Yang-Mills theories and quadratic forms

被引：14

作者：

Ananth, Sudarshan ^{[1
]}

Brink, Lars ^{[2
]}

Mali, Mahendra ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res, Pune 411008, Maharashtra, India

[2] Chalmers Univ Technol, Dept Fundamental Phys, S-41296 Gothenburg, Sweden

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 08期

关键词：

Supersymmetric gauge theory; Extended Supersymmetry; Field Theories in Higher Dimensions; CUBIC INTERACTION TERMS;

D O I：

10.1007/JHEP08(2015)153

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：

We show that the Hamiltonian of (N = 1, d = 10) super Yang- Mills can be expressed as a quadratic form in a very similar manner to that of the (N = 4, d = 4) theory. We find a similar quadratic form structure for pure Yang-Mills theory but this feature, in the non-supersymmetric case, seems to be unique to four dimensions. We discuss some consequences of this feature.

引用

页数：13

共 20 条

[1] Cubic interaction vertices in higher spin theories [J].

Akshay, Y. S. ;

Ananth, Sudarshan .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (04)

[2] Non-linear realization of PSU(2, 2|4) on the light-cone [J].

Ananth, S ;

Brink, L ;

Kim, SS ;

Ramond, P .

NUCLEAR PHYSICS B, 2005, 722 (1-2) :166-190

[3]

Ananth S, 2004, J HIGH ENERGY PHYS

[4] The quintic interaction vertex in light-cone gravity [J].

Ananth, Sudarshan .

PHYSICS LETTERS B, 2008, 664 (03) :219-223

[5] KLT relations from the Einstein-Hilbert Lagrangian [J].

Ananth, Sudarshan ;

Theisen, Stefan .

PHYSICS LETTERS B, 2007, 652 (2-3) :128-134

[6] The N=8 supergravity Hamiltonian as a quadratic form [J].

Ananth, Sudarshan ;

Brink, Lars ;

Heise, Rainer ;

Svendsen, Harald G. .

NUCLEAR PHYSICS B, 2006, 753 (1-2) :195-210

[7] Spinor helicity structures in higher spin theories [J].

Ananth, Sudarshan .

JOURNAL OF HIGH ENERGY PHYSICS, 2012, (11)

[8] GRAVITY AND YANG-MILLS THEORY [J].

Ananth, Sudarshan .

INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2010, 19 (14) :2379-2384

[9] CUBIC INTERACTION TERMS FOR ARBITRARILY EXTENDED SUPERMULTIPLETS [J].

BENGTSSON, AKH ;

BENGTSSON, I ;

BRINK, L .

NUCLEAR PHYSICS B, 1983, 227 (01) :41-49

[10] CUBIC INTERACTION TERMS FOR ARBITRARY SPIN [J].

BENGTSSON, AKH ;

BENGTSSON, I ;

BRINK, L .

NUCLEAR PHYSICS B, 1983, 227 (01) :31-40

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