Double field theory and $ \mathcal{N} = {4} $ gauged supergravity
Double field theory and $ \mathcal{N} = {4} $ gauged supergravity
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双场论和 $ mathcal{N} = {4} $ 测量的超重力
DOI：
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发表时间：
2011
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通讯作者：
David Geissbühler
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文献类型：
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作者：
David Geissbühler
双场论描述了弦理论的NS-NS部分，并存在于一个双重时空中。该理论有一个局部规范对称性所产生的推广的李导数的双重坐标。为了在这种对称性下保持不变的作用，对场和规范参数施加了微分约束，减少了它们在双重坐标中可能的依赖性。我们进行了Scherk-Schwarz还原的双场论，产生电规范的半极大超引力在四维时，假设可积性条件。紧化理论的剩余对称性映射到有效理论的对称性，并将双场论的微分约束与嵌入张量的代数条件进行了比较.结果表明，只有一个较弱形式的微分约束必须施加在背景场，以确保本地规范对称性的约化作用。
A bstractDouble Field Theory describes the NS-NS sector of string theory and lives on a doubled spacetime. The theory has a local gauge symmetry generated by a generalization of the Lie derivative for doubled coordinates. For the action to be invariant under this symmetry, a differential constraint is imposed on the fields and gauge parameters, reducing their possible dependence in the doubled coordinates. We perform a Scherk-Schwarz reduction of Double Field Theory, yielding electric gaugings of half-maximal supergravity in four dimensions when integrability conditions are assumed. The residual symmetries of the compactified theory are mapped with the symmetries of the effective theory and the differential constraints of Double Field Theory are compared with the algebraic conditions on the embedding tensor. It is found that only a weaker form of the differential constraint has to be imposed on background fields to ensure the local gauge symmetry of the reduced action.