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arXiv · 1207.4198

Large Gauge Transformations in Double Field Theory

Olaf Hohm·Barton Zwiebach
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Abstract

Finite gauge transformations in double field theory can be defined by the exponential of generalized Lie derivatives. We interpret these transformations as `generalized coordinate transformations' in the doubled space by proposing and testing a formula that writes large transformations in terms of derivatives of the coordinate maps. Successive generalized coordinate transformations give a generalized coordinate transformation that differs from the direct composition of the original two. Instead, it is constructed using the Courant bracket. These transformations form a group when acting on fields but, intriguingly, do not associate when acting on coordinates.

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Olaf Hohm, Barton Zwiebach. 2012-07-17. Large Gauge Transformations in Double Field Theory. https://doi.org/10.1007/jhep02(2013)075

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