11 citations · 35 across the 15 of their papers we have counts for
11 papers · 1 filter
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…
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…
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-…
Convergence and operadic compatibility of bulk and boundary OPEs in two-dimensional conformal field theory
Yuto Moriwaki
We prove convergence and compatibility of iterated bulk and boundary operator product expansions (OPEs) in two-dimensional conformal field theory with locally -cofinite chiral…
Vertex operator algebra and parenthesized braid operad
Yuto Moriwaki
We study conformal blocks of vertex operator algebras on configuration spaces from the viewpoint of the parenthesized braid operad, a combinatorial model of the fundamental groupoi…
Quantum coordinate ring in WZW model and affine vertex algebra extensions
Yuto Moriwaki
In this paper, we construct various simple vertex superalgebras which are extensions of affine vertex algebras, by using abelian cocycle twists of representation categories of quan…
Code conformal field theory and framed algebra
Yuto Moriwaki
It is known that there are 48 Virasoro algebras acting on the monster conformal field theory. We call conformal field theories with such a property, which are not necessarily chira…
Two-dimensional conformal field theory, full vertex algebra and current-current deformation
Yuto Moriwaki
The main purpose of this paper is a mathematical construction of a non-perturbative deformation of a two-dimensional conformal field theory. We introduce a notion of a full vertex…
Full vertex algebra and bootstrap -- consistency of four point functions in 2d CFT
Yuto Moriwaki
In physics, it is believed that the consistency of two dimensional conformal field theory follows from the bootstrap equation. In this paper, we introduce the notion of a full vert…
Genus of vertex algebras and mass formula
Yuto Moriwaki
We introduce the notion of a genus and its mass for vertex algebras. For lattice vertex algebras, their genera are the same as those of lattices, which plays an important role in t…
On classification of conformal vectors in vertex operator algebra and the vertex algebra automorphism group
Yuto Moriwaki
Herein we study conformal vectors of a Z-graded vertex algebra of (strong) CFT type. We prove that the full vertex algebra automorphism group transitively acts on the set of the co…