Twisted K-Theory and T-Duality

Please enable javascript in your browser.

Karami, Moin | 2012

449 Viewed

Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 43617 (02)
University: Sharif University Of Technology
Department: Mathematical Sciences
Advisor(s): Esfahanizadeh, Mostafa
Abstract:
Given an element "H" in H^3 (X,Z), one can define the twisted K-group K(X,H). These groups have been appeared in physics and in particular in String Theory. As an explicit example, we study the twisted K-group of principle circle bundle E. An important notion related is the T-duality. We introduce (E,H), with E a principle circle bundle and H an element in H^3 (E,Z). Under certain circumstances we call (E,H) and (E,H)T-Dual. We study twisted K-theory of dual pair (E,H) and (E,H)
Keywords:
K-Theory ; T Duality ; Twisted K-Theory ; Principle PU(H)-Bundle

No TOC