Large gauge transformations in double field theory
By O. Hohm, B. Zwiebach. 2012
144 citations recorded by the source corpus.
A bstractFinite 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.
Subfields: Nuclear and High Energy Physics, Numerical Analysis, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d847f1257810723911671de50ac4445147744e7c
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Citations in the corpus
- β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework (2013, background): “The recent work [52, 53] however indicates that the coordinate transformations are more general, and the nature of this doubled space is thus still under investigation.”
- Supergravity as generalised geometry II: Ed(d) × ℝ+ and M theory (2014, background): “Interestingly, even when applied to conventional supergravity backgrounds, the doubled space cannot be assumed to have a conventional manifold structure [11].”
- The spacetime of double field theory: Review, remarks, and outlook (2013, background): “A straightforward computation, whose details can be found in [14], shows that the above coordinate transformation leads to an F of the form FN = [( h−1 )2]M N .”
- Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions (2012, background): “Describing the properties of these manifolds will be an interesting direction for future study – in [47] recent progress in this direction has been made in understanding how to “exponentiate” the local symmetries for the O(d, d) case relevant to DFT.”
- Doubled α′-geometry (2013, background): “Global aspects of double field theory are discussed in [22] where a formula for large gauge transformations was proposed and examined in detail.”
- Duality Symmetric String and M-Theory (2013, background): “Space limitations prevent us discussing in any detail a number of developments related to the contents of this chapter including21: the structure of large (finite) DFT gauge transformations [194, 195], the the matrix theory perspective of non-geometric fluxes [196, 197]; further perspectives on non-”
- Double field theory: a pedagogical review (2013, methodology): “In [114], a formula for large gauge transformations was proposed and tested, which is written in terms of derivatives of the coordinate maps.”