2 papers
hep-th2005
Non-associative Gauge Theory
Takayoshi Ootsuka, Erico Tanaka, Eugene Loginov
We present a construction of gauge theory which its structure group is not a Lie group, but a Moufang loop which is essentially non-associative. As an example of non-associative al…
gr-qc2003
Chiral gravity in higher dimensions
Takayoshi Ootsuka, Erico Tanaka, Kousuke Ura
We construct a chiral theory of gravity in 7 and 8 dimensions, which are equivalent to Einstein-Cartan theory using less variables. In these dimensions, we can construct such highe…