Results 11 to 20 of about 36,311 (322)
Noncommutative Deformations of Type-A Kleinian Singularities
Journal of Algebra, 1993 Let \(k\) be an algebraically closed field of characteristic zero. The author studies noncommutative \(k\)-algebras generated by the elements \(a,b\) and \(h\) satisfying the relations \(ha - ah = a\), \(hg - bh = -b\), \(ba = v(h)\), \(ab = v(h - 1)\), where \(v(x)\) is a polynomial with coefficients in \(k\).
Timothy J Hodges
openaire +4 more sources
On Multivariate Picard–Fuchs Systems and Equations
J, 2023 In this paper, we studied the Picard–Fuchs systems and equations which appear in the theory of Gauss–Manin systems and connections associated with deformations of isolated singularities. Among other things, we describe some interesting properties of such
Alexander G. Aleksandrov
doaj +1 more source
Coulomb and Higgs branches from canonical singularities. Part 0
Journal of High Energy Physics, 2021 Five- and four-dimensional superconformal field theories with eight supercharges arise from canonical threefold singularities in M-theory and Type IIB string theory, respectively.
Cyril Closset +2 more
doaj +1 more source
Rank-two 5d SCFTs from M-theory at isolated toric singularities: a systematic study
Journal of High Energy Physics, 2020 We carry out a detailed exploration of the deformations of rank-two five-dimensional superconformal field theories (SCFTs) T X $$ {\mathcal{T}}_{\mathbf{X}} $$ , which are geometrically engineered by M-theory on the space transverse to isolated toric ...
Vivek Saxena
doaj +1 more source
Multi-planarizable quivers, orientifolds, and conformal dualities
Journal of High Energy Physics, 2023 We study orientifold projections of families of four-dimensional N $$ \mathcal{N} $$ = 1 toric quiver gauge theories. We restrict to quivers that have the unusual property of being associated with multiple periodic planar diagrams which give rise, in ...
Antonio Amariti +5 more
doaj +1 more source
Singularity categories of deformations of Kleinian singularities [PDF]
Algebra & Number Theory, 2020 Let $G$ be a finite subgroup of $\text{SL}(2,\Bbbk)$ and let $R = \Bbbk[x,y]^G$ be the coordinate ring of the corresponding Kleinian singularity. In 1998, Crawley-Boevey and Holland defined deformations $\mathcal{O}^ $ of $R$ parametrised by weights $ $.
openaire +3 more sources
Singularities interacting with interfaces incorporating surface elasticity under plane strain deformations [PDF]
Theoretical and Applied Mechanics, 2014 We consider problems involving singularities such as point force, point moment, edge dislocation and a circular Eshelby’s inclusion in isotropic bimaterials in the presence of an interface incorporating surface/interface elasticity under plane ...
Wang Xu, Schiavone Peter
doaj +1 more source
Mass deformations of unoriented quiver theories
Journal of High Energy Physics, 2020 We study the interplay between mass deformations and unoriented projections of super-conformal quiver gauge theories resulting from D3-branes at (toric) Calabi-Yau singularities.
Massimo Bianchi +3 more
doaj +1 more source
Small deformations of normal singularities [PDF]
Mathematische Annalen, 1986 The author studies the behavior, under deformations, of normal analytic singularities and their numerical invariants. Let \(\pi: (X,x)\to (C,0)\) be a germ of deformation of normal isolated singularity of relative dimension \(n\geq 2\) with the singular locus S over a one-dimensional parameter space C.
openaire +1 more source
Direct numerical evaluation of multi-loop integrals without contour deformation
European Physical Journal C: Particles and Fields, 2022 We propose a method for computing numerically integrals defined via $$i \epsilon $$ i ϵ deformations acting on single-pole singularities. We achieve this without an explicit analytic contour deformation. Our solution is then used to produce precise Monte
Roberto Pittau, Bryan Webber
doaj +1 more source