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E$_{6(6)}$ Exceptional Field Theory: Review and Embedding of Type IIB

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 نشر من قبل Olaf Hohm
 تاريخ النشر 2015
  مجال البحث
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We review E$_{6(6)}$ exceptional field theory with a particular emphasis on the embedding of type IIB supergravity, which is obtained by picking the GL$(5)times {rm SL}(2)$ invariant solution of the section constraint. We work out the precise decomposition of the E$_{6(6)}$ covariant fields on the one hand and the Kaluza-Klein-like decomposition of type IIB supergravity on the other. Matching the symmetries, this allows us to establish the precise dictionary between both sets of fields. Finally, we establish on-shell equivalence. In particular, we show how the self-duality constraint for the four-form potential in type IIB is reconstructed from the duality relations in the off-shell formulation of the E$_{6(6)}$ exceptional field theory.



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