34 citations · 355 across the 43 of their papers we have counts for
38 papers · 1 filter
Rational and non-rational two-dimensional conformal field theories arising from lattices
Maria Stella Adamo, Luca Giorgetti, Yoh Tanimoto
For a (finite-dimensional) real Hilbert space and an orthogonal projection , we consider the associated Heisenberg Lie algebra and the two-dimensional Heisenberg c…
Non-unitary Wightman CFTs and non-unitary vertex algebras
Sebastiano Carpi, Christopher Raymond, Yoh Tanimoto +1
We give an equivalence of categories between: (i) Möbius vertex algebras which are equipped with a choice of generating family of quasiprimary vectors, and (ii) (not-necessarily-un…
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…
The Bałaban variational problem in the non-linear sigma model
Wojciech Dybalski, Alexander Stottmeister, Yoh Tanimoto
The minimization of the action of a QFT with a constraint dictated by the block averaging procedure is an important part of Bałaban's approach to renormalization. It is particularl…
Lattice Green functions for pedestrians: Exponential decay
Wojciech Dybalski, Alexander Stottmeister, Yoh Tanimoto
The exponential decay of lattice Green functions is one of the main technical ingredients of the Bałaban's approach to renormalization. We give here a self-contained proof, whose v…
Towards integrable perturbation of 2d CFT on de Sitter space
Christian D. Jäkel, Yoh Tanimoto
We describe a procedure to deform the dynamics of a two-dimensional conformal net to possibly obtain a Haag-Kastler net on the de Sitter spacetime. The new dynamics is given by add…
Wightman fields for two-dimensional conformal field theories with pointed representation category
Maria Stella Adamo, Luca Giorgetti, Yoh Tanimoto
Two-dimensional full conformal field theories have been studied in various mathematical frameworks, from algebraic, operator-algebraic to categorical. In this work, we focus our at…
Unitary vertex algebras and Wightman conformal field theories
Christopher Raymond, Yoh Tanimoto, James E. Tener
We prove an equivalence between the following notions: (i) unitary Möbius vertex algebras, and (ii) Wightman conformal field theories on the circle (with finite-dimensional conform…
Modular operator for null plane algebras in free fields
Vincenzo Morinelli, Yoh Tanimoto, Benedikt Wegener
We consider the algebras generated by observables in quantum field theory localized in regions in the null plane. For a scalar free field theory, we show that the one-particle stru…
Local energy bounds and strong locality in chiral CFT
Sebastiano Carpi, Yoh Tanimoto, Mihály Weiner
A family of quantum fields is said to be strongly local if it generates a local net of von Neumann algebras. There are few methods of showing directly strong locality of a quantum…
Scaling limits of lattice quantum fields by wavelets
Vincenzo Morinelli, Gerardo Morsella, Alexander Stottmeister +1
We present a rigorous renormalization group scheme for lattice quantum field theories in terms of operator algebras. The renormalization group is considered as an inductive system…
Operator-algebraic renormalization and wavelets
Alexander Stottmeister, Vincenzo Morinelli, Gerardo Morsella +1
We report on a rigorous operator-algebraic renormalization group scheme and construct the continuum free field as the scaling limit of Hamiltonian lattice systems using wavelet the…
Solitons and nonsmooth diffeomorphisms in conformal nets
Simone Del Vecchio, Stefano Iovieno, Yoh Tanimoto
We show that any solitonic representation of a conformal (diffeomorphism covariant) net on S^1 has positive energy and construct an uncountable family of mutually inequivalent soli…
Scale and Möbius covariance in two-dimensional Haag-Kastler net
Vincenzo Morinelli, Yoh Tanimoto
Given a two-dimensional Haag-Kastler net which is Poincaré-dilation covariant with additional properties, we prove that it can be extended to a Möbius covariant net. Additional pro…
Ground state representations of some non-rational conformal nets
Yoh Tanimoto
We construct families of ground state representations of the U(1)-current net and of the Virasoro nets Vir_c with central charge c >= 1. We show that these representations are not…
Free products in AQFT
Roberto Longo, Yoh Tanimoto, Yoshimichi Ueda
We apply the free product construction to various local algebras in algebraic quantum field theory. If we take the free product of infinitely many identical half-sided modular incl…
Towards entanglement entropy with UV cutoff in conformal nets
Yul Otani, Yoh Tanimoto
We consider the entanglement entropy for a spacetime region and its spacelike complement in the framework of algebraic quantum field theory. For a Möbius covariant local net satisf…
Wedge-local observables in the deformed sine-Gordon model
Daniela Cadamuro, Yoh Tanimoto
In the bootstrap approach to integrable quantum field theories in the (1+1)-dimensional Minkowski space, one conjectures the two-particle S-matrix and tries to study local observab…
Conformal covariance and the split property
Vincenzo Morinelli, Yoh Tanimoto, Mihály Weiner
We show that for a conformal local net of observables on the circle, the split property is automatic. Both full conformal covariance (i.e. diffeomorphism covariance) and the circle…
Rotational KMS states and type I conformal nets
Roberto Longo, Yoh Tanimoto
We consider KMS states on a local conformal net on the unit circle with respect to rotations. We prove that, if the conformal net is of type I, namely if it admits only type I DHR…
Bound state operators and wedge-locality in integrable quantum field theories
Yoh Tanimoto
We consider scalar two-dimensional quantum field theories with the factorizing S-matrix which has poles in the physical strip. In our previous work, we introduced the bound state o…
Wedge-local fields in integrable models with bound states II. Diagonal S-matrix
Daniela Cadamuro, Yoh Tanimoto
We construct candidates for observables in wedge-shaped regions for a class of 1+1-dimensional integrable quantum field theories with bound states whose S-matrix is diagonal, by ex…
Self-adjointness of bound state operators in integrable quantum field theory
Yoh Tanimoto
We study self-adjoint extensions of operators which are the product of the multiplication operator by an analytic function and the analytic continuation in a strip. We compute the…
Wedge-local fields in integrable models with bound states
Daniela Cadamuro, Yoh Tanimoto
Recently, large families of two-dimensional quantum field theories with factorizing S-matrices have been constructed by the operator-algebraic methods, by first showing the existen…