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Coulomb branches with complex singularities [PDF]
Journal of High Energy Physics, 2018 We construct 4d superconformal field theories (SCFTs) whose Coulomb branches have singular complex structures. This implies, in particular, that their Coulomb branch coordinate rings are not freely generated.
Philip C. Argyres, Mario Martone
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New conformal mapping for adaptive resolving of the complex singularities of Stokes wave. [PDF]
Proc Math Phys Eng Sci, 2017 A new highly efficient method is developed for computation of traveling periodic waves (Stokes waves) on the free surface of deep water. A convergence of numerical approximation is determined by the complex singularites above the free surface for the ...
Lushnikov PM +2 more
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Complex-Temperature Singularities of Ising Models [PDF]
Nuclear Physics B - Proceedings Supplements, 1995 We report new results on complex-temperature properties of Ising models. These include studies of the $s=1/2$ model on triangular, honeycomb, kagom\'e, $3 \cdot 12^2$, and $4 \cdot 8^2$ lattices. We elucidate the complex--$T$ phase diagrams of the higher-
Domb +15 more
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Extension Phenomena for Holomorphic Geometric Structures [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The most commonly encountered types of complex analytic G-structures and Cartan geometries cannot have singularities of complex codimension 2 or more.
Benjamin McKay
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Complex singularities and PDEs
, 2015 In this paper we give a review on the computational methods used to characterize the complex singularities developed by some relevant PDEs. We begin by reviewing the singularity tracking method based on the analysis of the Fourier spectrum.
Caflisch, R. E. +3 more
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Rigorous reconstruction of gluon propagator in the presence of complex singularities
SciPost Physics Proceedings, 2022 It has been suggested that the Landau-gauge gluon propagator has complex singularities, which invalidates the K\"all\'en-Lehmann spectral representation.
Yui Hayashi, Kei-Ichi Kondo
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Complexity=anything: singularity probes
Journal of High Energy Physics, 2023 Abstract We investigate how the complexity=anything observables proposed by [1, 2] can be used to investigate the interior geometry of AdS black holes. In particular, we illustrate how the flexibility of the complexity=anything approach allows us to systematically probe the geometric properties of black hole singularities.
Eivind Jørstad +2 more
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ON COMPLEX HOMOGENEOUS SINGULARITIES [PDF]
Bulletin of the Australian Mathematical Society, 2019 We study the singularity at the origin of $\mathbb{C}^{n+1}$ of an arbitrary homogeneous polynomial in $n+1$ variables with complex coefficients, by investigating the monodromy characteristic polynomials $\unicode[STIX]{x1D6E5}_{l}(t)$ as well as the relation between the monodromy zeta function and the Hodge spectrum of the singularity.
QUY THUONG LÊ +2 more
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Physical Review X, 2022 Ventricular fibrillation (VF) is a life-threatening electromechanical dysfunction of the heart associated with complex spatiotemporal dynamics of electrical excitation and mechanical contraction of the heart muscle.
A. Molavi Tabrizi +5 more
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Koszul Complexes and Hypersurface Singularities [PDF]
Proceedings of the American Mathematical Society, 1994 The behavior of Poincaré series and Betti numbers of complex projective hypersurfaces in terms of their singularities is compared.
Choudary, A. D. Raza, Dimca, A.
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