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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…
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…
Towards Hodge Theoretic Characterizations of 2d Rational SCFTs
Abhiram Kidambi, Masaki Okada, Taizan Watari
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 arith…