nLab Jakob Palmkvist

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Selected writings

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

• 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]

Relating the E10 U-duality covariant sigma-model description of, hypothetically, M-theory to D=3 gauged supergravity:

• 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]

On M2-brane 3-algebras:

• Jakob Palmkvist, Three-algebras, triple systems and 3-graded Lie superalgebras, J. Phys. A43:015205, 2010 (arXiv:0905.2468)

On tensor hierarchies in gauged supergravity:

• Jesper Greitz, Paul Howe, Jakob Palmkvist, The tensor hierarchy simplified, Class. Quantum Grav. 31 (2014) 087001 (arXiv:1308.4972)

On relation of Borcherds algebras to tensor hierarchies in gauged supergravity:

• Jakob Palmkvist, Tensor hierarchies, Borcherds algebras and $E_{11}$, JHEP 1202 (2012) 066 (arXiv:1110.4892)

• Jakob Palmkvist, The tensor hierarchy algebra, J. Math. Phys. 55, 011701 (2014) (arXiv:1305.0018)

and to exceptional generalized geometry:

• Jakob Palmkvist, Exceptional geometry and Borcherds superalgebras (arXiv:1507.08828)

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]

On the Kantor-Koecher-Tits construction:

• Jakob Palmkvist, A generalization of the Kantor-Koecher-Tits construction, J. Gen. Lie Theory Appl. 2, (2008) 226 (arXiv:1308.3761)

A proposal for understanding tensor hierarchies as dg-Lie algebra/L-infinity algebra-refinenents of Leibniz algebras:

• Sylvain Lavau, Jakob Palmkvist, Infinity-enhancing of Leibniz algebras (arXiv:1907.05752)

Relating supermultiplets to $L_\infty$-algebras via pure spinor-formalism:

• Martin Cederwall, Simon Jonsson, Jakob Palmkvist, Ingmar Saberi, Canonical supermultiplets and their Koszul duals [arXiv:2304.01258]

On hyperbolic Kac-Moody algebras in view of their role in U-duality-covariant supergravity:

• Martin Cederwall, Jakob Palmkvist: Gradient structures from extensions of over-extended Kac-Moody algebras [arXiv:2503.17779]

category: people