Integral invariants in maximally supersymmetric Yang-Mills theories

被引：21

作者：

Bossard, G. ^{[1
,2
]}

Howe, P. S. ^{[3
]}

Lindstrom, U. ^{[4
]}

Stelle, K. S. ^{[5
]}

Wulff, L. ^{[6
]}

机构：

[1] Max Planck Inst Gravitat Phys, AEI, D-14476 Potsdam, Germany

[2] Ecole Polytech, Ctr Phys Theor, UMR 7644, F-91128 Palaiseau, France

[3] Univ London, Univ London Kings Coll, Dept Math, London WC2R 2LS, England

[4] Uppsala Univ, Dept Phys & Astron, SE-75120 Uppsala, Sweden

[5] Univ London Imperial Coll Sci Technol & Med, Theoret Phys Grp, London SW7 2AZ, England

[6] Texas A&M Univ, George & Cynthia Mitchell Inst Fundamental Phys &, College Stn, TX 77843 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2011年 / 05期

基金：

美国国家科学基金会;

关键词：

Extended Supersymmetry; Superspaces; Gauge Symmetry; Field Theories in Higher Dimensions; SUPERGRAVITY THEORIES; SUPERSPACE; BEHAVIOR;

D O I：

10.1007/JHEP05(2011)021

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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.

引用

页数：21

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