Eloy Camille, Hohm Olaf, Samtleben Henning
Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France.
Institute for Physics, Humboldt University Berlin, Zum Großen Windkanal 6, D-12489 Berlin, Germany.
Phys Rev Lett. 2020 Mar 6;124(9):091601. doi: 10.1103/PhysRevLett.124.091601.
We determine the complete spacetime action to first order in α^{'} for the massless fields of bosonic string theory compactified on a d-dimensional torus. A fully systematic procedure is developed that brings the action into a minimal form in which all fields apart from the metric enter only with first-order derivatives. T duality implies that this action must have a global O(d,d,R) symmetry, and we show that this requires a Green-Schwarz type mechanism for α^{'}-deformed O(d,d,R) transformations. In terms of a frame formalism with GL(d)×GL(d) gauge symmetry this amounts to a modification of the three-form curvature by a Chern-Simons term for composite gauge fields.
我们确定了在(d)维环面上紧致化的玻色弦理论的无质量场在(\alpha^{'})的一阶近似下的完整时空作用量。我们开发了一种完全系统的程序，将作用量转化为一种最小形式，其中除度规外的所有场仅以一阶导数形式出现。(T)对偶性意味着该作用量必须具有全局(O(d,d,\mathbb{R}))对称性，并且我们表明这需要一种用于(\alpha^{'})变形的(O(d,d,\mathbb{R}))变换的格林 - 施瓦茨型机制。就具有(GL(d)\times GL(d))规范对称性的标架形式而言，这相当于通过复合规范场的陈 - 西蒙斯项对三形式曲率进行修改。
