Half‐Maximal Supersymmetry from Exceptional Field Theory

Half‐Maximal Supersymmetry from Exceptional Field Theory
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发表时间:
2017
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影响因子:
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通讯作者:
E. Malek
E. Malek
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作者:
E. Malek

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We study D≥4 ‐dimensional half‐maximal flux backgrounds using exceptional field theory. We define the relevant generalised structures and also find the integrability conditions which give warped half‐maximal MinkowskiD and AdSD vacua. We then show how to obtain consistent truncations of type II / 11‐dimensional SUGRA which break half the supersymmetry. Such truncations can be defined on backgrounds admitting exceptional generalised SO (d−1−N) structures, where d=11−D , and N is the number of vector multiplets obtained in the lower‐dimensional theory. Our procedure yields the most general embedding tensors satisfying the linear constraint of half‐maximal gauged SUGRA. We use this to prove that all D≥4 half‐maximal warped AdSD and MinkowskiD vacua of type II / 11‐dimensional SUGRA admit a consistent truncation keeping only the gravitational supermultiplet. We also show to obtain heterotic double field theory from exceptional field theory and comment on the M‐theory / heterotic duality. In five dimensions, we find a new SO(5, N) double field theory with a (6+N) ‐dimensional extended space. Its section condition has one solution corresponding to 10‐dimensional N=1 supergravity and another yielding six‐dimensional N=(2,0) SUGRA.
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