Abstract
We argue that mathcal{N}=8 supergravity in four dimensions exhibits an exceptional E8(8) symmetry, enhanced from the known E7(7) invariance. Our procedure to demonstrate this involves dimensional reduction of the mathcal{N}=8 theory to d = 3, a field redefinition to render the E8(8) invariance manifest, followed by dimensional oxidation back to d = 4.
Highlights
Of the E7(7) symmetry they have to be broken up into such representations to see the symmetry
Sudarshan Ananth,a Lars Brinkb,c and Sucheta Majumdara aIndian Institute of Science Education and Research, Pune 411008, India bDepartment of Physics, Chalmers University of Technology, S-41296 Goteborg, Sweden cDivision of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore E-mail: ananth@iiserpune.ac.in, lars.brink@chalmers.se, sucheta.majumdar@students.iiserpune.ac.in Abstract: We argue that N = 8 supergravity in four dimensions exhibits an exceptional E8(8) symmetry, enhanced from the known E7(7) invariance
We describe in this paper an entire process involving dimensional reduction, field redefinitions and dimensional oxidation that leads us to conclude that N = 8 supergravity in d = 4 exhibits an exceptional E8(8) symmetry, at least to second order in the coupling constant, enhanced from E7(7)
Summary
Having described the two different forms of maximal supergravity in three dimensions, we are in a position to establish a link between them. We will relate the d = 3 action with a three-point coupling (3.2), obtained from dimensionally reducing (N = 8, d = 4) supergravity to the E8(8) invariant supergravity theory sans a three-point coupling. We will do this through a field redefinition and show that the dimensionally reduced form is invariant under SO(16) transformations, which are non-linearly realized on the superfield
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