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Superconformal Index on RP2 ? S1 and 3D Mirror Symmetry, Tanaka


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Автор: Tanaka
Название:  Superconformal Index on RP2 ? S1 and 3D Mirror Symmetry
ISBN: 9789811013966
Издательство: Springer
Классификация:



ISBN-10: 9811013969
Обложка/Формат: Hardback
Страницы: 83
Вес: 0.32 кг.
Дата издания: 2016
Серия: Springer Theses
Язык: English
Издание: 1st ed. 2016
Иллюстрации: XII, 83 p.
Размер: 234 x 156 x 10
Читательская аудитория: General (us: trade)
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The author introduces the supersymmetric localization technique, a new approach for computing path integrals in quantum field theory on curved space (time) defined with interacting Lagrangian. The author focuses on a particular quantity called the superconformal index (SCI), which is defined by considering the theories on the product space of two spheres and circles, in order to clarify the validity of so-called three-dimensional mirror symmetry, one of the famous duality proposals. In addition to a review of known results, the author presents a new definition of SCI by considering theories on the product space of real-projective space and circles. In this book, he explains the concept of SCI from the point of view of quantum mechanics and gives localization computations by reducing field theoretical computations to many-body quantum mechanics. He applies his new results of SCI with real-projective space to test three-dimensional mirror symmetry, one of the dualities of quantum field theory. Real-projective space is known to be an unorientable surface like the Mobius strip, and there are many exotic effects resulting from Z2 holonomy of the surface. Thanks to these exotic structures, his results provide completely new evidence of three-dimensional mirror symmetry.The equivalence expected from three-dimensional mirror symmetry is transformed into a conjectural non-trivial mathematical identity through the new SCI, and he performs the proof of the identity using a q-binomial formula.
Дополнительное описание: Introduction and Summary.- Preliminary — Quantum Mechanics.- Three-dimensional Superconformal index on M2?S1?.- Localization calculous of SCI with M2 = S2.- Localization calculous of SCI with M2 = RP2.- An application: three-dimensional abelian mirror sym



Symmetry

Автор: Stewart Ian
Название: Symmetry
ISBN: 0199651981 ISBN-13(EAN): 9780199651986
Издательство: Oxford Education
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Цена: от 148.00 р.
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Описание: Symmetry is an immensely important concept in mathematics and throughout the sciences. In this Very Short Introduction, Ian Stewart highlights the deep implications of symmetry and its important scientific applications across the entire subject.

Geometric Mechanics - Part I: Dynamics And Symmetry (2Nd Edition)

Автор: Holm Darryl D
Название: Geometric Mechanics - Part I: Dynamics And Symmetry (2Nd Edition)
ISBN: 1848167741 ISBN-13(EAN): 9781848167742
Издательство: World Scientific Publishing
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Цена: 19325.00 р.
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Описание: Introduces the tools and language of modern geometric mechanics to advanced undergraduates and beginning graduate students. This book treats the dynamics of ray optics, resonant oscillators and the elastic spherical pendulum from a unified geometric viewpoint, by formulating their solutions using reduction by Lie-group symmetries.

Molecular Symmetry and Group Theory : A Programmed Introduction to Chemical Applications, 2nd Edition

Автор: Alan Vincent
Название: Molecular Symmetry and Group Theory : A Programmed Introduction to Chemical Applications, 2nd Edition
ISBN: 0471489395 ISBN-13(EAN): 9780471489399
Издательство: Wiley
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Цена: 5219.00 р.
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Описание: This substantially revised and expanded new edition of the bestselling textbook, addresses the difficulties that can arise with the mathematics that underpins the study of symmetry, and acknowledges that group theory can be a complex concept for students to grasp.

Symmetry Analysis of Differential Equations with Mathematica

Название: Symmetry Analysis of Differential Equations with Mathematica
ISBN: 0387985522 ISBN-13(EAN): 9780387985527
Издательство: Springer
Цена: 13969.00 р.
Наличие на складе: Поставка под заказ.

Описание: This is the first book which explicitly uses Mathematica (computer algebra system) to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Heretofore time-consuming and cumbersome calculations if done by hand, are much more easily and quickly performed via the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, should be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. This book contains a large number of working examples relating to these applications of Lie's theory. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which provide users with the capability of directly interacting with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool to perform algebraic computations.


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