Comments on the four-dimensional effective theory for warped compactification

Dec, 2005
21 pages
Published in:
  • JHEP 03 (2006) 053
e-Print:

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Abstract:
We derive four-dimensional effective theories for warped compactification of the ten-dimensional IIB supergravity and the eleven-dimensional Horava-Witten model. We show that these effective theories allow a much wider class of solutions than the original higher-dimensional theories. In particular, the effective theories have cosmological solutions in which the size of the internal space decreases with the cosmic expansion in the Einstein frame. This type of compactifying solutions are not allowed in the original higher-dimensional theories. This result indicates that the effective four-dimensional theories should be used with caution, if one regards the higher-dimensional theories more fundamental.
  • supergravity models
  • four-dimensional effective theory
  • moduli instability
  • supergravity
  • dimension: 10
  • effective action
  • compactification: flux
  • field equations: solution
  • Horava-Witten model
  • dimension: 11