Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Schaer C.H. — Gauge Theories of Gravity and Supergravity
Schaer C.H. — Gauge Theories of Gravity and Supergravity

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Gauge Theories of Gravity and Supergravity

Автор: Schaer C.H.

Аннотация:

Differential geometry and its applications to general relativity and linear gauge theories are first reviewed. A fiber bundle formalism for gravity is developed using spacetime as the base space and the de-Sitter group as the fiber. The de-Sitter group is broken to the Lorentz group, and the translation generators are interlocked with the covariant derivatives. This leads to nonlinear gauge transformations which are equivalent to general coordinate transformations on spacetime. It is found that Einstein's Lagrangian is invariant under these transformations up to a total divergence. Conformal gravity and gravity directly coupled to a Yang-Mills theory are then examined. This formalism is extended to supergravity by extending spacetime to a dimensional superspace and using the orthosymplectic groups OSp(4;N) for the fiber. The geometry of superspace is first discussed. Nonlinear gauge transformations are then derived making use of an interlocking condition, and Lagrangians invariant under these transformation laws up to a total divergence are constructed. Transformation laws for conformal supergravity are also derived. Finally, an alternative to superspace in which the line element of general relativity is maintained is developed. It is argued that the metric on such a space contains just enough fields to possibly be able to include the gravitational, weak, and electromagnetic interactions.


Язык: en

Рубрика: Математика/

Тип: Диссертация

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 1980

Количество страниц: 164

Добавлена в каталог: 13.10.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте