Results 21 to 30 of about 5,837 (259)
Phase singularities in isotropic random waves [PDF]
, 2000 The singularities of complex scalar waves are their zeros; these are dislocation lines in space, or points in the plane. For waves in space, and waves in the plane (propagating in two dimensions, or sections of waves propagating in three), we calculate ...
Dennis, MR +5 more
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The dual complex of singularities [PDF]
Advanced Studies in Pure Mathematics, 2018 21 pages; v3: final version, to appear in Adv. Stud.
de Fernex, Tommaso +2 more
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Milnor number equals Tjurina number for functions on space curves [PDF]
, 2001 The equality of the Milnor number and Tjurina number for functions on space curve singularities, as conjectured recently by V. Goryunov, is proved.
David Mond +3 more
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Path integral complexity and Kasner singularities [PDF]
Journal of High Energy Physics, 2022 AbstractWe explore properties of path integral complexity in field theories on time dependent backgrounds using its dual description in terms of Hartle-Hawking wavefunctions. In particular, we consider boundary theories with time dependent couplings which are dual to Kasner-AdS metrics in the bulk with a time dependent dilaton. We show that holographic
Pawel Caputa, Diptarka Das, Sumit R. Das
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Deformations of functions and F-manifolds [PDF]
, 2004 We study deformations of functions on isolated singularities. A unified proof of the equality of Milnor and Tjurina numbers for functions on isolated complete intersections singularities and space curves is given.
De Gregorio, Ignacio +1 more
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Light strings and strong coupling in F-theory
Journal of High Energy Physics, 2023 We consider 4d N $$ \mathcal{N} $$ = 1 theories arising from F-theory compactifications on elliptically-fibered Calabi-Yau four-folds and investigate the non-perturbative structure of their scalar field space beyond the large volume/large complex ...
Max Wiesner
doaj +1 more source
CONFINEMENT AND COMPLEX SINGULARITIES IN QED3 [PDF]
Color Confinement and Hadrons, 1996 The standard approximations of the Dyson--Schwinger equation lead to complex singularities of the fermion propagator. In three-dimensional QED one can show that this phenomenon might be related to confinement: a confining potential leads to mass-like singularities at complex momenta, and thus to the absence of a mass singularity on the real timelike ...
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this article we obtain the geometric classification of singularities, finite and infinite, for the two subclasses of quadratic differential systems with total finite multiplicity $m_f=4$ possessing exactly three finite singularities, namely: systems ...
Joan Artés +3 more
doaj +1 more source
Differential forms on free and almost free divisors [PDF]
, 2000 We introduce a variant of the usual Kähler forms on singular free divisors, and show that it enjoys the same depth properties as Kähler forms on isolated hypersurface singularities.
Mond, D. (David)
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Del Pezzo Singularities and SUSY Breaking
Advances in High Energy Physics, 2011 An analytic construction of compact Calabi-Yau manifolds with del Pezzo singularities is found. We present complete intersection CY manifolds for all del Pezzo singularities and study the complex deformations of these singularities.
Dmitry Malyshev
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