Titlebook: Instanton Counting, Quantum Geometry and Algebra; Taro Kimura Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive l

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Taro Kimuraice against the operators of the DNSChanger botnet stated that the botnet operators stole approximately US $14 million [., .] over two years. Using monetization tactics similar to DNSChanger, several large botnets (i.e., ZeroAccess and TDSS/TDL4) abuse the ad ecosystem at scale. In order to understa

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Supergroup Gauge Theoryeedom. Although it is typically considered as a global symmetry of QFT, there are several situations where we should consider a local supergroup symmetry, e.g., supergravity is interpreted as gauge theory with super-Poincaré group symmetry.

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Seiberg–Witten Geometry This geometric point of view gives rise to various interesting insights on gauge theory, including dualities in gauge theory, the brane dynamics in string/M-theory, connections with integrable system, etc. In this Chapter, we start with description of the low energy behavior of 4d . gauge theory, a

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Quantization of Geometrycurve, called the Seiberg–Witten curve, geometrically encodes the information about the prepotential of . theory. In this Chapter, we show how to obtain such an algebraic object from the microscopic path integral formalism together with the instanton counting described in Part I.

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Operator Formalism of Gauge Theoryatics. One of the key ingredients in such aspects is the non-perturbative symmetry of gauge theory incorporated by instantons, i.e., covariance of path integral partition function under the adding/removing-instanton operation. In general, symmetry of the system is rephrased as the invariance (covari

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ses. For the possibility of using the method in the development of corona discharge detection devices, the methods for non-rusting and overloading devices were developed. The method of acoustic detection of corona discharge occurrence is shown to be advantageous—it is possible to detect corona disch