Integral invariants in maximally supersymmetric Yang-Mills theories
2011 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 5, 021- p.Article in journal (Refereed) Published
Integral invariants in maximally supersymmetric Yang-Mills theories are discussed in spacetime dimensions 4 <= D <= 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 <= 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.
Place, publisher, year, edition, pages
2011. no 5, 021- p.
Extended Supersymmetry, Superspaces, Gauge Symmetry, Field Theories in Higher Dimensions
IdentifiersURN: urn:nbn:se:uu:diva-156230DOI: 10.1007/JHEP05(2011)021ISI: 000291364300021OAI: oai:DiVA.org:uu-156230DiVA: diva2:431432