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arXiv · hep-th/0212255

Calabi-Yau Fourfolds with Flux and Supersymmetry Breaking

Marcus Berg·Michael Haack·Henning Samtleben
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Abstract

In Calabi-Yau fourfold compactifications of M-theory with flux, we investigate the possibility of partial supersymmetry breaking in the three-dimensional effective theory. To this end, we place the effective theory in the framework of general N=2 gauged supergravities, in the special case where only translational symmetries are gauged. This allows us to extract supersymmetry-breaking conditions, and interpret them as conditions on the 4-form flux and Calabi-Yau geometry. For N=2 unbroken supersymmetry in three dimensions we recover previously known results, and we find a new condition for breaking supersymmetry from N=2 to N=1, i.e. from four to two supercharges. An example of a Calabi-Yau hypersurface in a toric variety that satisfies this condition is provided.

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Marcus Berg, Michael Haack, Henning Samtleben. 2002-12-19. Calabi-Yau Fourfolds with Flux and Supersymmetry Breaking. https://doi.org/10.1088/1126-6708%2F2003%2F04%2F046

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