nLab Christian Saemann

• webpage

Selected writings

On the M2-brane 3-algebra and the BLG model:

• Sergey Cherkis, Christian Saemann, Multiple M2-branes and Generalized 3-Lie algebras, Phys. Rev. D78:066019, 2008 (arXiv:0807.0808)

On quantum L-infinity algebras for the BV-BRST formalism:

• Branislav Jurčo, Tommaso Macrelli, Christian Sämann, Martin Wolf, Loop Amplitudes and Quantum Homotopy Algebras, Journal of High Energy Physics 2020 3 (2020) [doi:10.1007/JHEP07(2020)003, arXiv:1912.06695]

• Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf, Perturbative Quantum Field Theory and Homotopy Algebras, PoS (CORFU2019) 199 [arXiv:2002.11168, doi:10.22323/1.376.0199]

Generalization of the Poincaré lemma to non-abelian Lie 2-algebra valued differential forms (local connections on 2-bundles):

• Getachew Alemu Demessie, Christian Saemann, Higher Poincaré Lemma and Integrability, J. Math. Phys. 56 082902 (2015) [doi:10.1063/1.4929537, arXiv:1406.5342]

On Higher Structures in M-theory:

• Christian Saemann, Lectures on Higher Structures in M-Theory (arXiv:1609.09815)

• Branislav Jurco, Christian Saemann, Urs Schreiber, Martin Wolf, Higher Structures in M-Theory, Introduction to Higher Structures in M-Theory, LMS-EPSRC Durham Symposium, August 2018, Fortsch. d. Phys. 2019 (arXiv:1903.02807)

Proposal for understanding D=6 N=(1,0) SCFTs as higher gauge theories for gauge-L-infinity algebras which are variants of the string Lie 2-algebra:

• Christian Saemann, Lennart Schmidt, The Non-Abelian Self-Dual String and the $(2,0)$-Theory (arXiv:1705.02353)

• Christian Saemann, Lennart Schmidt, Towards an M5-Brane Model I: A 6d Superconformal Field Theory, J. Math. Phys. 59 (2018) 043502 [arXiv:1712.06623, doi:10.1063/1.5026545]

• Christian Saemann, Lennart Schmidt, Towards an M5-Brane Model II: Metric String Structures, Fortschr. Phys. 68 (2020) 2000051 [arXiv:1908.08086, doi:10.1002/prop.202000051]

• Dominik Rist, Christian Saemann, Miro van der Worp: Towards an M5-Brane Model III: Self-Duality from Additional Trivial Fields, J. High Energ. Phys. 2021 36 (2021) [doi:10.1007/JHEP06(2021)036, arXiv:2012.09253]

  (on the self-duality condition on the M5-brane worldvolume: )

On the classical double copy (KLT relations, relating gravity to Yang-Mills theory) via $L_\infty$-algebra:

• Leron Borsten, Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf, Double copy from homotopy algebras, Fortschritte der Physik, 69 8-9 (2021) 2100075 $[$arXiv:2102.11390, doi:10.1002/prop.202100075$]$

Discussion of adjusted Weil algebras for $L_\infty$-algebras and the corresponding higher gauge theory:

• Christian Saemann, Lennart Schmidt, Towards an M5-Brane Model II: Metric String Structures, Fortschr. Phys. 68 (2020) 2000051 [arXiv:1908.08086, doi:10.1002/prop.202000051]

application to higher parallel transport:

• Hyungrok Kim, Christian Saemann, Adjusted Parallel Transport for Higher Gauge Theories, J. Phys. A 52 (2020) 445206 [arXiv:1911.06390, doi:10.1088/1751-8121/ab8ef2]

relation to $E L_\infty$-algebras and tensor hierarchies:

• Leron Borsten, Hyungrok Kim, Christian Saemann. $E L_\infty$-algebras, Generalized Geometry, and Tensor Hierarchies [arXiv:2106.00108]

survey and review:

• Christian Saemann, Adjusted Higher Gauge Theory: Connections and Parallel Transport Lisbon (2021) [pdf, pdf]

• Christian Saemann, $E L_\infty$-algebras, Generalized Geometry, and Tensor Hierarchies, talk at SFT@Cloud 2021 (2021) [pdf, pdf]

Proposal for further enhancement of the higher differential geometry-formulation of T-folds (such as with 2-connections and further non-geometric backgrounds):

• Hyungrok Kim, Christian Saemann, Non-Geometric T-Duality as Higher Groupoid Bundles with Connections [arXiv:2204.01783]

On higher gauge theory:

• Leron Borsten, Mehran Jalali Farahani, Branislav Jurčo, Hyungrok Kim, Jiří Nárožný, Dominik Rist, Christian Saemann, Martin Wolf, Higher Gauge Theory, in Encyclopedia of Mathematical Physics 2nd ed, Elsevier (2024) [arXiv:2401.05275]

Related $n$Lab entries

• M2-brane 3-algebra

• Nambu mechanics

• membrane matrix model

• twistor space

category: people