Dualisation of dualities
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Publication:1571769
DOI10.1016/S0550-3213(98)00136-9zbMATH Open1031.81599arXivhep-th/9710119OpenAlexW2110497627WikidataQ58666170 ScholiaQ58666170MaRDI QIDQ1571769
Author name not available (Why is that?)
Publication date: 11 July 2000
Published in: (Search for Journal in Brave)
Abstract: We analyse the global (rigid) symmetries that are realised on the bosonic fields of the various supergravity actions obtained from eleven-dimensional supergravity by toroidal compactification followed by the dualisation of some subset of fields. In particular, we show how the global symmetries of the action can be affected by the choice of this subset. This phenomenon occurs even with the global symmetries of the equations of motion. A striking regularity is exhibited by the series of theories obtained respectively without any dualisation, with the dualisation of only the Ramond-Ramond fields of the type IIA theory, with full dualisation to lowest degree forms, and finally for certain inverse dualisations (increasing the degrees of some forms) to give the type IIB series. These theories may be called the GL_A, D, E and GL_B series respectively. It turns out that the scalar Lagrangians of the E series are sigma models on the symmetric spaces K(E_{11-D})�ackslash E_{11-D} (where K(G) is the maximal compact subgroup of G) and the other three series lead to models on homogeneous spaces K(G) �ackslash Gsemi R^s. These can be understood from the E series in terms of the deletion of positive roots associated with the dualised scalars, which implies a group contraction. We also propose a constrained Lagrangian version of the even dimensional theories exhibiting the full duality symmetry and begin a systematic analysis of abelian duality subalgebras.
Full work available at URL: https://arxiv.org/abs/hep-th/9710119
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