We give an explicit expression for the primitive E8-invariant tensor with eight symmetric indices. The result is presented in a manifestly spin(16)Z2-covariant notation.

1.
B.
Julia
,
NATO Advanced Study Institute on Strings, Branes and Dualities
, Cargese, France, May 26-June 14
1997
and ICTP Conference on Super Five Brane Physics in 5+1 Dimensions, Trieste, Italy, April 1-3, 1998;
2.
T.
Damour
and
H.
Nicolai
,
Class. Quantum Grav.
22
,
2849
(
2005
);
N.
Lambert
and
P.
West
,
Phys. Rev. D
74
,
065002
(
2006
);
T.
Damour
,
A.
Hanany
,
M.
Henneaux
,
A.
Kleinschmidt
, and
H.
Nicolai
,
Gen. Relativ. Gravit.
38
,
1507
(
2006
);
3.
J. E.
Humphreys
,
Reflection Groups and Coxeter Groups
(
Cambridge University Press
,
Cambridge
,
1990
).
4.
J.
Dixmier
,
Enveloping Algebras
(
North-Holland
,
Amsterdam
,
1977
).
5.
V. G.
Kac
,
Proc. Natl. Acad. Sci. U.S.A.
81
,
645
(
1984
).
6.
J.
Fuchs
and
C.
Schweigert
,
Symmetries, Lie Algebras and Representations
(
Cambridge University Press
,
Cambridge
,
1997
).
7.
A. M.
Cohen
,
M.
van Leeuwen
, and
B.
Lisser
, LIE version 2.2,
1998
(http://wallis.univ-poitiers.fr/maavl/LiE/).
8.
U.
Gran
, GAMMA, a MATHEMATICA package for performing gamma-matrix algebra and Fierz transformations in arbitrary dimensions;
You do not currently have access to this content.