Twisted K-theory and its application to String Theory and Conformal Field Theory [ 2002-01-01 - 2005-12-31 ]

Research Grant

Researchers: Mathai Varghese (Chief Investigator) ,  Peter Bouwknegt (Chief Investigator)

Brief description Twisted K-theory and its application to String Theory and Conformal Field Theory. String Theory is, at present, the only consistent theory of quantum gravity. Recently, twisted K-theory was proposed as the algebraic structure underlying the classification of D-branes, i.e. solitonic extended objects, in certain closed string backgrounds. In this project we aim to advance our understanding of the properties of twisted K-theory in the context of String Theory and Conformal Field Theory. The ultimate goal is to find the appropriate K-theory classifying D-branes in arbitrary closed string backgrounds or, similarly, classifying boundary Conformal Field Theories. It has already emerged that the K-theory of C*-algebras will play an important role.

Funding Amount $240,000

Funding Scheme Discovery Projects

View this grant in the ARC Data Portal