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Super-exceptional embedding construction of the heterotic M5: Emergence of SU(2)-flavor sector | | Domenico Fiorenza
; Hisham Sati
; Urs Schreiber
; | | Date: |
29 May 2020 | | 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 and interactions 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 its characteristic interactions from the
rich super-exceptional Lagrangian of the model. We show that SU(2)xU(1)-valued
scalar and vector fields emerge from probe M2- and M5-branes wrapping the
vanishing cycle in the A_1-type singularity; together with a pair of spinor
fields of U(1)-hypercharge +-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-order non-linear 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) M5 brane,
different from, but akin to, holographic large-$N$ QCD. | | Source: | arXiv, 2006.0012 | | Services: | Forum | Review | PDF | Favorites | |
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