Riemann–Hilbert Problem and Matrix Biorthogonal Polynomials

2021 ◽  
pp. 1-15
Author(s):  
Amílcar Branquinho ◽  
Ana Foulquié-Moreno ◽  
Manuel Mañas-Baena
Keyword(s):  
Hilbert Problem ◽  
Biorthogonal Polynomials ◽  
Matrix Biorthogonal Polynomials ◽  
Riemann Hilbert Problem

scholarly journals On the Modular Operator of Mutli-component Regions in Chiral CFT

2021 ◽  
Author(s):  
Stefan Hollands
Keyword(s):  
Field Theory ◽  
Integral Equation ◽  
Hilbert Problem ◽  
Matrix Elements ◽  
New Approach ◽  
Conformal Field ◽  
The Matrix ◽  
Kms Condition ◽  
Modular Operator ◽  
Riemann Hilbert Problem

AbstractWe introduce a new approach to find the Tomita–Takesaki modular flow for multi-component regions in general chiral conformal field theory. Our method is based on locality and analyticity of primary fields as well as the so-called Kubo–Martin–Schwinger (KMS) condition. These features can be used to transform the problem to a Riemann–Hilbert problem on a covering of the complex plane cut along the regions, which is equivalent to an integral equation for the matrix elements of the modular Hamiltonian. Examples are considered.

scholarly journals Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa II: Riemann–Hilbert Problem

2015 ◽  
Vol 336 (1) ◽  
pp. 337-380 ◽  
Author(s):  
Martin A. Guest ◽  
Alexander R. Its ◽  
Chang-Shou Lin
Keyword(s):  
Hilbert Problem ◽  
Riemann Hilbert Problem
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