Schwarz's function and chiral potts model

Helvetica Physica Acta

Volumn 71, Issue 3, 1998, Pages 242-261

  Roan, Shi Shyr ^a  

^a INSTITUTE OF MATHEMATICS   (Taiwan)

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EID: 23844505357     PISSN: 00180238     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. G. Albertini, B. M. McCoy, J. H. H. Perk, Eigenvalue spectrum of the superintegrable chiral Potts model, Adv. Stud. Pure Patm. 19 (1989) 1-55.
2. G. Albertini, B. M. McCoy, J. H. H. Perk, S. Tang, Excitation spectrum and order parameter for the integrable N-state chiral Potts model, Nucl. Phys. B314 (1989) 741-763.
3. M. Alishahiha, On the Picard-Fuchs equations of the SW models, hep-th/9609157.
4. H. Au-Yang, B. M. McCoy, J. H. H. Perk, S. Tang and M. L. Yan, Commuting transfer matrices in the chiral Potts models: solutions of star-triangle equations with genus > 1, Phys. Lett. 123A (1987) 219-223.
5. P. C. Argyres and A. Faraggi, The vacuum structure and spectrum of N = 2 supersymmetric Yang-Mills theory, Phys. Rev. Lett. 74 (1995) 3931-3934, hep-th/9411057.
6. H. Bateman, Higher transcendental functions, Vol. I , (1953) McGraw-Hill Inc.
7. R. J. Baxter, Exactly sovlved models in statistical mechanins, Academic Press, London, 1982.
8. R. J. Baxter, The superintegrable chiral Potts model, Phys. Lett. A133 (1988) 185-189.
9. R. J. Baxter, V. V. Bazhanov and J. H. H. Perk, Functional relations for transfer matrices of the chiral Potts model, Intnl. J. Mod. Phys. B4 (1990) 803-870.
10. R. J. Baxter, J. H. H. Perk and H. Au-Yang, New solutions of the star-triangle relations for the chiral Potts model, Phyts. Lett. 128 (1988) 138-142.
11. R. J. Baxter, Hyperelliptic function parametrization for the chiral Potts model, Proceedings of the International Congress of Mathematician, Kyoto (1990) 1305-1317.
12. A. Brandhuber and K. Landsteiner, On the monodromies of N = 2 supersymmetric Yang-Mills theory with gauge group SO(2N), hep-th/9507008.
13. B. Dwork, On the Zeta function of a hypersurface, Pub. Math. I.H.E.S., 12 (1962) 5-68.
14. U. H. Danielsson and B. Sundborg, The moduli space and monodromies of N = 2 supersymmetric SO(2R + 1) Yang-Mills theory, hep-th/9504102.
15. J. Fay, Theta functions on Riemann surfaces, Springer-Verlag Lecture Notes in Math. 352.
16. P. Griffiths, On the periods of certain rational integrals: I and II, Ann. of Math. 90 (1969) 460-495 and 498-541.
17. A. Gorskii, I. Krichever, A. Marshakov, A. Mironov and A. Morozov, Integrability and Ssiberg-Witten exact solution, Phys. Lett. B355 (1995) 466-474, hep-th/9505035.
18. D. Hoffman and W. H. Meeks, III, Embedded minimal surfaces of finite topology, Ann. of Math. 131 (1990) 1-34.
19. A. Klemm, W. Lerche, S. Yankielowicz and S. Theisen, Simple singularities and N = 2 supersymmetric Yang-Mills theory, Phys. Lett. B344 (1995) 169-175, hep-th/9411048.
20. A. Klemm, W. Lerche and S. Theisen, Int. J. Mod. Phys. A 11 (1996) 1929, hep-th/9505150.
21. J. M. Isidro, A. Mukherjee, J. P. Nunes and H. J. Schnitzer, A new derivation of the Picard-Fuchs equations for effective N = 2 supe Yang-Mills theories, hep-th/9609116.
22. E. Martinec and N. P. Warner, Integrable system and supersymmetric gauge theory, Nucl. Phys. B459 (1996) 97, hep-th/9509161
23. S. S. Roan, A characterization of "rapidity" curve in chiral Potts model, Comm. Math. Phys. 145 (1992) 605-634.
24. S. S. Roan, Mirror symmetry of elliptic curves and Ising model, J. Geom. Phys 20 (1996) 273-296.
25. N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mill theory, Nucl. Phys. B426 (1994) 19-52, erratum-ibid. B430 (1994) 485-486, hep-th/9407087.
26. N. Seiberg and E. Witten, Monopole, duality and chiral symmetry breaking in in N = 2 QCD, Nucl. Phys. B431 (1994) 484, hep-th/9408099.
27. J. Steenbrink, Intersection form for quasi-homogeneous singularities, Compositio Math. 34 (1977) 211-223.