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      Exactly solved BPS wall and winding number in N=1 Supergravity

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          Abstract

          A BPS exact wall solution is found in N=1 supergravity in four dimensions. The model uses chiral scalar field with a periodic superpotential admitting winding numbers. Maintaining the periodicity in supergravity requires a gravitational correction to superpotential which allows the exact solution. By introducing boundary cosmological constants, we construct non-BPS multi-wall solutions for which a systematic analytic approximation is worked out for small gravitational coupling.

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          A Large Mass Hierarchy from a Small Extra Dimension

          Raman Sundrum, Lisa Randall (1999)
          We propose a new higher-dimensional mechanism for solving the Hierarchy Problem. The Weak scale is generated from a large scale of order the Planck scale through an exponential hierarchy. However, this exponential arises not from gauge interactions but from the background metric (which is a slice of AdS_5 spacetime). This mechanism relies on the existence of only a single additional dimension. We demonstrate a simple explicit example of this mechanism with two three-branes, one of which contains the Standard Model fields. The experimental consequences of this scenario are new and dramatic. There are fundamental spin-2 excitations with mass of weak scale order, which are coupled with weak scale as opposed to gravitational strength to the standard model particles. The phenomenology of these models is quite distinct from that of large extra dimension scenarios; none of the current constraints on theories with very large extra dimensions apply.
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            Modulus Stabilization with Bulk Fields

            Walter D. Goldberger, Mark Wise (1999)
            We propose a mechanism for stabilizing the size of the extra dimension in the Randall-Sundrum scenario. The potential for the modulus field that sets the size of the fifth dimension is generated by a bulk scalar with quartic interactions localized on the two 3-branes. The minimum of this potential yields a compactification scale that solves the hierarchy problem without fine tuning of parameters.
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              Modeling the fifth dimension with scalars and gravity

              O. DeWolfe, A. Karch, S. S. Gubser … (1999)
              A method for obtaining solutions to the classical equations for scalars plus gravity in five dimensions is applied to some recent suggestions for brane-world phenomenology. The method involves only first order differential equations. It is inspired by gauged supergravity but does not require supersymmetry. Our first application is a full non-linear treatment of a recently studied stabilization mechanism for inter-brane spacing. The spacing is uniquely determined after conventional fine-tuning to achieve zero four-dimensional cosmological constant. If the fine-tuning is imperfect, there are solutions in which the four-dimensional branes are de Sitter or anti-de Sitter spacetimes. Our second application is a construction of smooth domain wall solutions which in a well-defined limit approach any desired array of sharply localized positive-tension branes. As an offshoot of the analysis we suggest a construction of a supergravity c-function for non-supersymmetric four-dimensional renormalization group flows. The equations for fluctuations about an arbitrary scalar-gravity background are also studied. It is shown that all models in which the fifth dimension is effectively compactified contain a massless graviton. The graviton is the constant mode in the fifth dimension. The separated wave equation can be recast into the form of supersymmetric quantum mechanics. The graviton wave-function is then the supersymmetric ground state, and there are no tachyons.
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                Author and article information

                Journal
                Publication date Created: 2002-08-18
                Publication date Updated: 2002-09-18
                Article
                DOI: 10.1016/S0370-2693(02)03187-8
                ArXiV ID: hep-th/0208127
                SO-VID: 299232ca-5e83-4b92-83b4-3123eac00c2d
                History
                Custom metadata
                Report No TIT/HEP-482, UT-02-45
                Journal reference Phys.Lett. B553 (2003) 87-95
                Comments 13 pages, 6 figures, final version to appear in Physics Letters B
                Categories hep-th hep-ph

                ScienceOpen disciplines: High energy & Particle physics
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                ScienceOpen disciplines: High energy & Particle physics

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