Football shaped extra dimensions and the absence of self-tuning

Jun, 2004
8 pages
Published in:
  • JHEP 08 (2004) 028
e-Print:

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Abstract:
There have been some recent claims that brane-worlds of co-dimension two in a 6D bulk with compact extra dimensions may lead to self-tuning of the effective 4D cosmological constant. Here we show that if a phase transition occurs on a flat brane, so as to change its tension, then the brane will not remain flat. In other words, there is really no self-tuning in such models, which can in fact be understood in four-dimensional terms and are therefore subject to Weinberg's no-go theorem.
  • membrane model
  • dimension: 6
  • compactification
  • supergravity
  • cosmological constant
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