nLab Andrea Santi

• ResearchGate page

Selected writings

On Sasakian manifolds and M-theory:

• José Figueroa-O'Farrill, Andrea Santi: Sasakian manifolds and M-theory, Class. Quantum Grav. 33 (2016) 095004 [doi:10.1088/0264-9381/33/9/095004, arXiv:1511.03460]

On Spencer cohomology and 11D supergravity:

• José Figueroa-O’Farrill, Andrea Santi: Spencer cohomology and eleven-dimensional supergravity, Comm. Math. Phys. 349* (2017), 627–660 [doi:10.1007/s00220-016-2700-1, arXiv:1511.08737]

On (symmetric) solutions of 11D supergravity:

• José Figueroa-O'Farrill, Andrea Santi: On the algebraic structure of Killing superalgebras, Adv. Theor. Math. Phys 21 (2017) 1115–1160 [doi:10.4310/atmp.2017.v21.n5.a1, arXiv:1608.05915]

  (proves that “high supersymmetry”, $N \gt 16$, already implies the equations of motion)

• Andrea Santi: Remarks on highly supersymmetric backgrounds of 11-dimensional supergravity, in: Geometry, Lie Theory and Applications, Abel Symposia 16, Springer (2022) 253–277 [doi:10.1007/978-3-030-81296-6_12, arXiv:1912.10688]

• Emanuele Di Bella, Willem A. de Graaf, Andrea Santi: Some rigidity results for supergravity backgrounds in 11 dimensions [arXiv:2603.19923]

On G(3) supergeometry:

• Boris Kruglikov, Andrea Santi, Dennis The: $G(3)$-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation, Advances in Mathematics 376 (2021) supergeometry and a supersymmetric extension of the Hilbert-Cartan equation [doi:10.1016/j.aim.2020.107420, arXiv:1908.09106]

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