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#### Supersymmetric AdS(7) and AdS(6) vacua and their consistent truncations with vector multiplets

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1901.11039.pdf

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Malek2019_Article_SupersymmetricAdS7AndAdS6Vacua-1.pdf

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##### Citation

Malek, E., Samtleben, H., & Camell, V. V. (2019). Supersymmetric AdS(7) and AdS(6)
vacua and their consistent truncations with vector multiplets.* Journal of high energy physics: JHEP,*
*2019*(04): 088. doi:10.1007/JHEP04(2019)088.

Cite as: https://hdl.handle.net/21.11116/0000-0002-EE39-3

##### Abstract

Using exceptional field theory we construct supersymmetric warped AdS$_7$

vacua of massive IIA and AdS$_6$ vacua of IIB, as well as their consistent

truncations including vector multiplets. We show there are no consistent

truncations of massive IIA supergravity around its supersymmetric AdS$_7$ vacua

with vector multiplets when the Roman's mass is non-vanishing. For AdS$_6$

vacua of IIB supergravity, we find that in addition to the consistent

truncation to pure $\mathrm{F}(4)$ gauged SUGRA, the only other half-maximal

truncations that are consistent result in $\mathrm{F}(4)$ gauged SUGRA coupled

to one or two Abelian vector multiplets, to three non-Abelian vector

multiplets, leading to an $\mathrm{ISO}(3)$ gauged SUGRA, or to three

non-Abelian plus one Abelian vector multiplet, leading to an $\mathrm{ISO}(3)

\times \mathrm{U}(1)$ gauged SUGRA. These consistent truncations with vector

multiplets exist when the two holomorphic functions that define the AdS$_6$

vacua satisfy certain differential conditions which we derive. We use these to

deduce that no globally regular AdS$_6$ solutions admit a consistent truncation

to $\mathrm{F}(4)$ gauged SUGRA with two vector multiplets, and show that the

Abelian T-dual of the Brandhuber-Oz vacuum allows a consistent truncation to

$\mathrm{F}(4)$ gauged SUGRA with a single vector multiplet.

vacua of massive IIA and AdS$_6$ vacua of IIB, as well as their consistent

truncations including vector multiplets. We show there are no consistent

truncations of massive IIA supergravity around its supersymmetric AdS$_7$ vacua

with vector multiplets when the Roman's mass is non-vanishing. For AdS$_6$

vacua of IIB supergravity, we find that in addition to the consistent

truncation to pure $\mathrm{F}(4)$ gauged SUGRA, the only other half-maximal

truncations that are consistent result in $\mathrm{F}(4)$ gauged SUGRA coupled

to one or two Abelian vector multiplets, to three non-Abelian vector

multiplets, leading to an $\mathrm{ISO}(3)$ gauged SUGRA, or to three

non-Abelian plus one Abelian vector multiplet, leading to an $\mathrm{ISO}(3)

\times \mathrm{U}(1)$ gauged SUGRA. These consistent truncations with vector

multiplets exist when the two holomorphic functions that define the AdS$_6$

vacua satisfy certain differential conditions which we derive. We use these to

deduce that no globally regular AdS$_6$ solutions admit a consistent truncation

to $\mathrm{F}(4)$ gauged SUGRA with two vector multiplets, and show that the

Abelian T-dual of the Brandhuber-Oz vacuum allows a consistent truncation to

$\mathrm{F}(4)$ gauged SUGRA with a single vector multiplet.