T-duality as permutation of coordinates in double space  

作　　者：B.Sazdovic 

机构地区：[1]Institute of Physics, University of Belgrade, 11001 Belgrade, P.O.Box 57, Serbia

出　　处：《Chinese Physics C》2017年第5期16-25,共10页中国物理C（英文版）

基　　金：Supported by the Serbian Ministry of Education and Science(171031)

摘　　要：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.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.

关 键 词：duality coordinates subgroup permutation unified inverse arbitrary connect exchanging physically 

分 类 号：O4[理学—物理]