Problems for (2,0) Compactifications
May, 1986
6 pages
Published in:
- Phys.Lett.B 176 (1986) 403-408
- Published: 1986
Report number:
- CERN-TH-4449/86,
- UMN-TH-563/86
Citations per year
Abstract: (Elsevier)
Several theoretical and phenomenological problems are exposed which impede the construction of realistic low-energy-models based on the superstring using manifolds for which the gauge and spin connections are not identified ( A ≠ ω ), and the world-sheet σ-model has (2, 0) supersymmetry. Single world-sheet instantons generate an effective scalar potential which prevents generic manifolds of this type from being solutions to the equations of motion. They also give large supersymmetry-breaking mass parameters O( m P ) to gauge non-singlet fields. The Green-Schwarz modification to the antisymmetric tensor field strength may not absorb anomalies if ω ≠ A . It is difficult to obtain satisfactory mixing among the supersymmetric Weinberg-Salam Higgs fields, which requires an SU(3)×SU(2)×U(1) singlet field N with vacuum expectation value x ≡〈0∣ N ∣0〉=O( m w ). A Yukawa coupling λ N 3 would yield x =O( m w ), but at the expense of cosmologically unacceptable domain walls. If there is no such Yukawa coupling, the natural value for x is O( m P ).- FIELD THEORETICAL MODEL: SIGMA
- NONLINEAR
- SUPERSYMMETRY: SYMMETRY BREAKING
- MODEL: STRING
- FIELD THEORY: ACTION
- GAUGE FIELD THEORY: SU(3) X SU(2) X U(1)
- Salam-Weinberg model
- EFFECT: INSTANTON
- FIELD THEORY: compactification
- POTENTIAL: SCALAR
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