Perturbative F-theory 10-brane and M-theory 5-brane

Journal of High Energy Physics

Warren Siegel¹  Machiko Hatsuda² 

[1] C.N. Yang Institute for Theoretical Physics, State University of New York, 11794-3840, Stony Brook, NY, USA;Department of Radiological Technology, Faculty of Health Science, Juntendo University, Yushima, 113-0034, Bunkyou-ku, Tokyo, Japan;KEK Theory Center, High Energy Accelerator Research Organization, 305-0801, Tsukuba, Ibaraki, Japan;

关键词: F-Theory;    M-Theory;    p;    String Duality;   

DOI  :  10.1007/JHEP11(2021)201

来源: Springer

【 摘 要 】

The exceptional symmetry is realized perturbatively in F-theory which is the manifest U-duality theory. The SO(5) U-duality symmetry acts on both the 16 space-time coordinates and the 10 worldvolume coordinates. Closure of the Virasoro algebra requires the Gauss law constraints on the worldvolume. This set of current algebras describes a F-theory 10-brane. The SO(5) duality symmetry is enlarged to the SO(6) symmetry in the Lagrangian formulation. We propose actions of the F-theory 10-brane with SO(5) and SO(6) symmetries. The gauge fields of the latter action are coset elements of SO(6)/SO(6; ℂ) which include both the SO(5)/SO(5; ℂ) spacetime backgrounds and the worldvolume backgrounds. The SO(5) current algebra obtained from the Pasti-Sorokin-Tonin M5-brane Lagrangian leads to the theory behind M-theory, namely F-theory. We also propose an action of the perturbative M-theory 5-brane obtained by sectioning the worldvolume of the F-theory 10-brane.

【 授权许可】

CC BY