THE LOW LEVEL MODULAR-INVARIANT PARTITION FUNCTIONS OF RANK-TWO ALGEBRAS

@inproceedings{Gannon1994THELL,
  title={THE LOW LEVEL MODULAR-INVARIANT PARTITION FUNCTIONS OF RANK-TWO ALGEBRAS},
  author={Terry Gannon and Quang Ho-Kim},
  year={1994}
}
Using the self-dual lattice method, we make a systematic search for modular invariant partition functions of the affine algebras g of g = A2, A1 + A1, G2, and C2. Unlike previous computer searches, this method is necessarily complete. We succeed in finding all physical invariants for A2 at levels ≤ 32, for G2 at levels ≤ 31, for C2 at levels ≤ 26, and for A1 + A1 at levels k1 = k2 ≤ 21. This work thus completes a recent A2 classification proof, where the levels k = 3, 5, 6, 9, 12, 15, 21 had… CONTINUE READING

Tables and Topics from this paper.

Explore Further: Topics Discussed in This Paper

References

Publications referenced by this paper.
SHOWING 1-10 OF 25 REFERENCES

Int

J. Fuchs, A. Klemm, M. Schmidt, D. Verstegen
  • J. Mod. Phys. A 7, 2245
  • 1992
VIEW 6 EXCERPTS
HIGHLY INFLUENTIAL

Nucl

J. L. Cardy
  • Phys B270, 186
  • 1986
VIEW 12 EXCERPTS
HIGHLY INFLUENTIAL

Commun

M. Bauer, C. Itzykson
  • Math. Phys. 127, 617 (1990); Ph. Ruelle, Commun. Math. Phys. 133, 181
  • 1990
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

Phys

W. Lerche, A. N. Schellekens, N. P. Warner
  • Reports 177, 1
  • 1989
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Nucl

A. N. Schellekens, S. Yankielowicz
  • Phys. B327, 673 (1989); A. N. Schellekens, Phys. Lett. B 244, 255 (1990); B. Gato-Rivera and A. N. Schellekens, Commun. Math. Phys. 145, 85
  • 1992

Phys

P. Roberts
  • Lett. B244, 429 (1990); P. Roberts and H. Terao, Int. J. Mod. Phys. A 7, 2207
  • 1992

Rev

T. Gannon, C. S. Lam
  • Math. Phys. 3, 331
  • 1991
VIEW 2 EXCERPTS

Similar Papers

Loading similar papers…