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• W3100882831 abstract "We study timelike U-dualities acting in three and four directions of 11-dimensional supergravity, which form the groups SL(2) × SL(3) and SL(5). Using generalised geometry, we find that timelike U-dualities, despite previous conjectures, do not change the signature of the spacetime. Furthermore, we prove that the spacetime signature must be (−, +, . . . , +) when the U-duality modular group is either $ frac{{mathrm{SL}(2)times mathrm{SL}(3)}}{{mathrm{SO}left( {1,1} right)times mathrm{SO}left( {2,1} right)}} $ or $ frac{{mathrm{SL}(5)}}{{mathrm{SO}left( {3,2} right)}} $ . We find that for some dual solutions it is necessary to include a trivector field which is related to the existence of non-geometric fluxes in lower dimensions. In the second part of the paper, we explicitly study the action of the dualities on supergravity solutions corresponding to M2-branes. For a finite range of the transformation, the action of SL(2) × SL(3) on the worldvolume of uncharged M2-branes charges them while it changes the charge of extreme M2-branes. It thus acts as a Harrison transformation. At the limits of the range, we obtain the “subtracted geometries” which correspond to an infinite Harrison boost. Outside this range the trivector field becomes non-zero and we obtain a dual solution that cannot be uniquely written in terms of a metric, 3-form and trivector. Instead it corresponds to a family of solutions linked by a local SO(1, 1) rotation. The SL(5) duality is used to act on a smeared extreme M2-brane giving a brane-like solution carrying momentum in the transverse direction that the brane was delocalised along." @default.
• W3100882831 created "2020-11-23" @default.
• W3100882831 creator A5009856842 @default.
• W3100882831 date "2013-11-01" @default.
• W3100882831 modified "2023-10-16" @default.
• W3100882831 title "Timelike U-dualities in generalised geometry" @default.
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• W3100882831 doi "https://doi.org/10.1007/jhep11(2013)185" @default.
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