After the work of Seiberg and Witten, it has been seen that the dynamics of N=2 Yang-Mills theory is governed by a Riemann surface Σ. In particular, the integral of a special differential λSW over (a subset of) the periods of Σ gives the mass formula for BPS-saturated states. We show that, for each simple group G, the Riemann surface is a spectral curve of the periodic Toda lattice for the dual...

We analyze two-center interference effects in the yields of ionization of a dissociating hydrogen molecular ion by an ultrashort vuv laser pulse. To this end, we performed numerical simulations of the time-dependent Schrödinger equation for a H2+ model ion interacting with two time-delayed laser pulses. The scenario considered corresponds to a pump-probe scheme, in which the first (pump) pulse ...

Consider the mapping class group Modg,p of a surface Σg,p of genus g with p punctures, and a finite collection {f1, . . . , fk} of mapping classes, each of which is either a Dehn twist about a simple closed curve or a pseudo-Anosov homeomorphism supported on a connected subsurface. In this paper we prove that for all sufficiently large N , the mapping classes {f 1 , . . . , f k } generate a rig...

Let Σg,b denote a closed oriented surface genus g with b punctures and let Modg,b denote its mapping class group. In [10] Luo proved that if the genus is at least 3, the group Modg,b is generated by involutions. He also asked if there exists a universal upper bound, independent of genus and the number of punctures, for the number of torsion elements/involutions needed to generate Modg,b. Brendl...

We constructed a new global potential energy surface (PES) for the electronic ground state ((1)A') of H2S based on 21,300 accurate ab initio energy points over a large configuration space. The ab initio energies are obtained from multireference configuration interaction calculations with a Davidson correction using basis sets of quadruple zeta quality. The neural network method is applied to fi...

As per journal style, when a display equation takes full width of the column, the equation number (label), goes up of the equation. We are following this style in all JSG articles. So we have ignored the corrections for lines 288-289 and 293-301. Please check whether this is ok. Consider symplectic ruled surfaces M g λ = (Σ g × S 2 , λσ Σg ⊕ σ S 2) such that Σ g has area λ and S 2 has area 1. W...

The importance of explicit examples of Lagrangian submanifolds of moduli spaces is revealed by papers such as [9, 25]: given a 3-manifold M with boundary ∂M = Σ, Dostoglou and Salamon use such examples to obtain a proof of the Atiyah-Floer conjecture relating the symplectic Floer homology of the representation space Hom(π1(Σ = ∂M), U)/U (associated to an explicit pair of Lagrangian submanifolds...

The reaction dynamics of the boron monoxide radical (BO; XΣ) with diacetylene (C4H2; XΣg) were investigated at a nominal collision energy of 17.5 kJ mol−1 employing the crossed molecular beam technique and supported by ab initio and statistical (RRKM) calculations. The reaction is governed by indirect (complex forming) scattering dynamics with the boron monoxide radical adding with its boron at...

Photodetachment cross sections are measured across the detachment threshold of Au2(-) between 1.90 and 2.02 eV using a tunable laser. In addition to obtaining a more accurate electron affinity for Au2 (1.9393 ± 0.0003 eV), we observe eight resonances above the detachment threshold, corresponding to excitations from the vibrational levels of the Au2(-) ground state (X(2)Σu(+)) to those of a meta...

Through the study of the C3(X1Σg (+)) (1)Σg (+)) + He((1)S) astrophysical relevant system using standard (CCSD(T)) and explicitly correlated (CCSD(T)-F12) coupled cluster approaches, we show that the CCSD(T)-F12/aug-cc-pVTZ level represents a good compromise between accuracy and low computational cost for the generation of multi-dimensional potential energy surfaces (PESs) over both intra- and ...