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Generalised geometry for string corrections

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arxiv 1407.7542 v2 pith:NPDNLQZR submitted 2014-07-28 hep-th math.DG

André Coimbra , Ruben Minasian , Hagen Triendl , Daniel Waldram This is my paper
classification hep-thmath.DG
keywords generalisedcorrectionsstringactiongeometryabsencealphabundle
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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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Cited by 2 Pith papers

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  1. Stringy Corrections to Heterotic SU(3)-Geometry

    hep-th 2025-07 accept novelty 6.0 of 10

    At second order in alpha', heterotic SU(3) compactifications with a smooth large-radius limit obey the same complex geometric equations as Strominger's first-order system, and the Hull connection is not an instanton.

  2. Mega-Space Current Algebra and Green-Schwarz Geometry in Heterotic String Theory

    hep-th 2026-07 conditional novelty 5.0 of 10

    A Poláček-Siegel mega-space current algebra with Lorentz and heterotic gauge sectors embeds Chern-Simons structures and yields a Green-Schwarz-like Bianchi identity from Jacobi identities, without the α′ tr(R∧R) term.

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