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We propose a non-associative phase space algebra for M-theory backgrounds with locally non-geometric fluxes based on the non-associative algebra of octonions.
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KISS Preprint No: 198504333
M. Günaydin and B. Zumino, Magnetic Charge and Non-Associative Algebras · 1986
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P. Bouwknegt, J. Evslin, and V. Mathai, T duality: Topology change from H flux
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P. Bouwknegt, K. Hannabuss, and V. Mathai, T-duality for principal torus bundles and dimensionally reduced Gysin sequences
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M. Günaydin and O. Pavlyk, Generalized spacetimes defined by cubic forms and the minimal unitary realizations of their quasiconformal groups
2005
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C. Hull, A Geometry for non-geometric string backgrounds
2005
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2005
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2006
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2006
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V. Mathai and J. M. Rosenberg, T-duality for torus bundles with H-fluxes via noncommutative topology, II: The High-dimensional case and the T-duality group
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M. Günaydin and D. Minic, Nonassociativity, Malcev Algebras and String Theory
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2006
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A. Dabholkar and C. Hull, Generalised T-duality and non-geometric backgrounds
2006
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R. Blumenhagen, B. Kors, D. Lüst, and S. Stieberger, Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
2007
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B. Wecht, Lectures on Nongeometric Flux Compactifications
2007
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2009
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C. Hull and B. Zwiebach, Double Field Theory
2009
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D. Lüst, T-duality and closed string non-commutative (doubled) geometry
2010
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2013
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2013
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2013
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J. de Boer and M. Shigemori, Exotic Branes in String Theory
2013
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2013
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2013
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2013
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2013
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2014
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2014
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2014
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2015
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I. Bakas and D. Lüst, T-duality, Quotients and Currents for Non-Geometric Closed Strings
2015
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C. D. A. Blair and E. Malek, Geometry and fluxes of SL(5) exceptional field theory
2015
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2016
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A. Chatzistavrakidis, Non-isometric T-duality from gauged sigma models · 2016
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