nLab D=14 supersymmetry

Contents

Ingredients

Dynkin label	sp. orth. group	spin group	pin group	semi-spin group
	SO(2)	Spin(2)	Pin(2)
B1	SO(3)	Spin(3)	Pin(3)
D2	SO(4)	Spin(4)	Pin(4)
B2	SO(5)	Spin(5)	Pin(5)
D3	SO(6)	Spin(6)
B3	SO(7)	Spin(7)
D4	SO(8)	Spin(8)		SO(8)
B4	SO(9)	Spin(9)
D5	SO(10)	Spin(10)
B5	SO(11)	Spin(11)
D6	SO(12)	Spin(12)
	$\vdots$	$\vdots$
D8	SO(16)	Spin(16)		SemiSpin(16)
	$\vdots$	$\vdots$
D16	SO(32)	Spin(32)		SemiSpin(32)

Supersymmetry in total spacetime dimension 14, of interest for spacetime signature $11+3$ , hence super-extending Spin(11,3).

Khaled Abdel-Khalek, The Super P-Brane Scan and S Duality (arXiv:hep-th/9607180)
Ergin Sezgin, Super Yang-Mills in $(11,3)$ Dimensions, Phys.Lett. B403 (1997) 265-272 (arXiv:hep-th/9703123)
Itzhak Bars, A case for 14 dimensions, Phys. Lett. B403 (1997) 257-264 (arXiv:hep-th/9704054)
Itzhak Bars, Duality Covariant Type IIB Supersymmetry and Nonperturbative Consequences, Phys. Rev. D 56, 7954 (1997) (arXiv:hep-th/9706185)
I. Rudychev, Ergin Sezgin, Per Sundell, Supersymmetry in Dimensions Beyond Eleven, Nucl. Phys. Proc. Suppl. 68 (1998) 285-294 [doi:10.1016/S0920-5632(98)00162-5, arXiv:hep-th/9711127]
Hitoshi Nishino, Supersymmetric Yang-Mills Theories in $D \geq 12$ , Nucl.Phys. B523 (1998) 450-464 (arXiv:hep-th/9708064)

Michael Rios, Alessio Marrani, David Chester, The Geometry of Exceptional Super Yang-Mills Theories, Phys. Rev. D 99 (2019) 046004 [arXiv:1811.06101, doi:10.1103/PhysRevD.99.046004]
Michael Rios, Alessio Marrani, David Chester, Exceptional Super Yang-Mills in $D=27+3$ and Worldvolume M-Theory, Phys. Lett. B 808 (2020) 135674 [arXiv:1906.10709, doi:10.1016/j.physletb.2020.135674]

reviewed in:

Alessio Marrani, Exceptional super Yang-Mills in $27 + 3$ and worldvolume M-theory, talk at M-Theory and mathematics 2023, NYU Abu Dhabi (Jan, 2023) [web]

Last revised on August 17, 2024 at 08:53:15. See the history of this page for a list of all contributions to it.