寻求平衡:修补双重和例外场论
Seeking the balance: Patching double and exceptional field theories
摘要:
我们研究了双重和例外场论的修补。在双场论中,强截面条件解出后对时空施加的修补条件意味着3-形式场强$H$是精确的。对于例外场论的形式场强,在对附加坐标的转移函数与形式场强的修补数据之间的关系作了一些粗略的假设后,也可以得到类似的结论。我们说明出现的问题,并探讨几种替代方案,其中包括引入C-折叠和拓扑几何条件。
英文摘要:
We investigate the patching of double and exceptional field theories. In double field theory the patching conditions imposed on the spacetime after solving the strong section condition imply that the 3-form field strength $H$ is exact. A similar conclusion can be reached for the form field strengths of exceptional field theories after some plausive assumptions are made on the relation between the transition functions of the additional coordinates and the patching data of the form field strengths. We illustrate the issues that arise, and explore several alternative options which include the introduction of C-folds and of the topological geometrisation condition.
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