标题： 非相对论极限的玻色子和杂化双场理论 显示英文标题

标题： Non-Relativistic Limits of Bosonic and Heterotic Double Field Theory

摘要： 已知超引力普遍NS-NS部分的弦论非相对论（NR）极限由于来自度规和$B$-场的发散部分的非平凡抵消而具有有限的拉格朗日量。 我们在双重场理论（DFT）和广义几何中证明，这些抵消已经在广义度规的层面发生，该度规在极限$c \rightarrow \infty$下是收敛的，这意味着可以在求解强约束之前施加NR极限。 我们给出了广义度规的$c$展开，该展开在（有限）主导阶次上再现了DFT的非黎曼形式，以及广义框架的$c$展开，该展开包含发散项。 我们还将这种方法扩展到杂化DFT的非阿贝尔规范场，假设O$(D,D+n)$广义度规有一个收敛展开。 从这个提议出发，我们推导出杂化超引力玻色部分的一个新$c$展开，该展开通过构造与O$(D,D)$对称性相容。 显示英文摘要

摘要： The known stringy non-relativistic (NR) limit of the universal NS-NS sector of supergravity has a finite Lagrangian due to non-trivial cancellations of divergent parts coming from the metric and the $B$-field. We demonstrate that in Double Field Theory (DFT) and generalised geometry these cancellations already happen at the level of the generalised metric, which is convergent in the limit $c \rightarrow \infty$, implying that the NR limit can be imposed before solving the strong constraint. We present the $c$-expansion of the generalised metric, which reproduces the Non-Riemannian formulation of DFT at the (finite) leading order, and the $c$-expansion of the generalised frame, which contains divergences. We also extend this approach to the non-Abelian gauge field of Heterotic DFT assuming a convergent expansion for the O$(D,D+n)$ generalised metric. From this proposal, we derive a novel $c$-expansion for the bosonic part of the heterotic supergravity which is, by construction, compatible with O$(D,D)$-symmetry.