4.5 Article

Large gauge transformations in double field theory

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP02(2013)075

Keywords

Gauge Symmetry; Differential and Algebraic Geometry; Space-Time Symmetries; String Duality

Funding

  1. U.S. Department of Energy (DoE) [DE-FG02-05ER41360]
  2. DFG Transregional Collaborative Research Centre TRR 33
  3. DFG cluster of excellence Origin and Structure of the Universe

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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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