{"title":"T-Duality of a Bosonic String in a Weakly Curved Space-Time","authors":"Sonja Dedić, Danijel Obrić","doi":"10.1002/prop.202400162","DOIUrl":null,"url":null,"abstract":"<p>In this article, the T-dualization of a 3<i>D</i> closed bosonic string, that is propagating in space-time metric with an infinitesimal linear dependence on the coordinates <i>x</i><sup>μ</sup>, is considered. Other fields, Kalb-Ramond and dilaton fields are set to zero. Action with this configuration of fields is not invariant to translations. In order to find the T-dual theory, a generalization of the Buscher procedure is employed, that can be applied to cases with coordinate dependent fields that do not possess translational isometry. Finally, by using transformation laws that connect coordinates of starting and T-dual theories, authors will be able to examine the geometric structure of T-dual theory.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 9-10","pages":""},"PeriodicalIF":5.6000,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fortschritte Der Physik-Progress of Physics","FirstCategoryId":"101","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/prop.202400162","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, the T-dualization of a 3D closed bosonic string, that is propagating in space-time metric with an infinitesimal linear dependence on the coordinates xμ, is considered. Other fields, Kalb-Ramond and dilaton fields are set to zero. Action with this configuration of fields is not invariant to translations. In order to find the T-dual theory, a generalization of the Buscher procedure is employed, that can be applied to cases with coordinate dependent fields that do not possess translational isometry. Finally, by using transformation laws that connect coordinates of starting and T-dual theories, authors will be able to examine the geometric structure of T-dual theory.
本文考虑了三维封闭玻色弦的 T 二元化问题,该弦在时空度量中传播,对坐标 xμ 具有无限小的线性依赖。其他场、Kalb-Ramond 场和稀释力场均设为零。这种场配置的作用对平移并不不变。为了找到 T 对偶理论,我们采用了布舍尔程序的一般化方法,该方法可应用于不具备平移等效性的坐标相关场的情况。最后,通过使用连接起始理论和 T-二元理论坐标的变换定律,作者将能够研究 T-二元理论的几何结构。
期刊介绍:
The journal Fortschritte der Physik - Progress of Physics is a pure online Journal (since 2013).
Fortschritte der Physik - Progress of Physics is devoted to the theoretical and experimental studies of fundamental constituents of matter and their interactions e. g. elementary particle physics, classical and quantum field theory, the theory of gravitation and cosmology, quantum information, thermodynamics and statistics, laser physics and nonlinear dynamics, including chaos and quantum chaos. Generally the papers are review articles with a detailed survey on relevant publications, but original papers of general interest are also published.