Super-exceptional embedding construction of the heterotic M5: Emergence of SU(2)-flavor sector

JOURNAL OF GEOMETRY AND PHYSICS

卷:170

Article

Fiorenza, Domenico¹  Sati, Hisham²  Schreiber, Urs² 

[1] Univ Roma La Sapienza, Dipartimento Matemat, Piazzale Aldo Moro 2, I-00185 Rome, Italy

[2] New York Univ Abu Dhabi, Div Sci, Math, Abu Dhabi, U Arab Emirates

关键词: String theory;    Supergravity;    Super Lie algebras;    FDA/dg-algebra;    Branes;    Hadrodynamics;   

DOI  :  10.1016/j.geomphys.2021.104349

来源: Elsevier

【 摘 要 】

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) x U(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 superexceptional 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. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

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