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20182026
most citedTwo-dimensional conformal field theory, full vertex algebra and current-current deformation

11 citations · 35 across the 15 of their papers we have counts for

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math.QA2026

Higher-dimensional full vertex algebras and systems of conformally covariant correlation functions

Yuto Moriwaki

We formulate a class of systems of Euclidean correlation functions for compact -dimensional conformal field theories which are not necessarily unitary. We also introduce conform…

math.QA2026

Conformal blocks, parenthesized braid operad, and Virasoro vertex operator algebra

Yuto Moriwaki

We review the construction of a pseudo-braided category structure on the -cofinite module category of a vertex operator algebra using conformal blocks and analytic continuatio…

math.CO2026

Subtraction Nim with Continuous Parameters

Yuto Moriwaki

When is a finite set of positive integers, we can consider classical Subtraction Nim with as the set of removable numbers. Even when consists of three elements, many qu…

math.QA2026

Bergman space, Conformally flat 2-disk operads and affine Heisenberg vertex algebra

Yuto Moriwaki

In this paper we consider the operad of holomorphic disk embeddings of the unit disk . We introduce a suboperad defined by square-…

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…