Saddle point equations in Seiberg-Witten theory | Zendy

Sergey Shadchin | Zendy

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Saddle point equations in Seiberg-Witten theory

Author(s) -

Sergey Shadchin

Publication year - 2004

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 - 10.1088/1126-6708/2004/10/033

Subject(s) - saddle point , instanton , saddle , computation , mathematical physics , gauge theory , mathematics , gauge (firearms) , point (geometry) , physics , geometry , mathematical optimization , archaeology , algorithm , history

N=2 supersymmetric Yang-Mills theories for all classical gauge groups, thatis, for SU(N), SO(N), and Sp(N) is considered. The equations which define theSeiberg-Witten curve are proposed. In some cases they are solved. It is shownthat for (almost) all models allowed by the asymptotic freedom the 1-instantoncorrections which follows from these equations agree with the directcomputations and with known results.Comment: 46 pages, 4 figure

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