An action for extended string Newton-Cartan gravity
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Publication:667263
DOI10.1007/JHEP01(2019)178zbMATH Open1409.83176arXiv1810.09387WikidataQ128540071 ScholiaQ128540071MaRDI QIDQ667263
Author name not available (Why is that?)
Publication date: 12 March 2019
Published in: (Search for Journal in Brave)
Abstract: We construct an action for four-dimensional extended string Newton-Cartan gravity which is an extension of the string Newton-Cartan gravity that underlies nonrelativistic string theory. The action can be obtained as a nonrelativistic limit of the Einstein-Hilbert action in General Relativity augmented with a term that contains an auxiliary two-form and one-form gauge field that both have zero flux on-shell. The four-dimensional extended string Newton-Cartan gravity is based on a central extension of the algebra that underlies string Newton-Cartan gravity. The construction is similar to the earlier construction of a three-dimensional Chern-Simons action for extended Newton-Cartan gravity, which is based on a central extension of the algebra that underlies Newton-Cartan gravity. We show that this three-dimensional action is naturally obtained from the four-dimensional action by a reduction over the spatial isometry direction longitudinal to the string followed by a truncation of the extended string Newton-Cartan gravity fields. Our construction can be seen as a special case of the construction of an action for extended p-brane Newton-Cartan gravity in p+3 dimensions.
Full work available at URL: https://arxiv.org/abs/1810.09387
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