Open AccessGeneralised geometry for M-theory
Author(s) -
C.M. Hull
Publication year - 2007
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2007/07/079
Subject(s) - tangent bundle , group (periodic table) , manifold (fluid mechanics) , metric (unit) , mathematics , gauge theory , action (physics) , gauge group , group action , geometry , field (mathematics) , physics , pure mathematics , tangent space , string (physics) , theoretical physics , mathematical physics , quantum mechanics , mechanical engineering , operations management , engineering , economics
Generalised geometry studies structures on a d-dimensional manifold with ametric and 2-form gauge field on which there is a natural action of the groupSO(d,d). This is generalised to d-dimensional manifolds with a metric and3-form gauge field on which there is a natural action of the group $E_{d}$.This provides a framework for the discussion of M-theory solutions with flux. Adifferent generalisation is to d-dimensional manifolds with a metric, 2-formgauge field and a set of p-forms for $p$ either odd or even on which there is anatural action of the group $E_{d+1}$. This is useful for type IIA or IIBstring solutions with flux. Further generalisations give extended tangentbundles and extended spin bundles relevant for non-geometric backgrounds.Special structures that arise for supersymmetric backgrounds are discussed.Comment: 31 page
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