Stable nonsupersymmetric supergravity solutions from deformations of the Maldacena-Nunez background

Jan, 2002
32 pages
Published in:
  • JHEP 04 (2002) 011
e-Print:
Report number:
  • TAUP-2695-02,
  • WIS-05-02-DPP

Citations per year

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Abstract:
We study a deformation of the type IIB Maldacena-Nunez background which arises as the near-horizon limit of NS5 branes wrapped on a two-cycle. This background is dual to a little string theory compactified on a two-sphere, a theory which at low energies includes four-dimensional N = 1 super Yang-Mills theory. The deformation we study corresponds to a mass term for some of the scalar fields in this theory, and it breaks supersymmetry completely. In the language of seven-dimensional SO(4) gauged supergravity the deformation involves (at leading order) giving a VEV, depending only on the radial coordinate, to a particular scalar field. We explicitly construct the corresponding solution at leading order in the deformation, both in seven-dimensional and in ten-dimensional supergravity, and we verify that it completely breaks supersymmetry. Since the original background had a mass gap and we are performing a small deformation, the deformed background is guaranteed to be stable even though it is not supersymmetric.
  • supergravity
  • membrane model
  • background: deformation
  • field theory: scalar
  • dimension: 7
  • dimension: 10
  • dimension: 6
  • holography
  • string model
  • gauge field theory: SU(N)