The 2 variation formula of the Seiberg-Witten functional is obtained in order to estimate the Morse index of redutible solutions (A, 0). It is shown that their Morse index is given by the dimension of the largest negative eigenspace of the operator △A + kg 4 , hence it is finite.

Touch is one of the most essential elements of human development, a profound method of communication, a critical component of the health and growth of infants, and a powerful healing force (Bowlby, 1952; Harlow, 1971, 1986). Ample research has demonstrated that tactile stimulation is extremely important for development and maintenance of physiological and psychological regulation in infants, ch...

I. Nagy1,2 and I. Aldazabal2,3 1Department of Theoretical Physics, Institute of Physics, Technical University of Budapest, H-1521 Budapest, Hungary 2Donostia International Physics Center DIPC, P. Manuel de Lardizabal 4, E-20018 San Sebastián, Spain 3Centro de Fı́sica de Materiales (CSIC-UPV/EHU) MPC, P. Manuel de Lardizabal 3, E-20018 San Sebastián, Spain (Received 28 January 2010; published 7 M...

The algebraic definition of charges for symmetry-preserving D-branes in WessZumino-Witten models is shown to coincide with the geometric definition, for all simple Lie groups. The charge group for such branes is computed from the ambiguities inherent in the geometric definition.

We construct a natural L-metric on the perturbed Seiberg-Witten moduli spaces Mμ+ of a compact 4-manifold M , and we study the resulting Riemannian geometry of Mμ+ . We derive a formula which expresses the sectional curvature of Mμ+ in terms of the Green operators of the deformation complex of the Seiberg-Witten equations. In case M is simply connected, we construct a Riemannian metric on the S...

This paper investigates the solutions of two-point fuzzy boundary value problems as the form x′′ = f(t, x(t)), x(0) = A and x(l) = B, where A and B are fuzzy numbers. There are four different solutions for the problems when the lateral type of H-derivative is employed to solve the problems. As f(t, x) is a monotone function of x, these four solutions are reduced to two different solutions. As f...