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首页> 外文期刊>The journal of high energy physics >Consistent compactification of double field theory on non-geometric flux backgrounds
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Consistent compactification of double field theory on non-geometric flux backgrounds

机译:非几何磁通背景双场理论的一致压缩

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A bstract In this paper, we construct non-trivial solutions to the 2 D -dimensional field equations of Double Field Theory (DFT) by using a consistent Scherk-Schwarz ansatz. The ansatz identifies 2( D ? d ) internal directions with a twist U _( M )~( N )which is directly connected to the covariant fluxes $ mathcal{F} $ ~( ABC ). It exhibits 2( D ? d ) linear independent generalized Killing vectors K ~( I )_( J )and gives rise to a gauged supergravity in d dimensions. We analyze the covariant fluxes and the corresponding gauged supergravity with a Minkowski vacuum. We calculate fluctuations around such vacua and show how they gives rise to massive scalars field and vectors field with a non-abelian gauge algebra. Because DFT is a background independent theory, these fields should directly correspond the string excitations in the corresponding background. For ( D ? d ) = 3 we perform a complete scan of all allowed covariant fluxes and find two different kinds of backgrounds: the single and the double elliptic case. The later is not T-dual to a geometric background and cannot be transformed to a geometric setting by a field redefinition either. While this background fulfills the strong constraint, it is still consistent with the Killing vectors depending on the coordinates and the winding coordinates, thereby giving a non-geometric patching. This background can therefore not be described in Supergravity or Generalized Geometry.
机译:在本文中,我们通过使用一致的Scherk-Schwarz Ansatz构建双场理论(DFT)的2d尺寸场方程的非普通解。 ANSATZ识别2(d?d)内部方向,其扭曲U _(m)〜(n)直接连接到协变量的通量$ mathcal {f} $〜(abc)。它表现出2(DΔd)线性独立的广义杀灭载体K〜(i)_(j),并在D尺寸中产生测量的超级级。我们用Minkowski真空分析协助助熔剂和相应的测量的超级抗皱性。我们计算此类疫苗周围的波动,并展示了如何通过非阿比越画代数产生大规模的标量场和向量领域。因为DFT是一个背景独立理论,所以这些字段应该直接对应于相应的背景中的字符串激励。对于(d?d)= 3我们执行完全扫描所有允许的协助助焊剂,并找到两种不同的背景:单个和双椭圆形。稍后不是几何背景的T-Dual,也不能通过字段重新定义转换为几何设置。虽然该背景实现了强制的限制,但是根据坐标和绕组坐标仍然与杀戮矢量一致,从而提供非几何修补。因此,可以在超级级或广义几何形状中描述该背景。

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