra over a field , physics , supersymmetry

We study an extension of the ADHM construction to give deformedanti-self-dual (ASD) instantons in N=1/2 super Yang-Mills theory with U(n)gauge group. First we extend the exterior algebra on superspace tonon(anti)commutative superspace and show that the N=1/2 super Yang-Mills theorycan be reformulated in a geometrical way. By using this exterior algebra, weformulate a non(anti)commutative version of the super ADHM construction andshow that the curvature two-form superfields obtained by our construction dosatisfy the deformed ASD equations and thus we establish the deformed superADHM construction. We also show that the known deformed U(2) one instantonsolution is obtained by this construction.Comment: 32 pages, LaTeX, v2: typos corrected, references adde

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