On classification of N=2 supersymmetric theories
Nov, 1992116 pages
Published in:
- Commun.Math.Phys. 158 (1993) 569-644
e-Print:
- hep-th/9211097 [hep-th]
DOI:
Report number:
- HUTP-92-A064,
- SISSA-203-92-EP
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Abstract:
We find a relation between the spectrum of solitons of massive quantum field theories in and the scaling dimensions of chiral fields at the conformal point. The condition that the scaling dimensions be real imposes restrictions on the soliton numbers and leads to a classification program for symmetric conformal theories and their massive deformations in terms of a suitable generalization of Dynkin diagrams (which coincides with the A--D--E Dynkin diagrams for minimal models). The Landau-Ginzburg theories are a proper subset of this classification. In the particular case of LG theories we relate the soliton numbers with intersection of vanishing cycles of the corresponding singularity; the relation between soliton numbers and the scaling dimensions in this particular case is a well known application of Picard-Lefschetz theory.- field equations: soliton
- field theory: massive
- massive: field theory
- dimension: 2
- field theory: conformal
- supersymmetry
- Landau-Ginzburg model
- model: minimal
- sigma model
- charge: chiral
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