A Note on fluxes and superpotentials in M theory compactifications on manifolds of G(2) holonomy

By C. Beasley, E. Witten. 2002

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We consider the breaking of = 1 supersymmetry by non-zero G-flux when -theory is compactified on a smooth manifold X of G2 holonomy. Gukov has proposed a superpotential W to describe this breaking in the low-energy effective theory. We check this proposal by comparing the bosonic potential implied by W with the corresponding potential deduced from the eleven-dimensional supergravity action. One interesting aspect of this check is that, though W depends explicitly only on G-flux supported on X, W also describes the breaking of supersymmetry by G-flux transverse to X.

Subfields: Astronomy and Astrophysics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/821ffb0371711f76e4e05987fccd32c02d394e93

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Citations in the corpus

F-term axion monodromy inflation (2014, methodology): “Consider for simplicity a Calabi-Yau threefold with h1,1 = 1, so there is one Kähler modulus (7)For a similar computation in the context of M-theory in G2 manifolds see [73].”
Generalized N=1 orientifold compactifications and the Hitchin functionals (2006, background): “SU(3) representations, as done for the G2 analog of (B.17), for example, in ref. [106, 107 ].”
Supersymmetry Breaking and α′-Corrections to Flux Induced Potentials (2002, methodology): “ground fluxes is performed in [22], [23] while the potential for M-theory on G2-holonomy manifolds with fluxes has been computed in [ 24 ].”
More Dual Fluxes and Moduli Fixing (2006, background): “The presence of these two types of fluxes gives rise to a superpotential [42, 43, 40]”
The effective action of type II Calabi‐Yau orientifolds (2004, background): “This submanifold continues to be a product of two components M̃K×M̃Q.”
Type IIA Moduli Stabilization (2005, background): “3 and as discussed in more detail in [26, 13], but may equivalently be thought of as the integrated flux of F6.”