An article that we have written:
Domenico Fiorenza,
Hisham Sati,
Urs Schreiber:
Super-exceptional M5-brane model:
Emergence of $SU(2)$-flavor sector
Journal of Geometry and Physics
Volume 170, December 2021, 104349
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Abstract. A new super-exceptional embedding construction of the heterotic M5-brane's sigma-model was recently shown to produce, at leading order in the super-exceptional vielbein components, the super-Nambu-Goto (Green-Schwarz-type) Lagrangian for the embedding fields plus the Perry-Schwarz Lagrangian for the free abelian self-dual higher gauge field. Beyond that, further fields emerge in the model, arising from probe M2- and probe M5-brane wrapping modes. Here we classify the full super-exceptional field content and work out some of their characteristic interactions from the rich super-exceptional Lagrangian of the model. We show that $\mathrm{SU}(2) \times U(1)$-valued scalar and vector fields emerge in the model from probe M2- and M5-branes wrapping the vanishing cycle in the $\mathrm{A}_1$-type singularity; together with a pair of spinor fields of $U(1)$-hypercharge $\pm 1$ and each transforming as SU(2) iso-doublets. Then we highlight the appearance of a WZW-type term in the super-exceptional PS-Lagrangian and find that on the electromagnetic field it gives the first DBI-correction, while on the iso-vector scalar field it has the form characteristic of the coupling of vector mesons to pions via the Skyrme baryon current. We discuss how this is suggestive of a form of SU(2)-flavor chiral hadrodynamics emerging on the single ($N=1$) heterotic M5-brane, different from, but akin to, large-N holographic QCD.
Based on
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Super-exceptional embedding construction of the M5-brane
Journal of High Energy Physics 2020, 107 (2020).
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twisted Cohomotopy implies twisted String structure on M5-branes
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:
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Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Equivariant Cohomotopy implies orientifold tadpole cancellation
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Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twisted Cohomotopy implies twisted String structure on M5-branes
Last revised on August 20, 2021 at 13:09:02. See the history of this page for a list of all contributions to it.