Results 11 to 20 of about 1,193 (68)
Infinite Symmetry in the Quantum Hall Effect
, 1992 Free planar electrons in a uniform magnetic field are shown to possess the symmetry of area-preserving diffeomorphisms ($W$-infinity algebra). Intuitively, this is a consequence of gauge invariance, which forces dynamics to depend only on the flux.
Alvarez-Gaume +51 more
core +1 more source
Geometric structures on the complement of a projective arrangement [PDF]
, 2003 Consider a complex projective space with its Fubini-Study metric. We study certain one parameter deformations of this metric on the complement of an arrangement (=a finite union of hyperplanes) whose Levi-Civita connection is of Dunkl type--interesting ...
Couwenberg, Wim +2 more
core +5 more sources
Loss Behavior in Supervised Learning With Entangled States
Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl +4 more
wiley +1 more source
A twisted conformal field theory description of the Quantum Hall Effect
, 1999 We construct an effective conformal field theory by using a procedure which induces twisted boundary conditions for the fundamental scalar fields. That allows to describe a quantum Hall fluid at Jain hierarchical filling, nu=m/(2pm+1), in terms of one ...
Cristofano G. +7 more
core +1 more source
Supermanifolds, Rigid Manifolds and Mirror Symmetry [PDF]
, 1994 By providing a general correspondence between Landau-Ginzburg orbifolds and non-linear sigma models, we find that the elusive mirror of a rigid manifold is actually a supermanifold.
Alvarez-Gaumé +36 more
core +2 more sources
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
Group Theory of Non-Abelian Vortices
, 2010 We investigate the structure of the moduli space of multiple BPS non-Abelian vortices in U(N) gauge theory with N fundamental Higgs fields, focusing our attention on the action of the exact global (color-flavor diagonal) SU(N) symmetry on it.
A Gorsky +49 more
core +1 more source
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 364-394, March 2026.ABSTRACT Latent Gaussian models (LGMs) are a subset of Bayesian Hierarchical models where Gaussian priors, conditional on variance parameters, are assigned to all effects in the model. LGMs are employed in many fields for their flexibility and computational efficiency. However, practitioners find prior elicitation on the variance parameters challenging
Luisa Ferrari, Massimo Ventrucci
wiley +1 more source
Level Spacings for Integrable Quantum Maps in Genus Zero
, 2000 We consider the eigenvalue pair correlation problem for certain integrable quantum maps on the 2-sphere. The classical maps are time one maps of Hamiltonian flows of perfect Morse functions.
Zelditch, Steve
core +1 more source
Typical dynamics of plane rational maps with equal degrees [PDF]
, 2016 Let $f:\mathbb{CP}^2\dashrightarrow\mathbb{CP^2}$ be a rational map with algebraic and topological degrees both equal to $d\geq 2$. Little is known in general about the ergodic properties of such maps.
Diller, Jeffrey +2 more
core +2 more sources