On Geometrical Interpretation of Non-Abelian Flat Direction Constraints

Cleaver, Gerald; Nanopoulos, Dimitri V.; Perkins, J.; Walker, Joel W.

doi:10.1142/s0217751x0804161x

Cited by 2 publications

(4 citation statements)

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“…This condition can be relaxed when non-Abelian fields acquire VEVs. Self-cancellation of a single component in a given F -term is possible between various VEVs within non-Abelian reps. Self-cancellation was discussed in [16,29] for SU (2) and SO(2n) states. In the optical unification model, self-cancellation is possible through VEVs of SU(3) 3 and3 reps and also through VEVs of SU (5) 5 and 5 reps.…”

Section: Optical Unification Investigationmentioning

confidence: 99%

Section: Optical Unification Investigationmentioning

confidence: 99%

“…In the optical unification model, self-cancellation is possible through VEVs of SU(3) 3 and3 reps and also through VEVs of SU(5) 5 and 5 reps. The SU(n) self-cancelling VEV combinations are extensions of the SU(2) examples presented in [16,29].At least three 3 and3 fields that must receive VEVs for SU(3) self-cancellation. In the minimal case, two VEV fields must be 3's and one VEV field must be a3 (or vice versa).…”

mentioning

confidence: 98%

“…Self-cancellation of fifth, sixth, and tenth order terms endangering F -flatness of these linear combinations require 29) which can be shown to be consistent only with self-cancellation of the first term in (4.28). Several directions that generate mass for not just three, but five independent sets of AĀ were also found (see Table D None of these directions contain two pair of K andK, and thus the self-cancellation condition of (4.27) cannot be imposed.…”

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confidence: 99%

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Stringent phenomenological investigation into heterotic string optical unification

et al. 2007

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For the weakly coupled heterotic string (WCHS) there is a well-known factor of twenty conflict between the minimum string coupling unification scale, Λ H ∼ 5 × 10 17 GeV, and the projected MSSM gauge coupling unification scale, Λ U ∼ 2.5×10 16 GeV, assuming an intermediate scale desert (ISD). From a bottom-up approach, renormalization effects of intermediate scale MSSM-charged exotics (ISME), which are endemic to quasi-realistic string models, can resolve this issue by pushing the MSSM scale up to the string scale. However, for a generic string model, this implies that the projected Λ U unification under the ISD assumption is accidental. * john perkins@baylor.edu † ben dundee@baylor.edu ‡ richard k obousy@baylor.edu § hattst@wwc.edu ¶ ekasper@physics.tamu.edu m robinson@baylor.edu * * cwsloan@edisto.cofc.edu † † zkrs18@imail.etsu.edu ‡ ‡ gerald cleaver@baylor.edu If the true unification scale is Λ H > ∼5.0 × 10 17 GeV, is it possible that an illusionary unification at Λ U = 2.5 × 10 17 GeV in the ISD scenario is not accidental? This is an issue recently raised again by Binétruy et al. [1]. If it is not accidental, then under what conditions would the assumption of ISME in a WCHS model imply an apparent unification at Λ U < Λ H when an ISD is falsely assumed? J. Geidt's optical unification suggests that Λ U is not accidental and provides sufficient conditions for the appearance of Λ U . In fact, through constrained ISME, optical unification offers a mechanism whereby a generic MSSM scale Λ U < Λ H is guaranteed.A WCHS model was recently constructed that offers the possibility of optical unification [20]. Whether optical unification can be realized depends on the availability of anomaly-cancelling D-and F -flat directions meeting certain phenomenological requirements [21]. This paper reports on the systematic investigation of the optical unification properties of a subset of flat directions of this model that are stringently flat. Stringent flat directions can be guaranteed to be F -flat to all finite order (or to at least a given finite order consistent with electroweak scale supersymmetry breaking) and can be viewed as the likely roots of more general flat directions. Analysis of the phenomenology of stringent flat directions gives an indication of the remaining optical unification phenomenology that must be garnered by flat directions developed from them. This paper is a result of the [2003][2004] NSF REU program at Baylor University. 1 Review of Optical UnificationThe lower limit to string coupling unification in a weakly coupled heterotic string (WCHS) was shown by Kaplunovsky in 1992 to be around Λ H ∼ 5 × 10 17 GeV [2]. In contrast, under the scenario of an intermediate scale desert (ISD), the runnings of the SU(3) C ×SU(2) L ×U(1) Y ([321]) couplings in the Minimal Supersymmetric Standard Model (MSSM) predict a unification scale Λ U ∼ 2.5 × 10 16 GeV [3]. The issue of this factor-of-twenty difference was raised again in the third of the Twenty-Five Questions for String Theorists by Binétruy et al. ...

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Section: Optical Unification Investigationmentioning

confidence: 99%