We introduce the 2D dimensional double space with the coordinates Z^M=（x~μ,y_μ）,whose components are the coordinates of initial space x~μ and its T-dual y_μ.We shall show that in this extended space the T-dualit...We introduce the 2D dimensional double space with the coordinates Z^M=（x~μ,y_μ）,whose components are the coordinates of initial space x~μ and its T-dual y_μ.We shall show that in this extended space the T-duality transformations can be realized simply by exchanging the places of some coordinates x^a,along which we want to perform T-duality,and the corresponding dual coordinates y_a.In such an approach it is evident that T-duality leads to the physically equivalent theory and that a complete set of T-duality transformations forms a subgroup of the 2D permutation group.So,in double space we are able to represent the backgrounds of all T-dual theories in a unified manner.展开更多
基金Supported by the Serbian Ministry of Education and Science(171031)
文摘We introduce the 2D dimensional double space with the coordinates Z^M=（x~μ,y_μ）,whose components are the coordinates of initial space x~μ and its T-dual y_μ.We shall show that in this extended space the T-duality transformations can be realized simply by exchanging the places of some coordinates x^a,along which we want to perform T-duality,and the corresponding dual coordinates y_a.In such an approach it is evident that T-duality leads to the physically equivalent theory and that a complete set of T-duality transformations forms a subgroup of the 2D permutation group.So,in double space we are able to represent the backgrounds of all T-dual theories in a unified manner.
