Abstract
We construct the exceptional sigma model: a two-dimensional sigma model coupled to a supergravity background in a manifestly (formally) E_{D(D)}-covariant manner. This formulation of the background is provided by exceptional field theory (EFT), which unites the metric and form fields of supergravity in E_{D(D)} multiplets before compactification. The realization of the symmetries of EFT on the world sheet uniquely fixes the Weyl-invariant Lagrangian and allows us to relate our action to the usual type-IIA fundamental string action and a form of the type-IIB (m, n) action. This uniqueness "predicts" the correct form of the couplings to gauge fields in both Neveu-Schwarz and Ramond sectors, without invoking supersymmetry.
Highlights
The usual way to search for realistic lower-dimensional physics from string or M theory is to compactify
The search for reformulations of string theory, in which the enlarged symmetries exhibited by these dualities are apparent before compactification, begins with the construction of “duality symmetric” models [3,4,5,6,7]
The sigma model’s target space is doubled, and the coordinates appearing on the world sheet are the doubled pair ðY; Y Þ
Summary
; ð1Þ where the deviation from the usual form of the Lie derivative is due to the final term involving. Which is constructed from OðD; DÞ or EDðDÞ invariant tensors (see [19]). Coordinate dependence, in principle, can be on any of the YM, but this is, constrained, as follows from closure of algebra of generalized diffeomorphisms, for which we impose the “section condition”. A choice of physical Yi coordinates satisfying this is a choice of “section.” Such a choice breaks OðD; DÞ or EDðDÞ, and it establishes the link to the usual formulation of supergravity without extended coordinates. There is an ambiguity in the choice of section. This corresponds to the usual notion of duality
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