1999/04/30 by Yuji Ohta, Yűji Ohta
Physics and Astronomy · #Black Holes and Theoretical Physics #Duality (order theory) #Instanton #Measure (data warehouse) #Nonlinear Waves and Solitons #Nonlinear system #Partial differential equation #Quantum Mechanics and Non-Hermitian Physics #Relation (database) #Scaling #Superfield #hep-th
paper · pdf · doi:10.1063/1.532946
published as J.Math.Phys.40:4089-4098,1999 · revtex, 15 pages, accepted in J. Math. Phys
arxiv created 1999/05/31 · openalex publication_date 1999/08/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Prepotentials in N=2 supersymmetric Yang–Mills theories are known to obey nonlinear partial differential equations called Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. In this paper, the prepotentials at the 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 obtained from WDVV equations by assuming the perturbative prepotential and by using the scaling relation as a subsidiary condition but are determined without introducing the Seiberg–Witten curve. In this way, various one-instanton prepotentials which satisfy both WDVV equations and the scaling relation can be derived, but it turns out that among them there exist one-instanton prepotentials which coincide with the instanton calculus.