686 research outputs found
N=2 supersymmetric dynamics for pedestrians
No full textUnderstanding the dynamics of gauge theories is crucial, given the fact that all known interactions are based on the principle of local gauge symmetry. Beyond the perturbative regime, however, this is a notoriously difficult problem. Requiring invariance under supersymmetry turns out to be a suitable tool for analyzing supersymmetric gauge theories over a larger region of the space of parameters. Supersymmetric quantum field theories in four dimensions with extended N=2 supersymmetry are further constrained and have therefore been a fertile field of research in theoretical physics for quite some time. Moreover, there are far-reaching mathematical ramifications that have led to a successful dialogue with differential and algebraic geometry. These lecture notes aim to introduce students of modern theoretical physics to the fascinating developments in the understanding of N=2 supersymmetric gauge theories in a coherent fashion. Starting with a gentle introduction to electric-magnetic duality, the author guides readers through the key milestones in the field, which include the work of Seiberg and Witten, Nekrasov, Gaiotto and many others. As an advanced graduate level text, it assumes that readers have a working knowledge of supersymmetry including the formalism of superfields, as well as of quantum field theory techniques such as regularization, renormalization and anomalies. After his graduation from the University of Tokyo, Yuji Tachikawa worked at the Institute for Advanced Study, Princeton and the Kavli Institute for Physics and Mathematics of the Universe. Presently at the Department of Physics, University of Tokyo, Tachikawa is the author of several important papers in supersymmetric quantum field theories and string theory
Mirrors of 3d Sicilian theories
No full textWe consider the compactification of the 6d N=(2,0) theories, or equivalently of M-theory 5-branes, on a punctured Riemann surface times a circle. This gives rise to what we call 3d N=4 Sicilian theories, and we find that their mirror theories are star-shaped quiver gauge theories. We also discuss an alternative construction of these 3d theories through 4d N=4 SYM on a graph, which allows us to obtain the 3d mirror via 4d S-duality
Central charges of Liouville and Toda theories from M5-branes.
No full textWe show that the central charge of the Liouville and Toda theories of type A, D, and E can be reproduced by equivariantly integrating the anomaly eight-form of the corresponding six-dimensional N=(0,2) theories, which describe the low-energy dynamics of M5-branes
INUNDATION SIMULATION AND COUNTERMEASURE STUDY FOR THE NONAMI DISTRICT DUE TO HEAVY RAINFALL IN THE TOKAT REGION
No full text東海豪雨によって名古屋市天白区野並地区で発生した浸水被害を対象とし, 浸水状況を再現するシミュレーションモデルを構築した.次に, このモデルを用いて, いくつかの想定シナリオのもとでの浸水シミュレーションを行い, 浸水被害の原因や対策について考察した.その結果, 計画規模を越えるような豪雨に対処するためには, 排水のネットワーク構造を考えた対策を考えねばならないことが明らかとなった.A simple inundation simulation model is applied to the Nonami district in Nagoya City, and the causes and countermeasures for the urban flood in the Nonami district due to the heavy rainfall in theTokai region in 2000 are studied.The model estimates inundation stages with the continuity equation and the depth-volume relationship for the Nonami district generated from a 10m grid Digital Elevation Model. The computed maximum inundation depth shows a good agreement with the observed inundation depth. By using the model, inundation simulations are carried out under some scenarios. Findings from the simulations are that the maximum inundation depth does not change even if the pump system at the Nonami district worked without failure; the pump system needs more than 2.5 times capacity to cope with the heavy rainfall; and if the Nonami district does not have inflows from the adjacent basins, inundation damage is quite small. The simulation results indicate that a drainage system should manage a network of basin water movement in order to deal with a heavy rainfall beyond a design rainfall.東海豪雨によって名古屋市天白区野並地区で発生した浸水被害を対象とし,浸水状況を再現するシミュレーションモデルを構築した.次に,このモデルを用いて,いくつかの想定シナリオのもとでの浸水シミュレーションを行い,浸水被害の原因や対策について考察した.その結果,計画規模を越えるような豪雨に対処するためには,排水のネットワーク構造を考えた対策を考えねばならないことが明らかとなった.A simple inundation simulation model is applied to the Nonami district in Nagoya City, and the causes and countermeasures for the urban flood in the Nonami district due to the heavy rainfall in theTokai region in 2000 are studied.The model estimates inundation stages with the continuity equation and the depth-volume relationship for the Nonami district generated from a 10m grid Digital Elevation Model. The computed maximum inundation depth shows a good agreement with the observed inundation depth. By using the model, inundation simulations are carried out under some scenarios. Findings from the simulations are that the maximum inundation depth does not change even if the pump system at the Nonami district worked without failure; the pump system needs more than 2.5 times capacity to cope with the heavy rainfall; and if the Nonami district does not have inflows from the adjacent basins, inundation damage is quite small. The simulation results indicate that a drainage system should manage a network of basin water movement in order to deal with a heavy rainfall beyond a design rainfall
UG Framework to Parallelize MIP, MINLP, and ExactIP Solvers
No full textOpen House, ISM in Tachikawa, 2012.6.15統計数理研究所オープンハウス（立川）、H24.6.15ポスター発
The elliptic genus of K3 and the Mathieu group (Research into Finite Groups and their Representations, Vertex Operator Algebras, and Combinatorics)
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