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• W4385661973 abstract "A bstract We continue the analysis of the geometry of generic Minkowski $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 1, D = 4 flux compactifications in M-theory using exceptional generalised geometry, including the calculation of the infinitesimal moduli spaces. The backgrounds can be classified into two classes: type-0 and type-3. For type-0, we review how the moduli arise from standard de Rham cohomology classes. We also argue that, under reasonable assumptions, there are no appropriate sources to support compact flux backgrounds for this class and so the only solutions are in fact G 2 geometries. For type-3 backgrounds, given a suitable $$ {partial}^{prime }{overline{partial}}^{prime } $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mi>∂</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:msup> <mml:mover> <mml:mi>∂</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mo>′</mml:mo> </mml:msup> </mml:math> -lemma, we show that the moduli can be calculated from a cohomology based on an involutive sub-bundle of the complexified tangent space. Using a simple spectral sequence we prove quite generally that the presence of flux can only reduce the number of moduli compared with the fluxless case. We then use the formalism to calculate the moduli of heterotic M-theory and show they match those of the dual Hull-Strominger system as expected." @default.
• W4385661973 created "2023-08-09" @default.
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• W4385661973 date "2023-08-07" @default.
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• W4385661973 title "M-theory moduli from exceptional complex structures" @default.
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• W4385661973 doi "https://doi.org/10.1007/jhep08(2023)022" @default.
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