Two experiments examined the relationship between emerging sitting ability and sensitivity to symmetry as a cue to figure-ground (FG) assignment in 6.5-month-old infants (N = 80). In each experiment, infants who could sit unassisted (as indicated by parental report in Experiment 1 and by an in-lab assessment in Experiment 2) exhibited sensitivity to symmetry as a cue to FG assignment, whereas n...

We study the generation of vector meson masses in the Hidden Local Symmetry (HLS) model of low energy QCD. After demoting the HLS to a hidden global symmetry (HGS), the ρ is explicitly shown to be massless for any value of the HS parameter a and the chiral partner of the pion appears as the Goldstone boson associated with the spontaneous breaking of the HGS, closely resembling the predictions o...

Mirror symmetry, a three dimensional $\mathcal{N}=4$ IR duality, has been studied in detail for quiver gauge theories of the $ADE$-type (as well as their affine versions) with unitary groups. The $A$-type quivers (also known linear quivers) and associated mirror dualities have particularly simple realization terms Type IIB system D3-D5-NS5-branes. In this paper, we present systematic field theo...

In this work, we provide an estimate of the Morse index radially symmetric sign changing bounded weak solutions u to semilinear fractional Dirichlet problem(−Δ)su=f(u) in B,u=0in RN∖B, where s∈(0,1), B⊂RN is unit ball centered at zero and nonlinearity f class C1. We prove that for s∈(1/2,1) any solution above problem has a greater than or equal N+1. If s∈(0,1/2], same conclusion holds under add...

Abs t r ac t . Let 7) be a Hermitian symmetric space of tube type, S its Shilov boundary and G the neutral component of the group of bi-holomorphic diffeomorphisms of 7). In the model situation 7) is the Siegel disc, S is the manifold of Lagrangian subspaces and G is the symplectic group. We introduce a notion of transversality for pairs of elements in S, and then study the action of G on the s...

Motivated by the recent growing interest in field of $\mathcal{P}\mathcal{T}$-symmetric Hamiltonian systems we theoretically study emergency singularities called Exceptional Points ($\textit{EP}$s) eigenspectrum pseudo-Hermitian as strength Hermiticity-breaking terms turns on. Using general symmetry arguments, characterize separate energy levels a topological $\mathbb{Z}_2$ index which correspo...

The character table of the fully nonrigid water cluster (cyclic forms), (H_{2}O){_i}, with C{_ih} symmetry derived for the first time, for 2<=i <=6. The group of all feasible permutations is the wreath product of groups S{_i}[S{_2}] which consists of i!2i operations for i = 2, ..., 6 divided into ( w.r.t) 5, 10, 20, 36, 65 conjugacy classes and 5, 10, 20, 36, 65 irreducible representations resp...

A centrosymmetric multilayer stack of two transparent thin-film materials, which is embedded in a high-index prism, is designed to function as an efficient polarizer or polarizing beam splitter (PBS) under conditions of frustrated total internal reflection over an extended range of incidence angles. The S(LH)(k)LHL(HL)(k)S multilayer structure consists of a high-index center layer H sandwiched ...

Light-Front quark model spin wave functions are employed to calculate the three independent couplings gΣcΛcπ, fΛc1Σcπ and fΛc1Σcπ of S-wave to S-wave and P-wave to S-wave one-pion transitions. It is found that gΣcΛcπ = 6.81 MeV , fΛc1Σcπ = 1.16 and fΛc1Σcπ = 0.96 × 10−4 MeV. We also predict decay rates for specific strong transitions of charmed baryons. In the heavy quark limit, the spin and pa...