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Forum index » Science and Technology » Physics » Strings
Can higgs-like potential be derived from string phenomenology?
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yyoon@fas.harvard.edu
science forum beginner


Joined: 05 May 2006
Posts: 2

PostPosted: Thu Jun 22, 2006 2:25 am    Post subject: Can higgs-like potential be derived from string phenomenology? Reply with quote
I just wonder if there are any known models that suggest higgs-like
potential (Sigma a phi_a^2-constant)^2 in string phenomenology.
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Jack Tremarco
science forum beginner


Joined: 19 Jun 2005
Posts: 7

PostPosted: Sat Jul 15, 2006 10:52 am    Post subject: Re: Can higgs-like potential be derived from string phenomenology? Reply with quote
yyoon@fas.harvard.edu wrote:

Quote:
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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