Modular Invariants for Affine SU(3) Theories at Prime Heights
Jan, 199026 pages
Published in:
- Commun.Math.Phys. 133 (1990) 305-322
DOI:
Report number:
- CERN-TH-5629/90,
- UCL-IPT-90-01
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Abstract: (Springer)
A proof is given for the existence of two and only two modular invariant partition functions in affine theories at heightsn=k+3 which are prime numbers. Arithmetic properties of the ring of algebraic integers ℤ(ω) which is related toSU(3) weights are extensively used.- field theory: conformal
- field theory: rational
- partition function
- invariance: modular
- group: SU(3)
- algebra: affine
- group theory: representation
- number theory
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