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Perturbative Anti-Brane Potentials in Heterotic M-theory

J. Gray 1 A. Lukas B. Ovrut
1 APC - THEORIE
APC (UMR_7164) - AstroParticule et Cosmologie, Institut für theoretische Physik
Abstract : We derive the perturbative four-dimensional effective theory describing heterotic M-theory with branes and anti-branes in the bulk space. The back-reaction of both the branes and anti-branes is explicitly included. To first order in the heterotic strong-coupling expansion, we find that the forces on branes and anti-branes vanish and that the KKLT procedure of simply adding to the supersymmetric theory the probe approximation to the energy density of the anti-brane reproduces the correct potential. However, there are additional non-supersymmetric corrections to the gauge-kinetic functions and matter terms. The new correction to the gauge kinetic functions is important in a discussion of moduli stabilization. At second order in the strong-coupling expansion, we find that the forces on the branes and anti-branes become non-vanishing. These forces are not precisely in the naive form that one may have anticipated and, being second order in the small parameter of the strong-coupling expansion, they are relatively weak. This suggests that moduli stabilization in heterotic models with anti-branes is achievable.
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Submitted on : Friday, April 20, 2007 - 9:47:37 AM
Last modification on : Wednesday, October 21, 2020 - 4:32:12 PM

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J. Gray, A. Lukas, B. Ovrut. Perturbative Anti-Brane Potentials in Heterotic M-theory. Physical Review D, American Physical Society, 2007, 10.1103/PhysRevD.76.066007, pp.066007. ⟨10.1103/PhysRevD.76.066007⟩. ⟨in2p3-00142614⟩

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