An Introduction to T-Duality in String Theory
نویسندگان
چکیده
In these lectures a general introduction to T-duality is given. In the abelian case the approaches of Buscher, and Roc̆ek and Verlinde are reviewed. Buscher’s prescription for the dilaton transformation is recovered from a careful definition of the gauge integration measure. It is also shown how duality can be understood as a quite simple canonical transformation. Some aspects of non-abelian duality are also discussed, in particular what is known on relation to canonical transformations. Some implications of the existence of duality on the cosmological constant and the definition of distance in String Theory are also suggested. Permanent address: Departamento de F́ısica Teórica, Universidad Autónoma de Madrid, 28049 Madrid, Spain
منابع مشابه
DEVELOPMENT IN STRING THEORY
The string theory is a fast moving subject, both physics wise and in the respect of mathematics. In order to keep up with the discipline it is important to move with new ideas which are being stressed. Here I wish to give extracts from new papers of ideas which I have recently found interesting. There are six papers which are involved: I ."Strings formulated directly in 4 dimensions " A. N...
متن کاملIntroduction to Seiberg-Witten Theory and its Stringy Origin
We give an elementary introduction to the recent solution of N = 2 supersymmetric Yang-Mills theory. In addition, we review how it can be re-derived from string duality. We give an elementary introduction to the recent solution of N = 2 supersymmetric Yang-Mills theory. In addition, we review how it can be re-derived from string duality.
متن کاملDuality in the Type–ii Superstring Effective Action
We derive the T–duality transformations that transform a general d = 10 solution of the type–IIA string with one isometry to a solution of the type–IIB string with one isometry and vice versa. In contrast to other superstring theories, the T–duality transformations are not related to a non-compact symmetry of a d = 9 supergravity theory. We also discuss S–duality in d = 9 and d = 10 and the rel...
متن کاملAn Introduction to Non-perturbative String Theory
In this review I discuss some basic aspects of non-perturbative string theory. The topics include test of duality symmetries based on the analysis of the low energy effective action and the spectrum of BPS states, relationship between different duality symmetries, an introduction to Mand F-theories, black hole entropy in string theory, and Matrix theory. Based on lectures given at the Isaac New...
متن کاملتبدیلات دوگانگی آبلی استاندارد در گرانش f(T)
According to the perturbation order, the equations of motion of low-energy string effective action are the generalized Einstein equations. Thus, by making use of the conformal transformation of the metric tensor, it is possible to map the low-energy string effective action into f(T) gravity, relating the dilaton field to the torsion scalar. Considering a homogeneous and isotropic universe and ...
متن کامل