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66 papers
Supplementary Notes on VOA and 2D SCFT
Taizan Watari
Sections 2--3 of this note were prepared primarily for the author's private use, as a means of organizing the materials in (generally non-holomorphic) conformal field theory (CFT)…
Notes on Gepner Construction
Kanade Nishikawa, Taizan Watari
In this note, we describe the Gepner construction purely as orbifold (rather than a beta-prescription or orbifold-like process). This is done by distinguishing orbifolding by a chi…
Notes on Characterizations of 2d Rational SCFTs: Algebraicity, Mirror Symmetry and Complex Multiplication
Abhiram Kidambi, Masaki Okada, Taizan Watari
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 readabilit…
A note on varieties of weak CM-type
Masaki Okada, Taizan Watari
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 we…
Direct computation of period polynomials and classification of K3-fibred Calabi--Yau threefolds
Yuichi Enoki, Yotaro Sato, Taizan Watari
One can assign to four-dimensional N=2 supersymmetric Heterotic string vacua a set of classification invariants including a lattice and vector-valued modular forms. Some of t…
Towards Hodge Theoretic Characterizations of 2d Rational SCFTs: II
Masaki Okada, Taizan Watari
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 str…