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pro vyhledávání: '"Watari, Taizan"'
These notes combine results from two papers by the present authors viz., Part I (arXiv:2205.10299) and Part II (arXiv:2212.13028) into one streamlined version for better readability, along with a review on theory of complex multiplication for non-sin
Externí odkaz:
http://arxiv.org/abs/2408.00861
Autor:
Okada, Masaki, Watari, Taizan
Publikováno v:
J. Geom. Phys. 197 (2024) 105084
CM-type projective varieties X of complex dimension n are characterized by their CM-type rational Hodge structures on the cohomology groups. One may impose such a condition in a weakest form when the canonical bundle of X is trivial; the rational Hod
Externí odkaz:
http://arxiv.org/abs/2306.10282
Autor:
Okada, Masaki, Watari, Taizan
A characterization of rational superconformal field theories (SCFTs) on 1+1 dimensions with Ricci-flat Kahler targets was proposed by S. Gukov and C. Vafa in terms of the Hodge structure of the target space. The article [arXiv:2205.10299] refined thi
Externí odkaz:
http://arxiv.org/abs/2212.13028
One can assign to four-dimensional N=2 supersymmetric Heterotic string vacua a set of classification invariants including a lattice $\Lambda_S$ and vector-valued modular forms. Some of the classification invariants are constrained by the condition th
Externí odkaz:
http://arxiv.org/abs/2212.07948
We argue that having an odd number of Majorana fermion zero modes on a dynamical point-like soliton signifies an inconsistency in a theory with 3+1 and higher dimensions. We check this statement in a couple of examples in field theory and in string/M
Externí odkaz:
http://arxiv.org/abs/2205.13185
The study of rational conformal field theories in the moduli space is of particular interest since these theories correspond to points in moduli space where the algebraic and arithmetic structure are usually richer, while also being points where non-
Externí odkaz:
http://arxiv.org/abs/2205.10299
Autor:
Enoki, Yuichi, Watari, Taizan
We compute the monodromy matrices on the special geometry of 4d N=2 Heterotic--IIA dual vacua in some simple cases by numerical evaluation of the period integrals, without assuming geometric background. The integrality of the monodromy matrices const
Externí odkaz:
http://arxiv.org/abs/2111.01575
Autor:
Okada, Masaki, Watari, Taizan
Publikováno v:
In Journal of Geometry and Physics March 2024 197
Autor:
Kanno, Keita, Watari, Taizan
It is an important question in string compactification whether complex structure moduli stabilization inevitably ends up with a vacuum expectation value of the superpotential < W > of the order of the Planck scale cubed. Any thoughts on volume stabil
Externí odkaz:
http://arxiv.org/abs/2012.01111
We showed that there is no SU(2) Witten anomaly in a large class of 4d N = 2 supersymmetric Heterotic string compactifications. The consistency conditions we consider are the modularity of the new supersymmetric index, the integrality of BPS indices,
Externí odkaz:
http://arxiv.org/abs/2005.01069