Meta-stable%20Supersymmetry%20Breaking%20in%20an%20N=1%20Perturbed%20Seiberg-Witten%20Theory

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Meta-stable Supersymmetry Breaking in an N1
Perturbed Seiberg-Witten Theory

• Shin Sasaki
• (Univ. of Helsinki, Helsinki Inst. of Physics)
• Phys. Rev. D76 (2007) 125009, arXiv0708.0668
  hep-th
• JHEP 03 (2008) 004, arXiv0712.4252 hep-th
• (M.Arai, C.Montonen, N.Okada and S.S)

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IntroductionMeta-stable SUSY breaking?

• Dynamical SUSY breaking
• ?hierarchy problem can be solved Witten (1981)
• Witten index of SUSY vacua in a model Witten
  (1982)
• ?very restricted models have been considered
  before the discovery of the ISS model
• ? meta-stable SUSY breaking vacua

Intriligator-Seiberg-Shih (2006)
N2 SQCD ? non-perturbative analysis is possible
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Four-dimensional N2 SQCD with FI term
perturbation
Arai-Montonen-Okada-S.S, arXiv0708.0668
hep-th
?Quantum Theory Seiberg-Witten analysis
Seiberg-Witten (1994)
Exact effective potential can be obtained
and stational point was analyzed
There is a meta-stable SUSY breaking vacuum at
the dyon singular point in the moduli space
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The model
Arai-Montonen-Okada-S.S, arXiv0712.4252
hep-th
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N1 preserving adjoint scalar mass deformation to
N2 SQCD
Classical SUSY vacua on the Coulomb branch
Classical SUSY vacua on the Higgs branch
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Quantum theory
Coulomb branch in vanishing FI term
?Moduli space is constrained
U(1) part is always weak
Arai-Okada (2001)
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SUSY preserving part
Vector multiplet part
Hypermultiplets ?Light BPS states around singular
points in moduli space
M corresponds to dyons, monopoles, quarks
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Stational points in Hypermultiplet directions
Energies corresponding to these solutions are
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Prepotential ? Metric of the moduli space is
determined
?Same structure with SU(2) massive SQCD (common
quark hypermultiplet mass)
C is a free parameter which defines the Landau
pole scale Arai-Okada (2001)
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There are three singularities in our model
(dyons, monople, quark)
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Degenerate dyon and monopole
Left and right dyons and quark
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Numerical analysis
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Potential behavior around the monopole singular
point
Potential plot Complex
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Potential around dyon singular points
? SUSY vacuum at
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monopole
Left, right dyons
right dyon
quark
SUSY vacua
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If we turn on which produce a vacuum
at a point different from as SUSY vacua,
the full effective action would contain SUSY
breaking vacua This is similar to the
Izawa-Yanagida-Intriligator-Thomas (IYIT) model
Izawa-Yanagida (1996), Intriligator-Thomas
(1996)
Izawa-Yanagida-Intriligator-Thomas (IYIT)
mechanism
U(1) part is essential in our model
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The behavior of the degenerate dyon singular
point is the same with the monopole one?
symmetry
Two SUSY breaking local minima at the degenerated
dyon and monopole singular points
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Global structure of the full potential
Meta-stable SUSY breaking minima
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Decay rate estimation
Coulomb branch
Higgs branch
Higgs branch ? no quantum corrections ? Classical
SUSY vacua remains intact
The bounce action can be estimated from the
classical potential
can be taken to be large ? meta-stable vacua
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Summary and perspective

• gauge theory
  with
• hypermultiplets perturbed by
  adjoint mass and FI-terms
• We have found meta-stable SUSY breaking vacua in
  the non-perturbative effective potential via the
  Seiberg-Witten analysis
• Long-lived local minimum
• The SUSY breaking mechanism presented here is
  similar to the one in the IYIT model
• Generalization to arbitrary by the help
  of brane configurations