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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…
On odd number of fermion zero modes on solitons in quantum field theory and string/M theory
Yotaro Sato, Yuji Tachikawa, Taizan Watari
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…