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A note on instanton counting forN=2 gauge theories with classical gauge groups
Author(s) -
Marcos Mariño,
Niclas Wyllard
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 - 10.1088/1126-6708/2004/05/021
Subject(s) - instanton , antisymmetric relation , gauge theory , physics , theoretical physics , string (physics) , string theory , gauge (firearms) , mathematical physics , gravitation , quantum mechanics , archaeology , history
We study the prepotential of N=2 gauge theories using the instanton countingtechniques introduced by Nekrasov. For the SO theories without matter we find aclosed expression for the full prepotential and its string theory gravitationalcorrections. For the more subtle case of Sp theories without matter we discussgeneral features and compute the prepotential up to instanton number three. Wealso briefly discuss SU theories with matter in the symmetric and antisymmetricrepresentations. We check all our results against the predictions of thecorresponding Seiberg-Witten geometries.Comment: 24 pages, LaTeX. v2: refs added. v3: typos correcte

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