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@article{Coimbra:2016:12/125026,
author = {Coimbra, A and Strickland-Constable, C and Waldram, D},
doi = {12/125026},
journal = {Classical and Quantum Gravity},
title = {Supersymmetric backgrounds and generalised special holonomy},
url = {http://dx.doi.org/10.1088/0264-9381/33/12/125026},
volume = {33},
year = {2016}
}

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TY  - JOUR
AB  - We define intrinsic torsion in generalised geometry and use it to introduce a new notion of generalised special holonomy. We then consider generic warped supersymmetric flux compactifications of M theory and Type II of the form ${{\mathbb{R}}}^{D-\mathrm{1,1}}\times M$. Using the language of ${E}_{d(d)}\times {{\mathbb{R}}}^{+}$ generalised geometry, we show that, for $D\geqslant 4$, preserving minimal supersymmetry is equivalent to the manifold M having generalised special holonomy and list the relevant holonomy groups. We conjecture that this result extends to backgrounds preserving any number of supersymmetries. As a prime example, we consider ${ \mathcal N }=1$ in D = 4. The corresponding generalised special holonomy group is ${SU}(7)$, giving the natural M theory extension to the notion of a G 2 manifold, and, for Type II backgrounds, reformulating the pure spinor ${SU}(3)\times {SU}(3)$ conditions as an integrable structure.
AU  - Coimbra,A
AU  - Strickland-Constable,C
AU  - Waldram,D
DO  - 12/125026
PY  - 2016///
SN  - 1361-6382
TI  - Supersymmetric backgrounds and generalised special holonomy
T2  - Classical and Quantum Gravity
UR  - http://dx.doi.org/10.1088/0264-9381/33/12/125026
UR  - http://hdl.handle.net/10044/1/38571
VL  - 33
ER  -

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