Remarks on Galois symmetry in rational conformal field theories
Oct, 199311 pages
Published in:
- Phys.Lett.B 323 (1994) 316-321
Report number:
- CPTH-A267-1093,
- IHES-M-93-57,
- CPT-93-PE-2959
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Abstract: (Elsevier)
We show that a recently discovered Galois symmetry is present in the torus partition function of any rational conformal field theory, as well as chiral fusion rings. S matrix elements are linear combinations over Q of roots of unity. An example of ⌢su(2) WZNW theory is discussed.- field theory: conformal
- field theory: rational
- dimension: 2
- phase space: Hilbert space
- partition function
- invariance: modular
- group theory: modular
- algebra: Kac-Moody
- algebra: fusion
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