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arXiv · 1501.01024

T-duality as coordinates permutation in double space

B. Sazdović
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Abstract

We introduce the $2D$ dimensional double space with the coordinates $Z^M= (x^μ, y_μ)$ which 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 places 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 and that complete set of T-duality transformations form subgroup of the $2D$ permutation group. So, in the double space we are able to represent the backgrounds of all T-dual theories in unified manner.

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B. Sazdović. 2017-02-08. T-duality as coordinates permutation in double space. https://doi.org/10.1088/1674-1137%2F41%2F5%2F053101

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