Background Independence and Duality Invariance in String Theory.
Background Independence and Duality Invariance in String Theory.
复制标题
DOI：
10.1103/physrevlett.118.131601
复制
发表时间：
2016-12
影响因子：
8.6
通讯作者：
O. Hohm
中科院分区：
文献类型：
--
作者：
O. Hohm
闭弦理论在环面上表现出O(D，D)对偶对称性，这在双场理论中是在紧致化之前表现出来的。证明了在α^{‘}中，一阶玻色弦理论不存在明显的背景独立和对偶不变的形式。为此，我在平坦空间上用O(D，D)不变二阶摄动理论证明了α^{‘}阶规范代数的唯一背景独立候选式与雅可比恒等式不一致。取而代之的是，对于经历α^{‘}变形的框架变换(广义格林-施瓦茨变换)的框架变量，存在与背景无关的公式。讨论了弯曲背景的潜在应用，如在宇宙学中。
Closed string theory exhibits an O(D,D) duality symmetry on tori, which in double field theory is manifest before compactification. I prove that to first order in α^{'} there is no manifestly background independent and duality invariant formulation of bosonic string theory in terms of a metric, b field, and dilaton. To this end I use O(D,D) invariant second order perturbation theory around flat space to show that the unique background independent candidate expression for the gauge algebra at order α^{'} is inconsistent with the Jacobi identity. A background independent formulation exists instead for frame variables subject to α^{'}-deformed frame transformations (generalized Green-Schwarz transformations). Potential applications for curved backgrounds, as in cosmology, are discussed.