An article that we have written:
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twisted cohomotopy implies twisted String structure on M5-branes
Journal of Mathematical Physics
62 (2021) 042301
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pdf (updated)
Abstract. We show that charge-quantization of the M-theory C-field in J-twisted Cohomotopy theory (Hypothesis H) implies emergence of a higher Sp(1)-gauge field on single heterotic M5-branes, which exhibits worldvolume twisted string structure.
(this homotopy-commutative diagram became the logo of M-Theory and Mathematics 2023)
Errata
In the expression for $2 \widetilde \Gamma_7$ on the first and last page the term “$\widetilde \Gamma + \tfrac{1}{2}p_1$” should read just “$\widetilde \Gamma_4$”.
(There are two alternative ways of defining $\widetilde \Gamma$ as $\tfrac{1}{2}\chi \pm \tfrac{1}{4}p_1$, which differ by that summand $\tfrac{1}{2}p_1$. But with the convention that we ended up using on p. 4, this conversion summand is absent.)
Followups:
Topological sectors for heterotic M5-brane charges under Hypothesis H, J. High Energ. Phys. 2020, 52 (2020) (arXiv:2003.09832, doi:10.1007/JHEP06(2020)052)
Domenico Fiorenza, Hisham Sati, Urs Schreiber
Super-exceptional M5-brane model – Emergence of SU(2)-flavor sector
Exposition and talk notes on Hypothesis H:
Microscopic Brane Physics from Cohomotopy
talk at M-Theory and Mathematics
NYU AD 2020
Twisted Cohomotopy implies M-theory anomaly cancellation
presentation at Strings2019
Brussels, 2019
Super p-Brane Theory emerging from Super Homotopy Theory
talk at StringMath2017,
Hamburg, 2017
Equivariant Cohomotopy and Branes
talk at String and M-Theory: The New Geometry of the 21st Century
NUS Singapore, 2018
The Higher Structure of 11d Supergravity
talk at Souriau 2019
IHP Paris, 2019
Equivariant Cohomotopy of toroidal orbifolds
talk at Prof. Sadok Kallel‘s group seminar
AUS Sharjah, 2019
Equivariant Stable Cohomotopy and Branes
talk at Geometry, Topology and Physics
NYU Abu Dhabi, 2018
Equivariant cohomology of M2/M5-branes
talk at Seminar on Higher Structures
MPI Bonn, 2016
Related articles on Hypothesis H:
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Equivariant Cohomotopy implies orientifold tadpole cancellation
Lift of fractional D-brane charge to equivariant Cohomotopy theory
Differential Cohomotopy implies intersecting brane observables
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation
Last revised on June 26, 2023 at 07:04:47. See the history of this page for a list of all contributions to it.