On a Riemann-Hilbert problem for the focusing nonlocal mKdV equation with step-like initial data

2021 ◽  
pp. 107009
Author(s):  
Leilei Liu ◽  
Weiguo Zhang
Keyword(s):  
Initial Data ◽  
Hilbert Problem ◽  
Mkdv Equation ◽  
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

scholarly journals The Riemann–Hilbert problem and the generalized Neumann kernel

2005 ◽  
Vol 182 (2) ◽  
pp. 388-415 ◽  
Author(s):  
R. Wegmann ◽  
A.H.M. Murid ◽  
M.M.S. Nasser
Keyword(s):  
Hilbert Problem ◽  
Generalized Neumann Kernel ◽  
Neumann Kernel ◽  
Riemann Hilbert Problem
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