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math-ph2026
Prefactorization algebras for the conformal Laplacian: Central charge and Hilbert Fock space
Yuto Moriwaki
Let . We consider the symmetric monoidal category of oriented Riemannian -manifolds with conformal open embeddings. The prefactorization algebra associated with the co…
math-ph2026
Conformally flat factorization homology in Ind-Hilbert spaces and Conformal field theory
Yuto Moriwaki
We introduce a metric-dependent geometric variant of factorization homology in conformally flat Riemannian geometry for . Its coefficients are symmetric monoidal functors…
math-ph2024
Osterwalder-Schrader axioms for unitary full vertex operator algebras
Maria Stella Adamo, Yuto Moriwaki, Yoh Tanimoto
Full Vertex Operator Algebras (full VOA) are extensions of two commuting Vertex Operator Algebras, introduced to formulate compact two-dimensional conformal field theory. We define…