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Unifying R-Symmetry in M-Theory

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New Trends in Mathematical Physics

Abstract

In this contribution we address the following question: Is there a group with a fermionic presentation which unifies all the physical gravitini and dilatini of the maximal supergravity theories in D=10 and D=11 (without introducing new degrees of freedom)? The affirmative answer relies on a new mathematical object derived from the theory of Kac–Moody algebras, notably E 10. It can also be shown that in this way not only the spectrum but also dynamical aspects of all supergravity theories can be treated uniformly.

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Author notes

  1. Axel Kleinschmidt

    Present address: Service de Physique Théorique et Mathématique, Université Libre de Bruxelles & International Solvay Instititutes, Campus Plaine CP231, Boulevard du Triomphe, 1050, Bruxelles, Belgium

Authors and Affiliations

  1. Max Planck Institute for Gravitational Physics, Albert Einstein Institute, Am Mühlenberg 1, 14476, Potsdam, Germany

    Axel Kleinschmidt

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  1. Axel Kleinschmidt
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Correspondence to Axel Kleinschmidt .

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Editors and Affiliations

  1. Instituto de Matemática Pura e Aplicada (IMPA), Estrada Dona Castorina 110, Rio de Janeiro, RJ, Brazil

    Vladas Sidoravičius

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Kleinschmidt, A. (2009). Unifying R-Symmetry in M-Theory. In: Sidoravičius, V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2810-5_26

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