Published March 31, 2017 | Version v1
Journal article

Gravitation and quadratic forms

  • 1. Indian Institute of Science Education and Research,Pune 411008 (India)
  • 2. Institute of Advanced Studies and Department of Physics & Applied Physics,Nanyang Technological University,Singapore 637371 (Singapore)
  • 3. Department of Physics, Chalmers University of Technology,S-41296 Göteborg (Sweden)
  • 4. School of Physics, Indian Institute of Science Education and Research,Thiruvananthapuram, Trivandrum 695016 (India)

Description

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.

Availability note (English)

Available from http://dx.doi.org/10.1007/JHEP03(2017)169; Available from http://repo.scoap3.org/record/19574

Additional details

Publishing Information

Journal Title
Journal of High Energy Physics (Online)
Journal Volume
2017
Journal Issue
03
Journal Page Range
p. 169
ISSN
1029-8479

INIS

Country of Publication
Germany
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
49004321
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
FOUR-DIMENSIONAL CALCULATIONS; GAUGE INVARIANCE; GRAVITATION; HAMILTONIANS; LIGHT CONE; SUPERGRAVITY; SUPERSYMMETRY; YANG-MILLS THEORY
Descriptors DEC
FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; QUANTUM OPERATORS; SPACE-TIME; SYMMETRY; UNIFIED FIELD THEORIES

Optional Information

Copyright
Copyright (c) OPEN ACCESS, © The Authors
Notes
PUBLISHER-ID: JHEP03(2017)169; ARXIV:1702.06261; OAI: oai:repo.scoap3.org:19574
Funding organization
SCOAP3, CERN, Geneva (Switzerland)