Hohm Olaf
Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, New York 11794-3636, USA.
Phys Rev Lett. 2017 Mar 31;118(13):131601. doi: 10.1103/PhysRevLett.118.131601. Epub 2017 Mar 30.
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.
闭弦理论在环面上展现出(O(D,D))对偶对称性，在双场论中，这种对称性在紧致化之前就已显现。我证明，在(\alpha^{'})的一阶近似下，不存在一个基于度规、(b)场和伸缩子的明显与背景无关且对偶不变的玻色弦理论表述。为此，我利用围绕平坦空间的(O(D,D))不变二阶微扰理论，表明在(\alpha^{'})阶规范代数的唯一与背景无关的候选表达式与雅可比恒等式不一致。相反，对于受(\alpha^{'})变形框架变换（广义格林 - 施瓦茨变换）约束的框架变量，存在一个与背景无关的表述。文中还讨论了在弯曲背景（如宇宙学中）的潜在应用。
