Definition Of Physical Symmetries in Noncommutative Space Time and Its Physical Applications
We have investigated space-time symmetric features of non-commutative space. We have also attempted to construct a supergravity model on non-commutative space. We realize that the theory should be superconformal due to the requirements imposed by the gauge theoretical limitations. We have also analysed some of the features of nonasssociative product which appear in the dynamics of closed and open string moving on a curved background. In this context, we discuss the effect of nonassociative Kontsevich product on the gauge invariance. We have applied the Kontsevich product to the gauge transformations of Ricci scalar and some other elements of gravity. We find that the gauge invariance must be restored because Kontsevich product or any other non-associative product is not loyal to the gauge invariance.
In the second part of the thesis, we demonstrate that when Scherk-Schwarz twist is imposed on the theory, S-duality still survives between heterotic and type IIA theory in four dimensions. We have type IIA theory obtained by dimensional reduction from 6-dimensional theory when T^2 space has an SS twist. We also have heterotic theory obtained from the same six dimensional theory when T^2 space had a similar but different SS twist. We showed that one can establish a massive S-Duality between these two theories. Also we demonstrated that the resulting theory can be put in a gauge supergravity formalism, the most general form of which is given by Schön and Weidner .
CIKIT Serpil
Danışman : Prof. Dr. K. Gediz AKDENİZ
Anabilim Dalı : Fizik
Programı : Atom ve Molekül Fiziği
Mezuniyet Yılı : 2014
Tez Savunma Jürisi : Prof. Dr. K. Gediz AKDENİZ
Prof. Dr. Nurten ÖNCAN
Prof. Dr. Handan GÜRBÜZ
Prof. Dr. Oya OĞUZ
Prof. Dr. Gönül BAŞAR
Dostları ilə paylaş: | 
