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We show that supercocycles on super $L_\infty$-algebras capture, at the rational level, the twisted cohomological charge structure of the fields of M-theory and of type IIA string theory.
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A. K. Bousfield and V. K. A. M. Gugenheim · 1976
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A. S. Shvarts · 1984
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A model for cyclic homology and algebraic K K -theory of 1 1 -connected topological spaces
Micheline Vigué-Poirrier and Dan Burghelea · 1985
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Supergravity and superstrings. A geometric perspective
Leonardo Castellani, Riccardo D’Auria, and Pietro Fré · 1991
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Lie groups, Lie algebras, cohomology and some applications in physics
José A. de Azcárraga and José M. Izquierdo · 1995
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Covariant action for the super-five-brane of M M theory
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C. Chryssomalakos, J. A. de Azcárraga, J. M. Izquierdo, and J. C. Pérez Bueno · 2000
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Rational homotopy theory
Yves Félix, Stephen Halperin, and Jean-Claude Thomas · 2001
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Supersymmetric Kaluza-Klein reductions of M2 and M5-branes
José Figueroa-O’Farrill and Joan Simón · 2002
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The loop group of E 8 E_{8} and K K -theory from 11d
Allan Adams and Jarah Evslin · 2003
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The loop group of E 8 E_{8} and targets for spacetime
Hisham Sati · 2009
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L ∞ L_{\infty} -algebra connections and applications to String- and Chern-Simons n n -transport
Hisham Sati, Urs Schreiber, and Jim Stasheff · 2009
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Twists of K K -theory and TMF
Matthew Ando, Andrew J. Blumberg, and David Gepner · 2010
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Unifying derived deformation theories
J. P. Pridham · 2010
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E 8 E_{8} gauge theory and gerbes in string theory
Hisham Sati · 2010
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Geometric and topological structures related to M-branes
Hisham Sati · 2010
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Model categories and their localizations
Philip S. Hirschhorn · 2003
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Some relations between twisted K K -theory and E 8 E_{8} gauge theory
Varghese Mathai and Hisham Sati · 2004
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Loop groups, Kaluza-Klein reduction and M-theory
Aaron Bergman and Uday Varadarajan · 2005
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Rational homotopy theory: a brief introduction
Kathryn Hess · 2007
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Algebraic models in geometry
Yves Félix, John Oprea, and Daniel Tanré · 2008
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T-Duality from super Lie n n -algebra cocycles for super p p -branes
D. Fiorenza, H. Sati, and U. Schreiber
Cited in the paper.
Yves Félix, Steve Halperin, and Jean-Claude Thomas · 2015
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The Wess-Zumino-Witten term of the M5-brane and differential cohomotopy
D. Fiorenza, H. Sati, and U. Schreiber · 2015
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Super-Lie n n -algebra extensions, higher WZW models and super- p p -branes with tensor multiplet fields
Domenico Fiorenza, Hisham Sati, and Urs Schreiber · 2015
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Principal ∞ \infty -bundles: general theory
Thomas Nikolaus, Urs Schreiber, and Danny Stevenson · 2015
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Structure theory for higher WZW terms
Urs Schreiber · 2015
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