Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2014)064
Keywords
Flux compactifications; AdS-CFT Correspondence; Superstring Vacua
Categories
Funding
- Graduiertenkolleg GRK 1463 Analysis, Geometry and String Theory
- ERC Advanced Grant SyDuGraM, by IISN-Belgium [4.4514.08]
- Communaute Francaise de Belgique through the ARC program
- INFN
- MIUR-FIRB [RBFR10QS5J]
- MIUR-PRIN [2009-KHZKRX]
- European Research Council under the European Union [307286 (XD-STRING)]
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In M-theory, the only AdS(7) supersymmetric solutions are AdS(7) x S-4 and its orbifolds. In this paper, we find and classify new supersymmetric solutions of the type AdS(7) x M-3 in type II supergravity. While in IIB none exist, in IIA with Romans mass (which does not lift to M-theory) there are many new ones. We use a pure spinor approach reminiscent of generalized complex geometry. Without the need for any Ansatz, the system determines uniquely the form of the metric and fluxes, up to solving a system of ODEs. Namely, the metric on M-3 is that of an S-2 fibered over an interval; this is consistent with the Sp(1) R-symmetry of the holographically dual (1,0) theory. By including D8 brane sources, one can numerically obtain regular solutions, where topologically M-3 congruent to S-3.
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