Generalized metric formulation of double field theory on group manifolds
Generalized metric formulation of double field theory on group manifolds
复制标题
群流形上双场论的广义度量公式
DOI：
10.1007/jhep08(2015)056
复制
发表时间：
2015
影响因子：
5.4
通讯作者：
D. Lüst
中科院分区：
文献类型：
--
作者：
R. Blumenhagen;P. Bosque;Falk Hassler;D. Lüst
本文将最近导出的群流形上二重场论的立方作用量[1]用广义度量改写，并外推到场论的所有阶上。对于由此产生的作用，我们推导出场方程，并将它们表示为广义曲率标量和广义Ricci张量。与从环面导出的DFT的广义度量公式相比，所有这些量都得到与非平凡背景相关的额外贡献。证明了该作用在其广义逆同态和二维逆同态下是不变的。施加额外的限制有关的背景和周围的波动，DFTWZW和原来的DFT环面的建议广义度量制定之间的精确关系被澄清。此外，我们展示了如何将DFTWZW的WZW背景与原DFT的通量制剂。
A bstractWe rewrite the recently derived cubic action of Double Field Theory on group manifolds [1] in terms of a generalized metric and extrapolate it to all orders in the fields. For the resulting action, we derive the field equations and state them in terms of a generalized curvature scalar and a generalized Ricci tensor. Compared to the generalized metric formulation of DFT derived from tori, all these quantities receive additional contributions related to the non-trivial background. It is shown that the action is invariant under its generalized diffeomorphisms and 2D-diffeomorphisms. Imposing additional constraints relating the background and fluctuations around it, the precise relation between the proposed generalized metric formulation of DFTWZW and of original DFT from tori is clarified. Furthermore, we show how to relate DFTWZW of the WZW background with the flux formulation of original DFT.
T-对偶性和闭弦非交换（双）几何
影响因子：
5.4
作者：
D. Lüst
通讯作者：
D. Lüst