Mass formulae and natural hierarchy in string effective supergravities
May, 199439 pages
Published in:
- Nucl.Phys.B 429 (1994) 589-625,
- Nucl.Phys.B 433 (1995) 255-255 (erratum)
e-Print:
- hep-th/9405188 [hep-th]
DOI:
Report number:
- CERN-TH-7192-94,
- LPTENS-94-12,
- UCLA-94-TEP-13
Citations per year
Abstract: (Elsevier)
We study some conditions for the hierarchy m 3 2 ⪡ M P to occur naturally in a generic effective supergravity theory. Absence of fine-tunuinf and perturbative calculabilty require that the effective potential has a sliding gravitino mass and vanishing cosmological constant, up to O(m 3 2 4 ) corrections. In particular, cancellation of quadratically divergent contributions to the one-loop effective potential should take place, including the ‘hidden sector’ of the theory. We show that these conditions can be met in the effective supergravities derived from four-dimensional superstrings, with supersymmetry broken either at the string tree-level via compactification, or by non-perturbative effects such as gaugino condensation. A crucial role is played by some approximate scaling symmetries, which are remnants of discrete target-space dualities in the large moduli limit. We derive explicit formulae for the soft breaking terms arising from this class of ‘large hierarchy compatible’ (LHC) supergravities.Note:
- 40 pages, no figures, CERN-TH.7192/94, LPTENS -94/12, UCLA/94/TEP13 (plain LATEX, to be run twice). Some trivial misprints and references have been corrected
- supergravity
- effective potential
- mass: hierarchy
- hierarchy: mass
- mass formula
- string model
- supersymmetry
- symmetry breaking: nonperturbative
- symmetry: scaling
- invariance: modular
References(170)
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