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Sergey Shadchin | Zendy

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Cubic curves from instanton counting

Author(s) -

Sergey Shadchin

Publication year - 2006

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 - 10.1088/1126-6708/2006/03/046

Subject(s) - instanton , antisymmetric relation , physics , gauge theory , product (mathematics) , computation , series (stratigraphy) , gauge group , mathematical physics , bar (unit) , mathematics , geometry , algorithm , meteorology , paleontology , biology

We investigate the possibility to extract Seiberg-Witten curves from theformal series for the prepotential, which was obtained by the Nekrasovapproach. A method for models whose Seiberg-Witten curves are not hyperellipticis proposed. It is applied to the SU(N) model with one symmetric orantisymmetric representations as well as for SU(N_1)xSU(N_2) model with(N_1,N_2) or (N_1,\bar{N}_2) bifundamental matter. Solutions are compared withknown results. For the gauge group product we have checked the instantoncorrections which follow from our curves against direct instanton countingcomputations up to two instantons.Comment: 30 pages, v2. typos fixed, referenced adde

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