Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Moriwaki, Yuto"'
Autor:
Moriwaki, Yuto
In this paper, we construct an action of the fundamental groupoid of the Swiss-cheese operad (the parenthesized permutation and braid operad) on $C_1$-cofinite module categories of a vertex operator algebra. Based on this result, we show that when a
Externí odkaz:
http://arxiv.org/abs/2410.02648
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 unitarity, polynomial energy bounds and polynomial spectral density f
Externí odkaz:
http://arxiv.org/abs/2407.18222
Autor:
Moriwaki, Yuto
Conformal blocks, physical quantities of chiral 2d conformal field theory, are sheaves on the configuration spaces of the complex plane, which are mathematically formulated in terms of a vertex operator algebra, its modules and associated D-modules.
Externí odkaz:
http://arxiv.org/abs/2209.10443
Autor:
Moriwaki, Yuto
Publikováno v:
Sel. Math. New Ser. 28, 68 (2022)
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 quantum groups. This solves the Creutzig and Gaiotto conjectures in the ca
Externí odkaz:
http://arxiv.org/abs/2111.11357
Autor:
Moriwaki, Yuto
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 chiral, code conformal field theories. In this paper, we introduce a notion
Externí odkaz:
http://arxiv.org/abs/2104.10094
Autor:
Moriwaki, Yuto
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 algebra which formulates a compact two-dimensional conformal field the
Externí odkaz:
http://arxiv.org/abs/2007.07327
Autor:
Moriwaki, Yuto
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 vertex algebra by analyzing the bootstrap equation, which is a "real analy
Externí odkaz:
http://arxiv.org/abs/2006.15859
Autor:
Moriwaki, Yuto
Publikováno v:
Math Z (2021)
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 the classification of lattices. We derive a formula relating the mass f
Externí odkaz:
http://arxiv.org/abs/2004.01441
Autor:
Moriwaki, Yuto
Publikováno v:
In Advances in Mathematics 15 August 2023 427
Autor:
Moriwaki, Yuto
Publikováno v:
J.Algebra(2019)
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 conformal vectors of strong CFT type if the vertex algebra is simple. Th
Externí odkaz:
http://arxiv.org/abs/1810.04899