On instantons and zero modes of Script N = 1/2 SYM theory | Zendy

Ali Imaanpur | Zendy

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On instantons and zero modes of Script N = 1/2 SYM theory

Author(s) -

Ali Imaanpur

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 - 10.1088/1126-6708/2003/09/077

Subject(s) - instanton , zero (linguistics) , action (physics) , mathematical physics , zero mode , equations of motion , quartic function , physics , fermion , effective action , motion (physics) , quantum mechanics , mathematics , classical mechanics , pure mathematics , philosophy , linguistics

We study zero modes of N=1/2 supersymmetric Yang-Mills action in thebackground of instantons. In this background, because of a quartic antichiralfermionic term in the action, the fermionic solutions of the equations ofmotion are not in general zero modes of the action. Hence, when there arefermionic solutions, the action is no longer minimized by instantons. Bydeforming the instanton equation in the presence of fermions, we write down thezero mode equations. The solutions satisfy the equations of motion, andsaturate the BPS bound. The deformed instanton equations imply that the finiteaction solutions have U(1) connections which are not flat anymore.Comment: 9 pages, latex file, added references, minor change

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