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Expression of the Holtsmark function in terms of hypergeometric \(_{2}F_2\) and Airy Bi functions
The Holtsmark distribution has applications in plasma physics, for the electric-microfield distribution involved in spectral line shapes for...
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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...
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A Lambert-W Exactly Solvable Level-Crossing Confluent Hypergeometric Two-State Model
We introduce a new exactly integrable level-crossing model of quantum semiclassical two-state problem for which the analytic solution is written in...
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Implicit quiescent optical solitons for the concatenation model with nonlinear chromatic dispersion and power–law of self–phase modulation by Lie symmetry
The focus of this paper lies in uncovering implicit quiescent optical solitons within a concatenation model. This model is characterized by nonlinear...
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Resolving Singularities and Monodromy Reduction of Fuchsian Connections
We study monodromy reduction of Fuchsian connections from a sheave theoretic viewpoint, focusing on the case when a singularity of a special...
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Pentagon integrals to arbitrary order in the dimensional regulator
We analytically calculate one-loop five-point Master Integrals, pentagon integrals , with up to one off-shell leg to arbitrary order in the...
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Ghost problem, spectrum identities and various constraints on brane-localized gravity
This paper investigates the brane-localized interactions, including DGP gravity and higher derivative (HD) gravity localized on the brane. We derive...
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Defect conformal blocks from Appell functions
We develop a group theoretical formalism to study correlation functions in defect conformal field theory, with multiple insertions of bulk and defect...
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Entanglement entropy of gravitational edge modes
We consider the linearised graviton in 4 d Minkowski space and decompose it into tensor spherical harmonics and fix the gauge. The Gauss law of...
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Quadrature Formulas for Integrals with a Weak Singularity in the Kernel and a Weight Function of Jacobi Polynomials with Complex Exponents
Quadrature formulas are presented for integrals with a logarithmic singularity and with a sign function, containing the weight function of Jacobi...
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Topological Quantum Gates in Homotopy Type Theory
Despite the plausible necessity of topological protection for realizing scalable quantum computers, the conceptual underpinnings of topological...
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Oscillating multiple giants
We propose a new example of the AdS/CFT correspondence between the system of multiple giant gravitons in AdS 5 × S 5 and the operators with O ( N c )...
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From celestial correlators to AdS, and back
We present a general relation between celestial correlation functions in d -dimensions and Witten diagrams in ( d + 1)-dimensional Euclidean anti-de...
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Cubic-quartic optical solitons and conservation laws with cubic-quintic-septic-nonic and quadrupled-power law nonlinearities
The focus of this paper is the retrieval of cubic-quartic optical solitons with quadrupled power and nonlinearity governed by...
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Stages of Yaroslav M. Grigorenko’s Life Path and the Main Results of His Scientific Research
Yaroslav Mikhailovich Grigorenko was a Ukrainian scientist with many contributions to computational mechanics. This chapter provides a brief...
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Multipoint lightcone bootstrap from differential equations
One of the most striking successes of the lightcone bootstrap has been the perturbative computation of the anomalous dimensions and OPE coefficients...
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One- and two-dimensional higher-point conformal blocks as free-particle wavefunctions in \( {\textrm{AdS}}_3^{\otimes m} \)
We establish that all of the one- and two-dimensional global conformal blocks are, up to some choice of prefactor, free-particle wavefunctions in...