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Can higgs-like potential be derived from string phenomenology?

  1. Oct 11, 2006 #1
    [SOLVED] Can higgs-like potential be derived from string phenomenology?

    I just wonder if there are any known models that suggest higgs-like
    potential (Sigma a phi_a^2-constant)^2 in string phenomenology.
     
  2. jcsd
  3. Oct 11, 2006 #2
    yyoon@fas.harvard.edu wrote:

    > I just wonder if there are any known models that suggest higgs-like
    > potential (Sigma a phi_a^2-constant)^2 in string phenomenology.


    I guess they rely on the subyacent supersymmetrical phenomenology. In
    susy it is usual to generate a higgs like potential by using the
    renormalisation group so that the mass square term becomes negative
    when coming to the scale of the top quark. The trick, discovered by
    Ibañez time ago, works precisaly because the top mass is far from the
    other ones.

    In extra dimensional, non string theories, the higgs field is sometimes
    associated to the extra dimension, specially when this dimension is
    discrete.


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  4. Oct 11, 2006 #3
    yyoon@fas.harvard.edu wrote:

    > I just wonder if there are any known models that suggest higgs-like
    > potential (Sigma a phi_a^2-constant)^2 in string phenomenology.


    The D-term potential you write is completely natural in supersymmetric
    gauge theories in four dimensions with at most eight supercharges (N <=
    2). These gauge theories can be realized on a Hanany-Witten type brane
    configuration in type IIA. Turning on the potential is accomplished by
    introducing a Fayet-Iliopoulos parameter for the diagonal U(1) factor
    of the gauge group. In the brane setup this corresponds to breaking
    each color D4 on a flavor D6 and removing the two halves of the brane
    configuration a finite distance in a flat direction of the internal
    space. From this geometry it is clear that the Higgs phase emanates
    from one specific point on the Coulomb branch and exists only if N_f >=
    N_c.

    Sixteen conserved supercharges in 4d (N=4) would force the potential to
    be flat. Hence the restriction I mentioned.
     
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