A Superconnection for Riemannian Gravity as Spontaneously Broken SL(4,R) Gauge Theory

Details A Superconnection for Riemannian Gravity as Spontaneously Broken SL(4,R) Gauge Theory A Superconnection for Riemannian Gravity as Spontaneously Broken SL(4,R) Gauge Theory

1997-08-10

arxiv.org/abs/hep-th/9708052v1

Phys.Lett.B427:19-25,1998

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex

Scientific paper

10.1016/S0370-2693(98)00326-8

A superconnection is a supermatrix whose even part contains the gauge-potential one-forms of a local gauge group, while the odd parts contain the (0-form) Higgs fields; the combined grading is thus odd everywhere. We demonstrate that the simple supergroup ${\bar P}(4,R)$ (rank=3) in Kac' classification (even subgroup $\bar {SL}(4,R)$) prverline {SL}(4,R)$) provides for the most economical spontaneous breaking of $\bar{SL}(4,R)$ as gauge group, leaving just local $\bar{SO}(1,3)$ unbroken. As a result, post-Riemannian SKY gravity yields Einstein's theory as a low-energy (longer range) effective theory. The theory is renormalizable and may be unitary.

Affiliated with

Also associated with

No associations

Rating

A Superconnection for Riemannian Gravity as Spontaneously Broken SL(4,R) Gauge 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 A Superconnection for Riemannian Gravity as Spontaneously Broken SL(4,R) Gauge Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Superconnection for Riemannian Gravity as Spontaneously Broken SL(4,R) Gauge Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271866