Direct derivation of scaling relation of prepotential in N=2 supersymmetric G2 Yang–Mills theory | Zendy

Yűji Ohta | Zendy

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Direct derivation of scaling relation of prepotential in N=2 supersymmetric G2 Yang–Mills theory

Author(s) -

Yűji Ohta

Publication year - 2000

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.533359

Subject(s) - scaling , gauge theory , mathematical physics , yang–mills theory , relation (database) , yang–mills existence and mass gap , moduli , gauge (firearms) , gauge group , mathematics , supersymmetry , supersymmetric gauge theory , physics , theoretical physics , quantum mechanics , geometry , archaeology , database , computer science , history

In contrast with the classical gauge group cases, any method to prove exactlythe scaling relation which relates moduli and prepotential is not known in thecase of exceptional gauge groups. This paper provides a direct method toestablish this relation by using Picard-Fuchs equations. In particular, it isshown that the scaling relation found by Ito in N=2 supersymmetric G_2Yang-Mills theory actually holds exactly.Comment: ver.2, revtex, 14 pages, to be published in Journal of Mathematical Physic

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