nLab Axel Kleinschmidt

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Selected writings

On a 1d sigma-model on a coset space of the E10 U-duality-group as a potential model for the M-theory-completion of 11D supergravity:

• Axel Kleinschmidt, Hermann Nicolai: $E(10)$ and $SO(9,9)$ invariant supergravity, JHEP 0407,

  041 (2004) [arXiv:hep-th/0407101, doi:10.1088/1126-6708/2004/07/041]

• Axel Kleinschmidt, Hermann Nicolai: $E_{10}$ Cosmology, JHEP 01 (2006) 137 [arXiv:hep-th/0511290, doi:10.1088/1126-6708/2006/01/137]

  (cosmological solutions)

• Axel Kleinschmidt, Hermann Nicolai: Maximal supergravities and the $E_{10}$ model, International Journal of Modern Physics D 15 10 (2006) 1619-1642 [doi:10.1142/S0218271806009005]

• Thibault Damour, Axel Kleinschmidt, Hermann Nicolai: Constraints and the $E_{10}$ Coset Model, Class. Quant. Grav. 24 (2007) 6097-6120 [arXiv:0709.2691, doi:10.1088/0264-9381/24/23/025]

• Marc Henneaux, Ella Jamsin, Axel Kleinschmidt, Daniel Persson: On the $E_{10}$/Massive Type IIA Supergravity Correspondence, Phys. Rev. D 79 (2009) 045008 [arXiv:0811.4358, doi:10.1103/PhysRevD.79.045008]

  (relation to massive type IIA string theory)

• Eric A. Bergshoeff, Olaf Hohm, Axel Kleinschmidt, Hermann Nicolai, Teake A. Nutma, Jakob Palmkvist: $E_{10}$ and Gauged Maximal Supergravity, JHEP 0901:020 (2009) [doi:10.1088/1126-6708/2009/01/020, arXiv:0810.5767]

  (relation to D=3 gauged supergravity)

• Thibault Damour, Axel Kleinschmidt, Hermann Nicolai: Sugawara-type constraints in hyperbolic coset models, Commun. Math. Phys. 302 (2011) 755-788 [arXiv:0912.3491, doi:10.1007/s00220-011-1188-y]

• Axel Kleinschmidt, Hermann Nicolai: The $E_{10}$ Wheeler-DeWitt operator at low levels, J. High Energ. Phys. 2022 92 (2022) [arXiv:2202.12676, doi:10.1007/JHEP04(2022)092]

  (relation to the Wheeler-DeWitt equation for 11D supergravity)

On E10-U-duality exceptional field theory with fermions ($E_{10}/K(E_{10})$-coset model supersymmetric quantum mechanics):

• Axel Kleinschmidt, Hermann Nicolai: IIA and IIB spinors from $K(E_{10})$, Phys. Lett.B 637 (2006) 107-112 [arXiv:hep-th/0603205, doi:10.1016/j.physletb.2006.04.007]

• Thibault Damour, Axel Kleinschmidt, Hermann Nicolai: $K(E10)$, Supergravity and Fermions, JHEP 0608:046 (2006) [arXiv:hep-th/0606105, doi:10.1088/1126-6708/2006/08/046]

On the maximal compact subalgebras of E9 and E10, respectively, and their finite-dimensional linear representations:

• Axel Kleinschmidt, Hermann Nicolai, Adriano Viganò: On spinorial representations of involutory subalgebras of Kac-Moody algebras, In: Partition Functions and Automorphic Forms, Moscow Lectures 5, Springer (2020) [arXiv:1811.11659, doi:10.1007/978-3-030-42400-8_4]

• Axel Kleinschmidt, Hermann Nicolai, Jakob Palmkvist: $K(E_9)$ from $K(E_{10})$, Journal of High Energy Physics 2007 JHEP06 (2007) [arXiv:hep-th/0611314, doi:10.1088/1126-6708/2007/06/051]

• Axel Kleinschmidt, Hermann Nicolai: On higher spin realizations of $K(E_{10})$, J. High Energ. Phys. 2013 41 (2013) [arXiv:1307.0413, doi:10.1007/JHEP08(2013)041]

• Axel Kleinschmidt, Hermann Nicolai: Generalised holonomies and $K(E_9)$, J. High Energ. Phys. 2021 54 (2021) [arXiv:2107.02445, doi:10.1007/JHEP09(2021)054]

On U-duality and diffeomorphisms in exceptional generalized geometry:

• David Berman, Martin Cederwall, Axel Kleinschmidt, Daniel C. Thompson, The gauge structure of generalised diffeomorphisms, High Energ. Phys. 2013 64 (2013) [arXiv:1208.5884]

On a possible role of E10-U-duality in phenomenology (the standard model of particle physics):

• Axel Kleinschmidt, Hermann Nicolai: Standard model fermions and $K(E_{10})$, Physics Letters B

  747 (2015) 251-254 [arXiv:1504.01586, doi:10.1016/j.physletb.2015.06.005]

On E9-exceptional field theory-formulation of D=11 supergravity:

• Guillaume Bossard, Franz Ciceri, Gianluca Inverso, Axel Kleinschmidt, Henning Samtleben: $E_9$ exceptional field theory I. The potential J. High Energ. Phys. 2019 89 (2019) [arXiv:1811.04088, doi:10.1007/JHEP03(2019)089]

• Guillaume Bossard, Franz Ciceri, Gianluca Inverso, Axel Kleinschmidt, Henning Samtleben: $E_9$ exceptional field theory II. The complete dynamics, J. High Energ. Phys. 2021 107 (2021). [arXiv:2103.12118, doi:10.1007/JHEP05(2021)107]

On E11-exceptional supergravity:

• Guillaume Bossard, Axel Kleinschmidt, Jakob Palmkvist, Christopher Pope, Ergin Sezgin, Beyond $E_{11}$, JHEP 05 (2017) 020 [doi:10.1007/JHEP05(2017)020, arXiv:1703.01305]

• Guillaume Bossard, Axel Kleinschmidt, Ergin Sezgin, On supersymmetric E11 exceptional field theory (arXiv:1907.02080)

• Guillaume Bossard, Axel Kleinschmidt, Ergin Sezgin: A master exceptional field theory, J. High Energ. Phys. 2021 185 (2021) [arXiv:2103.13411, doi:10.1007/JHEP06(2021)185]

Discussion of E9 in view of U-duality-symmetry of D=11 supergravity reduced to $D=2$ (finite-dimensional representations of the maximal compact subalgebra $\mathfrak{k} = Lie\big(K(E_9)\big)$:

• Axel Kleinschmidt, Ralf Köhl, Robin Lautenbacher, Hermann Nicolai: Representations of involutory subalgebras of affine Kac-Moody algebras, Commun. Math. Phys. 392 (2022) 89–123 [arXiv:2102.00870, doi:10.1007/s00220-022-04342-9]

On maximal gauged D=2 supergravity via KK-reduction of D=11 supergravity:

• Guillaume Bossard, Franz Ciceri, Gianluca Inverso, Axel Kleinschmidt, Maximal $D=2$ supergravities from higher dimensions [arXiv:2309.07232]

• Guillaume Bossard, Franz Ciceri, Gianluca Inverso, Axel Kleinschmidt, Consistent truncation of eleven-dimensional supergravity on $S^8 \times S^1$ [arXiv:2309.07233]

Related entries

• U-duality, Kac-Moody group

category: people