Schreiber Higher T-duality of super M-branes

Two articles that we wrote:

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• Domenico Fiorenza, Hisham Sati,
  Urs Schreiber

  Higher T-duality of super M-branes

  Advances in Mathematical and Theoretical Physics,

  Vol. 24, No. 3 (2020), pp. 621-708

  doi:10.4310/ATMP.2020.v24.n3.a3

  arXiv:1803.05634

  
  

  Higher T-duality in M-theory via local supersymmetry

  Physics Letters B, Volume 781,

  10 June 2018, Pages 694-698

  doi:10.1016/j.physletb.2018.04.058

  arXiv:1805.00233

Abstract: We establish a higher generalization of super L-∞-algebraic T-duality of super WZW-terms for super p-branes. In particular we demonstrate spherical T-duality of super M5-branes propagating on exceptional-geometric 11d superspacetimes.

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Based on:

• T-Duality from super Lie n-algebra cocycles for super p-branes

• Super Lie n-algebra extensions, higher WZW models and super p-branes

See also:

• Domenico Fiorenza, Hisham Sati, Urs Schreiber:

  The rational higher structure of M-theory

  Proceedings of the LMS-EPSRC Durham Symposium:

  Higher Structures in M-Theory 2018

  Fortschritte der Physik, 2019

  doi:10.1002/prop.201910017

  (arXiv:1903.02834)

• Super-Lie-infinity T-Duality and M-Theory

Talk slides:

• Super p-Brane Theory emerging from Super Homotopy-Theory

  talk at StringMath 2017, Hamburg 2017

• Super topological T-Duality

  talk at Duality in Homotopy Theory, Regensburg 2017

• Super Lie n-algebra of Super p-branes

  colloquium talk alongside Iberian Strings 2017

Lecture notes:

• geometry of physics – fundamental super p-branes

• Super Lie n-algebra of Super p-branes

• Structure Theory for Higher WZW Terms

• From the Superpoint to T-Folds

• Higher Cartan Geometry

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