Generalised geometry for string corrections

Abstract : We present a general formalism for incorporating the string corrections in generalised geometry, which necessitates the extension of the generalised tangent bundle. Not only are such extensions obstructed, string symmetries and the existence of a well-defined effective action require a precise choice of the (generalised) connection. The action takes a universal form given by a generalised Lichnerowitz--Bismut theorem. As examples of this construction we discuss the corrections linear in $\alpha'$ in heterotic strings and the absence of such corrections for type II theories.
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André Coimbra, Ruben Minasian, Hagen Triendl, Daniel Waldram. Generalised geometry for string corrections. Journal of High Energy Physics, Springer Verlag (Germany), 2014, 2014, pp.160. ⟨10.1007/JHEP11(2014)160⟩. ⟨cea-01310358⟩

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