26 citations
9 papers
Leibniz rule and exact supersymmetry on lattice: a case of supersymmetrical quantum mechanics
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
We propose a new formulation of lattice theory. It is given by a matrix form and suitable for satisfying Leibniz rule on lattice. The theory may be interpreted as a multi-flavor sy…
Instanton counting on blowup. II. -theoretic partition function
Hiraku Nakajima, Kota Yoshioka
We study Nekrasov's deformed partition function of 5-dimensional supersymmetric Yang-Mills theory compactified on a circle. Mathematically it is the generating function of the char…
Splitting criterion for reflexive sheaves
Takuro Abe, Masahiko Yoshinaga
The purpose of this paper is to study the structure of reflexive sheaves over projective spaces through hyperplane sections. We give a criterion for a reflexive sheaf to split into…
Absolute Values of Neutrino Masses implied by the Seesaw Mechanism
H. Tsujimoto
It is found that the seesaw mechanism not only explain the smallness of neutrino masses but also account for the large mixing angles simultaneously, even if the unification of the…
Point configurations, Cremona transformations and the elliptic difference Painlevé equation
K. Kajiwara, T. Masuda, M. Noumi +2
A theoretical foundation for a generalization of the elliptic difference Painlevé equation to higher dimensions is provided in the framework of birational Weyl group action on the…
Lower bounds for Morse index of constant mean curvature tori
Wayne Rossman
We give three lower bounds for the Morse index of a constant mean curvature torus in Euclidean 3-space in terms of its spectral genus g. The first two lower bounds grow linearly in…