We show that the anomalous contribution to the central charge of the 1+1-dimensional N=1 supersymmetric kink that is required for BPS saturation at the quantum level can be linked to an analogous term in the extra momentum operator of a 2+1-dimensional kink domain wall with spontaneous parity violation and chiral domain wall fermions. In the quantization of the domain wall, BPS saturation is pr...

We consider domain walls obtained by embedding the 1+1-dimensional φ-kink in higher dimensions. We show that a suitably adapted dimensional regularization method avoids the intricacies found in other regularization schemes in both supersymmetric and non-supersymmetric theories. This method allows us to calculate the one-loop quantum mass of kinks and surface tensions of kink domain walls in a v...

For most discretizations of the phi4 theory, the stationary kink can only be centered either on a lattice site or midway between two adjacent sites. We search for exceptional discretizations that allow stationary kinks to be centered anywhere between the sites. We show that this translational invariance of the kink implies the existence of an underlying one-dimensional map phi(n+1) =F (phi(n)) ...

In this paper, a type of fully nonlinear Sine-Gordon equations and the approximate Sine-Gordon equation (under the condition: |up|is very small) are studied.Through proper transformation, some initial value problems of many equations with special nonlinear terms are solved by the Adomian decomposition method and some exact solutions: kink solution ,compacton solution, multi-compacton solution, ...

The Japanese economy experienced very rapid growth in the 1960s, but this growth significantly decelerated in the early 1970s. It is generally accepted that the growth potential underwent a ‘kink’, though the reason for this is still actively debated. Then, the economy showed a real growth rate of around 5 per cent on average for about 20 years. In the 1990s, however, the economy has been quite...

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Atomically resolved dynamic force microscopy ~DFM! images of step and kink sites of NaCl films grown on the Cu~111! surface are presented. Combining experimental results with an atomistic modeling of DFM imaging, we study the mechanism of contrast formation and extract more information about the tip and NaCl film structure. The experimental results and theoretical modeling systematically demons...

We review our work of the past decade on one-loop quantum corrections to the mass M and central charge Z of solitons in supersymmetric field theories: the kink, the vortex, and the monopoles (focussing on the kink and the monopoles here). In each case a new feature was needed to obtain BPS saturation: a new anomaly-like contribution to Z for the kink and the N = 2 monopole, the effect of classi...

In this paper we report multifrequency single pulse polarization observations of the PSR B0329+54 normal mode using the Giant Meterwave Radio Telescope at 325 and 610 MHz and the Effelsberg Observatory at 2695 MHz. Our observations show that towards the central part of the polarization position-angle traverse there is an unusual “arc”-like structure, which is comprised of a broadband “kink” and...