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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields, Arai


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Автор: Arai
Название:  Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields
ISBN: 9789811956775
Издательство: Springer
Классификация:


ISBN-10: 9811956774
Обложка/Формат: Soft cover
Страницы: 117
Вес: 0.22 кг.
Дата издания: 02.11.2022
Серия: SpringerBriefs in Mathematical Physics
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 1 illustrations, black and white; xiii, 117 p. 1 illus.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: An introduction to analysis on boson-fermion fock spaces
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis. The main mathematical objects are infinite-dimensional Dirac operators on the abstract Boson–Fermion Fock space. The target audience consists of graduate students and researchers who are interested in mathematical analysis of quantum fields, including supersymmetric ones, and infinite-dimensional analysis. The major topics are the clarification of general mathematical structures that some models in the SQFT have in common, and the mathematically rigorous analysis of them. The importance and the relevance of the subject are that in physics literature, supersymmetric quantum field models are only formally (heuristically) considered and hence may be ill-defined mathematically. From a mathematical point of view, however, they suggest new aspects related to infinite-dimensional geometry and analysis. Therefore, it is important to show the mathematical existence of such models first and then study them in detail. The book shows that the theory of the abstract Boson–Fermion Fock space serves this purpose. The analysis developed in the book also provides a good example of infinite-dimensional analysis from the functional analysis point of view, including a theory of infinite-dimensional Dirac operators and Laplacians.
Дополнительное описание: 1. Boson Fock Space and Bose Field.- 2. Fermion Fock Space and Fermi Field.- 3. Boson-Fermion Fock Space and Supersymmetric Quantum Fields.- 4. Applications to Models in Supersymmetric Quantum Field Theory.



Differential Geometry through Supersymmetric Glasses

Название: Differential Geometry through Supersymmetric Glasses
ISBN: 9811206775 ISBN-13(EAN): 9789811206771
Издательство: World Scientific Publishing
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Цена: 17424.00 р.
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Описание:

Back in 1982, Edward Witten noticed that classical problems of differential geometry and differential topology such as the de Rham complex and Morse theory can be described in a very simple and transparent way using the language of supersymmetric quantum mechanics. Since then, many research papers have been written on this subject. Unfortunately not all the results in this field known to mathematicians have obtained a transparent physical interpretation, even if this new physical technique has also allowed many mathematical results to be derived which are completely new, in particular, hyper-Kaehler and the so-called HKT geometry. But in almost 40 years, no comprehensive monograph has appeared on this subject. So this book written by an expert in supersymmetric quantum field theories, supersymmetric quantum mechanics and its geometrical applications, addresses this yearning gap.

It comprises three parts: The first, GEOMETRY, gives basic information on the geometry of real, complex, hyper-Kaehler and HKT manifolds, and is principally addressed to the physicist. The second part "PHYSICS" presents information on classical mechanics with ordinary and Grassmann dynamics variables. Besides, the author introduces supersymmetry and dwells in particular on the representation of supersymmetry algebra in superspace. And the last and most important part of the book "SYNTHESIS", is where the ideas borrowed from physics are used to study purely mathematical phenomena.

N=2 Supersymmetric Dynamics for Pedestrians

Автор: Yuji Tachikawa
Название: N=2 Supersymmetric Dynamics for Pedestrians
ISBN: 3319088211 ISBN-13(EAN): 9783319088211
Издательство: Springer
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Цена: 5487.00 р.
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Описание: N=2 Supersymmetric Dynamics for Pedestrians

Supersymmetric Mechanics - Vol. 1

Автор: Stefano Bellucci
Название: Supersymmetric Mechanics - Vol. 1
ISBN: 3642069967 ISBN-13(EAN): 9783642069963
Издательство: Springer
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Цена: 10258.00 р.
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Описание: This is the first volume in a series of books on the general theme of Supersymmetric Mechanics; The selected topics include supersymmetry and supergravity, the attractor mechanism, black holes, fluxes, noncommutative mechanics, super-Hamiltonian formalism and matrix models.

Supersymmetric Mechanics - Vol. 3

Автор: Stefano Bellucci
Название: Supersymmetric Mechanics - Vol. 3
ISBN: 3642098452 ISBN-13(EAN): 9783642098451
Издательство: Springer
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Цена: 11397.00 р.
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Описание: This is the third volume in a series of books on general topics in supersymmetric mechanics. This collection presents material from the well established international and annual INFN-Laboratori Nazionali di Frascati Winter School on the Attractor Mechanism.

Muonium-antimuonium Oscillations in an Extended Minimal Supersymmetric Standard Model

Автор: Boyang Liu
Название: Muonium-antimuonium Oscillations in an Extended Minimal Supersymmetric Standard Model
ISBN: 146142805X ISBN-13(EAN): 9781461428053
Издательство: Springer
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Цена: 11586.00 р.
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Описание: This innovative volume investigates muonium-antimuonium oscillations in an extended, minimal supersymmetric standard model. The text helps establish relationships between the experimental result of the muonium-antimuonium oscillation process and model parameters.

Searches for Supersymmetric Particles in Final States with Multiple Top and Bottom Quarks with the Atlas Detector

Автор: Rizzi Chiara
Название: Searches for Supersymmetric Particles in Final States with Multiple Top and Bottom Quarks with the Atlas Detector
ISBN: 3030528790 ISBN-13(EAN): 9783030528799
Издательство: Springer
Цена: 12196.00 р.
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Описание: This PhD thesis documents two of the highest-profile searches for supersymmetry performed at the ATLAS experiment using up to 80/fb of proton-proton collision data at a center-of-mass energy of 13 TeV delivered by the Large Hadron Collider (LHC) during its Run 2 (2015-2018).

Supersymmetric Grand Unified Theories

Автор: Stuart Raby
Название: Supersymmetric Grand Unified Theories
ISBN: 3319552538 ISBN-13(EAN): 9783319552538
Издательство: Springer
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Цена: 8537.00 р.
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Описание: The Standard Model: background.- The Minimal Supersymmetric Standard Model (MSSM).- Supersymmetric GUTs in 4 space-time dimensions.- SUSY GUTs meets data: LHC, fermion masses and mixing angles, dark matter.- Problems of 4 D SUSY GUTs.- SUSY GUTs in 5 or 6 dimensions: Orbifold GUTs.- SUSY breaking in extra dimensions.- Orbifold GUTs meet data.- SUSY GUTs in string theory: background.- Heterotic orbifold constructions.- Guaranteeing the MSSM, proton decay and precise gauge coupling unification.- Smooth heterotic constructions.- Type II string models and F theory - lectures.- Stabilizing moduli and SUSY breaking.- Cosmology.- Conclusions and Outlook.

Lectures on Fluid Dynamics

Автор: Roman Jackiw
Название: Lectures on Fluid Dynamics
ISBN: 1441929932 ISBN-13(EAN): 9781441929938
Издательство: Springer
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Цена: 13677.00 р.
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Описание: Explains the motivation and reviewing the classical theory in a new form; Discusses conservation laws and Euler equations; For one-dimensional cases, the models presented are completely integrable

Searches for Supersymmetric Particles in Final States with Multiple Top and Bottom Quarks with the Atlas Detector

Автор: Rizzi Chiara
Название: Searches for Supersymmetric Particles in Final States with Multiple Top and Bottom Quarks with the Atlas Detector
ISBN: 3030528766 ISBN-13(EAN): 9783030528768
Издательство: Springer
Рейтинг:
Цена: 12196.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This PhD thesis documents two of the highest-profile searches for supersymmetry performed at the ATLAS experiment using up to 80/fb of proton-proton collision data at a center-of-mass energy of 13 TeV delivered by the Large Hadron Collider (LHC) during its Run 2 (2015-2018).

Supersymmetric Mechanics - Vol. 2

Автор: Stefano Bellucci; Sergio Ferrara; Alessio Marrani
Название: Supersymmetric Mechanics - Vol. 2
ISBN: 3642421113 ISBN-13(EAN): 9783642421112
Издательство: Springer
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Цена: 10258.00 р.
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Описание: This is the first volume in a series of books on the general theme of Supersymmetric Mechanics; This volume supplies a pedagogical introduction, at the non-expert level, to the attractor mechanism in space-time singularities. After a qualitative overview, explicit examples realizing the attractor mechanism are treated at length.

Searches for the Supersymmetric Partner of the Top Quark, Dark Matter and Dark Energy at the Atlas Experiment

Автор: Kцhler Nicolas Maximilian
Название: Searches for the Supersymmetric Partner of the Top Quark, Dark Matter and Dark Energy at the Atlas Experiment
ISBN: 3030259900 ISBN-13(EAN): 9783030259907
Издательство: Springer
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Цена: 13415.00 р.
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Описание: Astrophysical observations implying the existence of Dark Matter and Dark Energy, which are not described by the Standard Model (SM) of particle physics, have led to extensions of the SM predicting new particles that could be directly produced at the Large Hadron Collider (LHC) at CERN.

Geometry of Supersymmetric Gauge Theories

Автор: Francois Gieres
Название: Geometry of Supersymmetric Gauge Theories
ISBN: 3662136775 ISBN-13(EAN): 9783662136775
Издательство: Springer
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Цена: 7978.00 р.
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Описание: This monograph gives a detailed and pedagogical account of the geometry of rigid superspace and supersymmetric Yang-Mills theories.


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