Moduli stabilization in higher dimensional brane models

Feb, 2003
24 pages
Published in:
  • JHEP 08 (2003) 053
e-Print:
Report number:
  • YITP-01-85,
  • UAB-FT-539

Citations per year

2003200820132018202302468
Abstract:
We consider a class of warped higher dimensional brane models with topology M×Σ×S1/Z2M \times \Sigma \times S^1/Z_2, where Σ\Sigma is a D2D_2 dimensional manifold. Two branes of codimension one are embedded in such a bulk space-time and sit at the orbifold fixed points. We concentrate on the case where an exponential warp factor (depending on the distance along the orbifold) accompanies the Minkowski MM and the internal space Σ\Sigma line elements. We evaluate the moduli effective potential induced by bulk scalar fields in these models, and we show that generically this can stabilize the size of the extra dimensions. As an application, we consider a scenario where supersymmetry is broken not far below the cutoff scale, and the hierarchy between the electroweak and the effective Planck scales is generated by a combination of redshift and large volume effects. The latter is efficient due to the shrinking of Σ\Sigma at the negative tension brane, where matter is placed. In this case, we find that the effective potential can stabilize the size of the extra dimensions (and the hierarchy) without fine tuning provided that the internal space Σ\Sigma is flat.
  • membrane model
  • dimension: >4
  • moduli space
  • stability
  • Kaluza-Klein model
  • dimensional reduction
  • effective action
  • energy: Casimir
  • perturbation theory: higher-order
  • renormalization