On Chern-Simons (super) gravity, E{sub 8} Yang-Mills and polyvector-valued gauge theories in Clifford spaces
- Center for Theoretical Studies of Physical Systems, Clark Atlanta University, Atlanta, Georgia 30314 (United States)
It is shown how the E{sub 8} Yang-Mills theory is a small sector of a Cl(16) algebra gauge theory and why the 11D Chern-Simons (super) gravity theory can be embedded into a Cl(11) algebra gauge theory. These results may shed some light into the origins behind the hidden E{sub 8} symmetry of 11D supergravity. To finalize, we explain how the Clifford algebra gauge theory (that contains the Chern-Simons gravity action in D=11, for example) can itself be embedded into a more fundamental polyvector-valued gauge theory in Clifford spaces involving tensorial coordinates x{sup {mu}{sub 1}}{sup {mu}{sub 2}},x{sup {mu}{sub 1}}{sup {mu}{sub 2}}{sup {mu}{sub 3}},...,x{sup {mu}{sub 1}}{sup {mu}{sub 2}}{sup ...{mu}{sub D}} in addition to antisymmetric tensor gauge fields A{sub {mu}{sub 1}}{sub {mu}{sub 2}},A{sub {mu}{sub 1}}{sub {mu}{sub 2}}{sub {mu}{sub 3}},...,A{sub {mu}{sub 1}}{sub {mu}{sub 2}}{sub ...{mu}{sub D}}. The polyvector-valued supersymmetric extension of this polyvector valued bosonic gauge theory in Clifford spaces may reveal more important features of a Clifford-algebraic structure underlying M, F theory.
- OSTI ID:
- 20861428
- Journal Information:
- Journal of Mathematical Physics, Vol. 47, Issue 11; Other Information: DOI: 10.1063/1.2363257; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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