TY - JOUR

T1 - Problems for (2, 0) compactifications

AU - Ellis, John

AU - Enqvist, K.

AU - Nanopoulos, D. V.

AU - Olive, K.

AU - Quirós, M.

AU - Zwirner, F.

N1 - Funding Information:
We thank L. Bonora for explaining ref. \[17\] to us. One of us (F.Z.) acknowledges partial financial support from the Fondazione Ing. A. Gini.

PY - 1986/8/28

Y1 - 1986/8/28

N2 - 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(mP) 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{divides}N{divides}0〉=O(mw). A Yukawa coupling λN3 would yield x=O(mw), but at the expense of cosmologically unacceptable domain walls. If there is no such Yukawa coupling, the natural value for x is O(mP).

AB - 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(mP) 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{divides}N{divides}0〉=O(mw). A Yukawa coupling λN3 would yield x=O(mw), but at the expense of cosmologically unacceptable domain walls. If there is no such Yukawa coupling, the natural value for x is O(mP).

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U2 - 10.1016/0370-2693(86)90185-1

DO - 10.1016/0370-2693(86)90185-1

M3 - Article

AN - SCOPUS:0001412060

VL - 176

SP - 403

EP - 408

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -