Metastable Vacua in Perturbed Seiberg-Witten Theories

Ooguri, Hirosi; Ookouchi, Yutaka; Park, Chang Soon

doi:10.4310/atmp.2008.v12.n2.a5

Cited by 23 publications

(76 citation statements)

References 37 publications

(41 reference statements)

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“…As discussed in [24], these vacua fall into two different classes. First, because there is no flux directly threading the compact cycles, the energy cost associated with shrinking them is necessarily finite.…”

Section: Supersymmetric Vacuamentioning

confidence: 99%

“…Equation (2.32) makes manifest the relation between our flux-induced potential (2.30) and that which arises in deformed Seiberg-Witten theory and allows us to utilize the technology developed by Ooguri, Ookouchi, and Park [24] in that context 10 for engineering supersymmetrybreaking vacua. In particular, if we want to realize a nonsupersymmetric minimum at some point X i (0) in the moduli space, the OOP procedure tells us to first construct Kähler normal coordinates [38,39,40], around X i (0) 34) where ∆X i = X i − X i (0) and˜means evaluation at X = X (0) .…”

Section: Oop Mechanismmentioning

confidence: 99%

“…Because the number the supersymmetric vacua is potentially large and their properties quite model-dependent, it is difficult to make general statements about the lifetime of our OOP vacua. Nevertheless, we recall here one observation from [24], namely that the decay rates will in general scale like 42) where ∆z is the distance in field space between the initial and final vacuum state and V + is the difference in their energies. By simultaneously scaling all T m by a common factor, T m → ǫ T m , we can retain our supersymmetry-breaking vacua while decreasing V + by the same factor, V + → ǫV + .…”

Section: Lifetime Of Supersymmetry-breaking Vacuamentioning

confidence: 99%

“…with the following periods 24) where τ ij is the period matrix of the Calabi-Yau, and K im are holomorphic functions of the normalizable-complex structure moduli.…”

Section: Simplifying the Potentialmentioning

confidence: 99%

“…From a phenomenological point of view this possibility is quite attractive, and a lot of activity has been concentrated around extensions of the ISS model and various related string theory constructions [13,14,15,16,17,18,19,20,21,22] (see also [23]). A certain class of gauge theories where supersymmetry breaking in metastable vacua can be studied with good control is that of N = 2 gauge theories perturbed by a small superpotential, initiated by [24]. In such theories the exact Kähler metric on the moduli space is known, which allows one to compute the scalar potential produced by the perturbation of the theory by a small superpotential exactly to first order in the perturbation.…”

Section: Introductionmentioning

confidence: 99%

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Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

Hollands¹,

Marsano²,

Papadodimas³

et al. 2008

J. High Energy Phys.

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We geometrically engineer N = 2 theories perturbed by a superpotential by adding 3-form flux with support at infinity to local Calabi-Yau geometries in type IIB. This allows us to apply the formalism of Ooguri, Ookouchi, and Park [arXiv:0704.3613] to demonstrate that, by tuning the flux at infinity, we can stabilize the dynamical complex structure moduli in a metastable, supersymmetry-breaking configuration. Moreover, we argue that this setup can arise naturally as a limit of a larger Calabi-Yau which separates into two weakly interacting regions; the flux in one region leaks into the other, where it appears to be supported at infinity and induces the desired superpotential. In our endeavor to confirm this picture in cases with many 3-cycles, we also compute the CIV-DV prepotential for arbitrary number of cuts up to fifth order in the glueball fields.

show abstract

Section: Supersymmetric Vacuamentioning

confidence: 99%

Section: Oop Mechanismmentioning

confidence: 99%

Section: Lifetime Of Supersymmetry-breaking Vacuamentioning

confidence: 99%

“…with the following periods 24) where τ ij is the period matrix of the Calabi-Yau, and K im are holomorphic functions of the normalizable-complex structure moduli.…”

Section: Simplifying the Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

Hollands¹,

Marsano²,

Papadodimas³

et al. 2008

J. High Energy Phys.

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Thermal evolution of the non-supersymmetric metastable vacua in $ \mathcal{N}=2 $ SU(2) SYM softly broken to $ \mathcal{N}=1 $

Katifori

Pastras

2013

J. High Energ. Phys.

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It has been shown that four dimensional N = 2 gauge theories, softly broken to N = 1 by a superpotential term, can accommodate metastable nonsupersymmetric vacua in their moduli space. We study the SU (2) theory at high temperatures in order to determine whether a cooling universe settles in the metastable vacuum at zero temperature. We show that the corrections to the free energy because of the BPS dyons are such that may destroy the existence of the metastable vacuum at high temperatures. Nevertheless we demonstrate the universe can settle in the metastable vacuum, provided that the following two conditions are hold: first the superpotential term is not arbitrarily small in comparison to the strong coupling scale of the gauge theory, and second the metastable vacuum lies in the strongly coupled region of the moduli space.

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Baryon and dark matter genesis from strongly coupled strings

Heckman¹,

Rey

2011

J. High Energ. Phys.

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D3-brane probes of E-type Yukawa points lead to strongly coupled nearly conformal sectors nearby the Standard Model (visible sector) which are motivated by F-theory GUTs. Realistic visible sector brane configurations induce a seesaw mass hierarchy in the hidden sector with light GUT singlets charged under a strongly coupled hidden sector U(1). Interpreting these GUT singlets as dark matter, this leads to a matter genesis scenario where the freeze out and subsequent decay of heavy mediators between the two sectors simultaneously populates comparable amounts of baryon and dark matter asymmetry. Generating a net matter asymmetry requires a generational structure in the probe sector which is absent at weak string coupling, but is automatically realized at strong string coupling via towers of dyonic bound states corresponding to multi-prong string junctions. The hidden U(1) couples to the visible sector through both electric and magnetic kinetic mixing terms, providing an efficient means to deplete the symmetric component of dark matter. The mass of the dark matter is of order ∼ 10 GeV. The dark matter mass and the matter asymmetry are both controlled by the scale of conformal symmetry breaking ∼ 10 9 − 10 13 GeV, with the precise relation between the two set by details of the visible sector brane configuration.

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Metastable Vacua in Perturbed Seiberg-Witten Theories

Cited by 23 publications

References 37 publications

Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

Thermal evolution of the non-supersymmetric metastable vacua in $ \mathcal{N}=2 $ SU(2) SYM softly broken to $ \mathcal{N}=1 $

Baryon and dark matter genesis from strongly coupled strings

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