Dynamical emergence of extra dimensions and warped geometries

May, 2001
23 pages
Published in:
  • Nucl.Phys.B 612 (2001) 191-214
e-Print:
Report number:
  • NEIP-01-005

Citations per year

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Abstract:
We present four-dimensional gauge theories in Minkowski spacetime which effectively generate in certain energy regimes five-dimensional warped geometries whereas, in general, the fifth dimension is latticized. After discussing in detail several general aspects in such theories we present a number of exactly solvable examples. We also point out how a particular case, defined in an N-sided polygon and having a Z_N symmetry, has a similar realization in an appropriate supersymmetric setting with D3-branes.
Note:
  • 24 pages, latex.v2: references added and remark after eq. (54) erased.v3: extra details on the realizations of the lattice with D3-branes are included in sec. 4.v4: Nucl. Phys. B version Report-no: NEIP-01-005
  • 12.10.-g
  • gauge field theory: SU(N)
  • dimension: 4
  • space-time: Minkowski
  • geometry
  • dimension: 5
  • symmetry: Z(N)
  • supersymmetry
  • membrane model: D-brane
  • continuum limit