NGST · Noncommutative geometry in string theory
6РП — Действия „Мария Кюри“
- Период
- 2004-06-01 → 2006-05-31
- Финансиране от ЕС
- 162 562 €
- Участници
- 1
- Схема
- EIF
Линиите свързват координатора с партньорите.
Накратко на български
Математическите аспекти на теорията на струните се изследват чрез некомутативната геометрия. Това помага да се разбере как теоретичната физика променя класическата диференциална геометрия.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Final Activity Report Summary - NGST (Noncommutative Geometry in String Theory)
The intention of the project has been to explore the mathematical aspects of string theory, in particular those related to noncommutative geometry. The fellow obtained very interesting results related to the generalised geometry which has been recently introduced by Nigel Hitchin. In a way it shows that string theory requires the modification of 'classical' differential geometry. Indeed this is the point where the concepts of theoretical physics have a big impact on the development of modern geometry.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
The project explores the emerging role of methods of non-commutative geometry in string theory and string field theory. The applicant has a background in physics especially string theory and by beating to the quantum groups and non-commutative geometry section at Queen Mary, University of London, will be able to acquire the necessary mathematical tools also.At the moment, there are several specific points of contact where string theorists have noted the presence of non-commutative geometries such as the Connes-Rieffel non com-mutative torus, but the systematic use of concrete non-commutative geometry methods such as those coming from quantum groups, bicovariant calculi on quantum groups and their homogenous spaces, as well as deeper aspects of the operator theory approach has not been developed in any detail, mainly because of the large gulf in the expertise between string theorists and those who work on such non-commutative methods.What has been done so far, mainly in the operator K-theory methods applied to string theory h as already proven very interesting at the topological level, with physical interpretations or Monta equivalence etc., but the more (non-commutative) differential aspects are still in early stages. In fact for effective computations and model building physicists need to develop much more concrete tools as well as to understand the physical meaning of the mathematical concepts for Planck scale physics.Again, the first indications are that non-commutative geometry and specific models of spacetime built using quantum group and other methods will be the way to extract first corrections to classical gravity in quantum gravity models including string ones. As such models show, even though Planck scale effects are fantastically small, their modification to the basic structure of spacetime can accumulate to, in principle, detectable levels in cosmological models.
Оригинален текст от CORDIS (на английски).
Участници
- QUEEN MARY AND WESTFIELD COLLEGE - UNIVERSITY OF LONDON · LONDONКоординаторОбединеното кралство
Връзки
Данни: CORDIS, © Европейски съюз