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Connecting T-duality invariant theories

机译:连接T对偶不变性理论

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We show that the vanishing of the one-loop beta-functional of the doubled formalism (which describes string theory on a torus fibration in which the fibres are doubled) is the same as the equation of motion of the recently proposed generalised metric formulation of double field theory restricted to this background: both are the vanishing of a generalised Ricci tensor. That this tensor arises in both backgrounds indicates the importance of a new doubled differential geometry for understanding both constructions.
机译:我们表明,双重形式主义的一环β-功能的消失(它描述了纤维在其中被双重缠绕的环形纤维的弦论)与最近提出的广义双重度量公式的运动方程相同场论仅限于此背景:两者都是广义Ricci张量的消失。在两个背景中都出现该张量表明新的双微分几何对于理解这两种构造的重要性。

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