$p$-ADICS.2015, 07-12.09.2015, Belgrade, Serbia

Branislav Sazdović## T-duality in string theoryAbstract
We offer new interpretation of T-dualization procedure of the bosonic and of the type IIB
superstring theory in double space framework. We introduce the $2D$ dimensional double space with the
coordinates $Z^M= (x^\mu, y_\mu)$ which components are the
coordinates of initial space $x^\mu$ and its T-dual $y_\mu$.
In this extended space the T-duality transformations are equivalent to the permutation of some coordinates $x^a$, along which we want to perform T-duality
and the corresponding dual coordinates $y_a$. In such approach it is
evident that T-duality leads to the physically equivalent theory.
So, in the double space we are able to represent the backgrounds of all T-dual theories in unified manner. For example, in supersymmetric case such formulation describes both type IIB and type IIA superstring theories. Exchanging odd number of coordinate with the corresponding dual ones we can switch from type IIB to type IIA theory. |