Gravitation and quadratic forms

被引:9
|
作者
Ananth, Sudarshan [1 ]
Brink, Lars [2 ,3 ,4 ]
Majumdar, Sucheta [1 ]
Mali, Mahendra [5 ]
Shah, Nabha [1 ]
机构
[1] Indian Inst Sci Educ & Res, Pune 411008, Maharashtra, India
[2] Chalmers Univ Technol, Dept Phys, S-41296 Gothenburg, Sweden
[3] Nanyang Technol Univ, Inst Adv Studies, Singapore 637371, Singapore
[4] Nanyang Technol Univ, Dept Phys & Appl Phys, Singapore 637371, Singapore
[5] Indian Inst Sci Educ & Res, Sch Phys, Thiruvananthapuram 695016, Kerala, India
来源
关键词
Classical Theories of Gravity; Gauge Symmetry; Supergravity Models; Superspaces; YANG-MILLS THEORY; TERMS;
D O I
10.1007/JHEP03(2017)169
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
The light-cone Hamiltonians describing both pure (N = 0) Yang-Mills and N = 4 super Yang-Mills may be expressed as quadratic forms. Here, we show that this feature extends to theories of gravity. We demonstrate how the Hamiltonians of both pure gravity and N = 8 supergravity, in four dimensions, may be written as quadratic forms. We examine the effect of residual reparametrizations on the Hamiltonian and the resulting quadratic form.
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页数:17
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