Conformal chiral boson models on twisted doubled tori and non-geometric string vacua
Conformal chiral boson models on twisted doubled tori and non-geometric string vacua
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扭曲双环面和非几何弦真空上的共形手性玻色子模型
DOI：
10.1016/j.nuclphysb.2009.11.003
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
N. Prezas
中科院分区：
文献类型：
--
作者：
S. D. Avramis;J. Derendinger;N. Prezas
我们推导并分析了描述非几何弦理论背景的对偶对称相互作用手征玻色子σ模型的量子共形不变性和洛伦兹不变性的条件。用背景场方法计算了一般情况下的单圈外尔和洛伦兹反常。随后，我们的结果被应用到一类（在壳）洛伦兹不变的手征玻色子模型，这是基于扭曲的双环面。我们的研究结果与有效超引力方法的预期结果一致，从而坚定地确立了所考虑的手征玻色子模型提供了N=4规范超引力与电规范的弦世界表描述。此外，他们证明了扭曲的双环面确实是一个大类的非几何弦紧化的双重内部几何。对于紧凑的规范相关联的手征玻色子模型是自动共形的，这一事实是通过显示它们实际上是伪装的手征WZW模型来解释的。
We derive and analyze the conditions for quantum conformal and Lorentz invariance of the duality symmetric interacting chiral boson sigma-models, which are conjectured to describe non-geometric string theory backgrounds. The one-loop Weyl and Lorentz anomalies are computed for the general case using the background field method. Subsequently, our results are applied to a class of (on-shell) Lorentz invariant chiral boson models which are based on twisted doubled tori. Our findings are in agreement with those expected from the effective supergravity approach, thereby firmly establishing that the chiral boson models under consideration provide the string worldsheet description of N=4 gauged supergravities with electric gaugings. Furthermore, they demonstrate that twisted doubled tori are indeed the doubled internal geometries underlying a large class of non-geometric string compactifications. For compact gaugings the associated chiral boson models are automatically conformal, a fact that is explained by showing that they are actually chiral WZW models in disguise.