Integral invariants in maximally supersymmetric Yang-Mills theories

Details Integral invariants in maximally supersymmetric Yang-Mills theories Integral invariants in maximally supersymmetric Yang-Mills theories

2010-12-14

arxiv.org/abs/1012.3142v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 1 table

Scientific paper

Integral invariants in maximally supersymmetric Yang-Mills theories are discussed in spacetime dimensions $4\leq D\leq 10$ for $SU(k)$ gauge groups. It is shown that, in addition to the action, there are three special invariants in all dimensions. Two of these, the single- and double-trace $F^4$ invariants, are of Chern-Simons type in $D=9,10$ and BPS type in $D\leq 8$, while the third, the double-trace of two derivatives acting on $F^4$, can be expressed in terms of a gauge-invariant super-$D$-form in all dimensions. We show that the super-ten-forms for $D=10$ $F^4$ invariants have interesting cohomological properties and we also discuss some features of other invariants, including the single-trace $d^2 F^4$, which has a special form in $D=10$. The implications of these results for ultra-violet divergences are discussed in the framework of algebraic renormalisation.

Affiliated with

Also associated with

No associations

Rating

Integral invariants in maximally supersymmetric Yang-Mills theories 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 Integral invariants in maximally supersymmetric Yang-Mills theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integral invariants in maximally supersymmetric Yang-Mills theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-180519