Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory

Details Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory

2008-07-10

arxiv.org/abs/0807.1570v2

JHEP 0812:037,2008

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, no figures

Scientific paper

10.1088/1126-6708/2008/12/037

We argue that one can relax the requirements of the non-associative three-algebras recently used in constructing D=3, N=8 superconformal field theories, and introduce the notion of ``relaxed three-algebras''. We present a specific realization of the relaxed three-algebras in terms of classical Lie algebras with a matrix representation, endowed with a non-associative four-bracket structure which is prescribed to replace the three-brackets of the three-algebras. We show that both the so(4)-based solutions as well as the cases with non-positive definite metric find a uniform description in our setting. We discuss the implications of our four-bracket representation for the D=3, N=8 and multi M2-brane theory and show that our setup can shed light on the problem of negative kinetic energy degrees of freedom of the Lorentzian case.

Affiliated with

Also associated with

No associations

Rating

Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-459329