Abstract
We describe how one may use either the superPoincar\'e algebra or the exceptional algebra to construct maximal supergravity theories in the light-cone formalism. The d=4 construction shows both symmetries albeit in a non-linearly realized manner. In d=11, we find that we have to choose which of these two symmetries to use, in constructing the theory. In order to understand the other "unused" symmetry, one has to perform a highly non-trivial field redefinition. We argue that this shows that one cannot trust counterterm arguments that do not take the full symmetry of the theory into account. Finally we discuss possible consequences for Superstring theory and M-theory.
Highlights
The superfieldIn [8] it is shown how this may be used to construct the interaction terms of the theory
In more recent work, Bern, Dixon and collaborators [5] have established a program to compute higher loop orders in four-graviton scattering
We describe how one may use either the superPoincare algebra or the exceptional algebra to construct maximal supergravity theories in the light-cone formalism
Summary
In [8] it is shown how this may be used to construct the interaction terms of the theory In this respect, the E7(7) symmetry is as fundamental a symmetry as supersymmetry. Let us concentrate on Qαφ - since this is a gravity theory the dynamical supersymmetry generator must be linear in transverse derivatives to all orders - here we construct it to order κ. Where ωm are the parameters of the SO(9)/(SO(7) × SO(2)) coset transformations This check is straightforward to perform and the only relevant terms in the variation all involve one SO(2) derivative and one ∂m. Which √needs to vanish for invariance under the relevant coset group This determines σ = − 2 and fixes the generalized derivative entirely.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
