38 citations · 126 across the 14 of their papers we have counts for
14 papers
Unstable pseudo-isotopies of spherical 3-manifolds
Yuji Ohta, Tadayuki Watanabe
In our previous works, we constructed diffeomorphisms of compact 4-manifolds by surgeries on theta-graphs embedded in . In this paper, we consider the case , wh…
Direct Derivation of Scaling Relation of Prepotential in N=2 Supersymmetric G_2 Yang-Mills Theory
Yuji Ohta
In contrast with the classical gauge group cases, any method to prove exactly the scaling relation which relates moduli and prepotential is not known in the case of exceptional gau…
Instanton Correction of Prepotential in Ruijsenaars Model Associated with N=2 SU(2) Seiberg-Witten Theory
Yuji Ohta
Instanton correction of prepotential of one-dimensional SL(2) Ruijsenaars model is presented with the help of Picard-Fuchs equation of Pakuliak-Perelomov type. It is shown that the…
Picard-Fuchs Equations and Whitham Hierarchy in N=2 Supersymmetric SU(r+1) Yang-Mills Theory
Yuji Ohta
In general, Whitham dynamics involves infinitely many parameters called Whitham times, but in the context of N=2 supersymmetric Yang-Mills theory it can be regarded as a finite sys…
One-Instanton Prepotentials from WDVV equations in N=2 Supersymmetric SU(4) Yang-Mills Theory
Yuji Ohta
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 t…
Dual WDVV Equations in N=2 Supersymmetric Yang-Mills Theory
Yuji Ohta
This paper studies the dual form of Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations in N=2 supersymmetric Yang-Mills theory by applying a duality transformation to WDVV equatio…
Non-perturbative Solutions to N=2 Supersymmetric Yang-Mills Theories -Progress and Perspective-
Yuji Ohta
This note reviews the progress on the low energy dynamics of N=2 supersymmetric Yang-Mills theories after the works of Seiberg and Witten. Specifically, the theory of prepotential…
Picard-Fuchs Ordinary Differential Systems in N=2 Supersymmetric Yang-Mills Theories
Yuji Ohta
In general, Picard-Fuchs systems in N=2 supersymmetric Yang-Mills theories are realized as a set of simultaneous partial differential equations. However, if the QCD scale parameter…
Differential Equations for Scaling Relation in N=2 Supersymmetric SU(2) Yang-Mills Theory Coupled with Massive Hypermultiplet
Yuji Ohta
Differential equations for scaling relation of prepotential in N=2 supersymmetric SU(2) Yang-Mills theory coupled with massive matter hypermultiplet are proposed and are explicitly…
Picard-Fuchs Equation and Prepotential of Five Dimensional SUSY Gauge Theory Compactified on a Circle
Hiroaki Kanno, Yuji Ohta
Five dimensional supersymmetric gauge theory compactified on a circle defines an effective N=2 supersymmetric theory for massless fields in four dimensions. Based on the relativist…
Topological Field Theories associated with Three Dimensional Seiberg-Witten monopoles
Yűji Ohta
Three dimensional topological field theories associated with the three dimensional version of Abelian and non-Abelian Seiberg-Witten monopoles are presented. These three dimensiona…
Prepotential of N=2 SU(2) Yang-Mills gauge theory coupled with a massive matter multiplet
Yűji Ohta
We discuss the N=2 SU(2) Yang-Mills theory coupled with a massive matter in the weak coupling. In particular, we obtain the instanton expansion of its prepotential. Instanton contr…
Prepotentials of N=2 SU(2) Yang-Mills theories coupled with massive matter multiplets
Yuji Ohta
We discuss N=2 SU(2) Yang-Mills gauge theories coupled with N_f (=2,3) massive hypermultiplets in the weak coupling limit. We determine the exact massive prepotentials and the mono…
Topological Strings with Scaling Violation and Toda Lattice Hierarchy
Hiroaki Kanno, Yűji Ohta
We show that there is a series of topological string theories whose integrable structure is described by the Toda lattice hierarchy. The monodromy group of the Frobenius manifold f…