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Complex Analysis
Mellin-Barnes (MB) integrals are defined in the complex plane as contour integrals over integrands involving the exponential and gamma functions in...
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Charged dust in higher curvature geometry
We analyze the configuration of charged dust in the context of the higher dimensional and higher curvature Einstein–Gauss–Bonnet–Maxwell theory. With...
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Sums of Two-Parameter Deformations of Multiple Polylogarithms
In this paper, we introduce a generating function of sums of two-parameter deformations of multiple polylogarithms, denoted by Φ 2 ( a ; p , q ), and study a q ...
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The diagrammatic coaction beyond one loop
The diagrammatic coaction maps any given Feynman graph into pairs of graphs and cut graphs such that, conjecturally, when these graphs are replaced...
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GICAR Algebras and Dynamics on Determinantal Point Processes: Discrete Orthogonal Polynomial Ensemble Case
It is known that determinantal point processes have an intimate relation to operator algebras. In the paper, we extend this relationship to encompass...
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Causality bounds on scalar-tensor EFTs
We compute the causality/positivity bounds on the Wilson coefficients of scalar-tensor effective field theories. Two-sided bounds are obtained by...
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Large N analytical functional bootstrap. Part I. 1D CFTs and total positivity
We initiate the analytical functional bootstrap study of conformal field theories with large N limits. In this first paper we particularly focus on...
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Special Solutions for Discrete Painlevé Equations
We construct special solutions for the discrete Painlevé equations. We start with a review of the corresponding solutions in the case of the...
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The massless single off-shell scalar box integral — branch cut structure and all-order epsilon expansion
We investigate the single off-shell scalar box integral with massless internal lines in dimensional regularization. A special emphasis is given to...
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Chebyshev Polynomials
The topics of this chapter are Chebyshev polynomials of 1st, 2nd, 3rd, and 4th kind. Arbitrarily shifted polynomials will be discussed as well as...
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Revisitation of “implicit quiescent optical solitons with complex Ginzburg–Landau equation having nonlinear chromatic dispersion": generalized temporal evolution
This paper is a revisitation to the study on the retrieval of quiescent optical solitons to the complex Ginzburg–Landau equation that is considered...
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Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives
We provide a comprehensive summary of concepts from Calabi-Yau motives relevant to the computation of multi-loop Feynman integrals. From this we...
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Entanglement entropy and the boundary action of edge modes
We consider an antisymmetric gauge field in the Minkowski space of d -dimension and decompose it in terms of the antisymmetric tensor harmonics and...