WDVV-like equations in = 2 SUSY Yang-Mills theory
نویسندگان
چکیده
منابع مشابه
More Evidence for the WDVV Equations in N=2 SUSY Yang-Mills Theories
We consider 4d and 5d N = 2 supersymmetric theories and demonstrate that in general their SeibergWitten prepotentials satisfy the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. General proof for the Yang-Mills models (with matter in the first fundamental representation) makes use of the hyperelliptic curves and underlying integrable systems. A wide class of examples is discussed, it conta...
متن کاملWDVV equations for pure Super-Yang-Mills theory
In the literature, there are two proofs [MMM] [IY98] that the prepotential of N = 2 pure Super-Yang-Mills theory satisfies the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. We show that these two methods are in fact equivalent. MSC Subj. Class. 2000: 14H15, 81T60
متن کاملOne-Instanton Prepotentials From WDVV Equations in N = 2 Supersymmetric SU(4) Yang-Mills Theory
Prepotentials in N = 2 supersymmetric Yang-Mills theories are known to obey non-linear partial differential equations called Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. In this paper, the prepotentials at one-instanton level in N = 2 supersymmetric SU(4) Yang-Mills theory are studied from the standpoint of WDVV equations. Especially, it is shown that the one-instanton prepotentials are...
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We obtain the nonperturbative relation v = ± 2 3 √ 3 u + cΛF12 + dΛ. This relation gives 〈trφ3〉 in terms of the prepotential F and the vevs 〈φi〉 in N = 2 SYM with gauge group SU(3). We also obtain the nonlinear differential equations satisfied by F and show that these include the Witten – Dijkgraaf – Verlinde – Verlinde equation. The method we propose can be generalized to higher rank groups. P...
متن کاملWDVV equations for F 4 pure N = 2 Super - Yang - Mills theory
An associative algebra of holomorphic differential forms is constructed associated with pure N=2 Super-Yang-Mills theory for the Lie algebra F4. Existence and associativity of this algebra, combined with the general arguments in the work of Marshakov, Mironov and Morozov, proves that the prepotential of this theory satisfies the generalized WDVV system.
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1996
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(96)01231-2