The Seiberg-Witten Kahler Potential as a Two-Sphere Partition Function

Recently it has been shown that the two-sphere partition function of a gauged linear sigma model of a Calabi-Yau manifold yields the exact quantum Kahler potential of the Kahler moduli space of that manifold. Since four-dimensional N=2 gauge theories can be engineered by non-compact Calabi-Yau threefolds, this implies that it is possible to obtain exact gauge theory Kahler potentials from two-sphere partition functions. In this paper, we demonstrate that the Seiberg-Witten Kahler potential can indeed be obtained as a two-sphere partition function. To be precise, we extract the quantum Kahler metric of 4D N=2 SU(2) Super-Yang-Mills theory by taking the field theory limit of the Kahler parameters of the O(-2,-2) bundle over P1 x P1. We expect this method of computing the Kahler potential to generalize to other four-dimensional N=2 gauge theories that can be geometrically engineered by toric Calabi-Yau threefolds.Comment: 12 pages + appendix; v2: minor corrections, reference adde

Optimization Methods for Designing Sequences with Low Autocorrelation Sidelobes

Unimodular sequences with low autocorrelations are desired in many applications, especially in the area of radar and code-division multiple access (CDMA). In this paper, we propose a new algorithm to design unimodular sequences with low integrated sidelobe level (ISL), which is a widely used measure of the goodness of a sequence's correlation property. The algorithm falls into the general framework of majorization-minimization (MM) algorithms and thus shares the monotonic property of such algorithms. In addition, the algorithm can be implemented via fast Fourier transform (FFT) operations and thus is computationally efficient. Furthermore, after some modifications the algorithm can be adapted to incorporate spectral constraints, which makes the design more flexible. Numerical experiments show that the proposed algorithms outperform existing algorithms in terms of both the quality of designed sequences and the computational complexity

Drought Resistance Analysis of the North Sulawesi Local Rice Based on the Root Characters Nio Song Ai, Ludong Daniel Peter Mantilen

Rice is one of the important staple foods in Indonesia with carbohydrate as its major component. Rice germplasm is so diverse in Indonesia including in North Sulawesi Province, which has 4 local rice cultivars, i.e Superwin, Ombong, Temo and Burungan. Regarding with the food security program in this province as well as in Indonesia, a study was conducted to evaluate root characters (the number of adventitious roots, maximum root length, root dry mass, root:shoot ratio, the number of hardpan penetrated roots) as response to drought in these North-Sulawesi local rice cultivars grown in the soil mixture at the vegetative phase. The drought treatment consisted of three different intensities (watering until 100% field capacity/DA, watering until 50% field capacity/½TA and no watering/TA) for 2 weeks in the glasshouse experiment using polyvinyl chloride (PVC) pots with 125 mm height and 60 mm diameter. In general, the drought treatment decreased the number of adventitious roots, root dry mass, and root:shoot ratio The roots of Temo and Burungan were able to penetrate the hardpan (mixture of paraffin and vaseline that was equal to 12 bar hardness) under drought, but the capacities were low. Based on the root characters, Temo and Burungan had higher drought resistance than the other cultivars. The results of this research enriched the information of drought resistant rice selection that was easy, cheap and fast in the plant breeding program in North Sulawesi