A note on the UV behaviour of maximally supersymmetric Yang-Mills theories

Details A note on the UV behaviour of maximally supersymmetric Yang-Mills theories A note on the UV behaviour of maximally supersymmetric Yang-Mills theories

2009-08-26

arxiv.org/abs/0908.3883v2

Phys.Lett.B682:137-142,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. Minor changes to text. References added

Scientific paper

10.1016/j.physletb.2009.10.084

The question of whether BPS invariants are protected in maximally supersymmetric Yang-Mills theories is investigated from the point of view of algebraic renormalisation theory. The protected invariants are those whose cohomology type differs from that of the action. It is confirmed that one-half BPS invariants ($F^4$) are indeed protected while the double-trace one-quarter BPS invariant ($d^2F^4$) is not protected at two loops in D=7, but is protected at three loops in D=6 in agreement with recent calculations. Non-BPS invariants, i.e. full superspace integrals, are also shown to be unprotected.

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