Proofs of two conjectures related to the thermodynamic Bethe Ansatz

Communications in Mathematical Physics

Volumn 179, Issue 3, 1996, Pages 667-680

  Tracy, C A ^a   Widom, H ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030240027     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02100102     Document Type: Article

References (14)

1. Cecotti, S., Vafa, C.: Topological-anti-topological fusion. Nucl. Phys. B367, 359-461 (1991); Ising model and N = 2 supersymmetric theories. Commun. Math. Phys. 157, 139-178 (1993)
2. Cecotti, S., Vafa, C.: Topological-anti-topological fusion. Nucl. Phys. B367, 359-461 (1991); Ising model and N = 2 supersymmetric theories. Commun. Math. Phys. 157, 139-178 (1993)
3. Cecotti, S., Fendley, P., Intriligator, K., Vafa, C.: A new supersymmetric index. Nucl. Phys. B386, 405-452 (1992)
4. Fendley, P., Saleur, H.: N = 2 supersymmetry, Painlevé III and exact scaling fonctions in 2D polymers. Nucl. Phys. B388, 609-626 (1992)
5. Its, A.R., Izergin, A.G., Korepin, V.E., Slavnov, N.A.: Differential equations for quantum correlation functions. Int. J. Mod. Physics B4, 1003-1037 (1990)
6. Klassen, T.R., Melzer, E.: The thermodynamics of purely elastic scattering theories and conformal perturbation theory. Nucl. Phys. B350, 635-689 (1991)
7. McCoy, B.M., Tracy, C.A., Wu, T.T.: Painlevé functions of the third kind. J. Math. Phys. 18, 1058-1092 (1977)
8. Rudin, W.: Real and Complex Analysis. 3rd ed. New York: McGraw-Hill, 1987
9. Tracy, C.A., Widom, H.: Fredholm determinants, differential equations and matrix models. Commun. Math. Phys. 163, 33-72 (1994)
10. Tracy, C.A., Widom, H.: Systems of partial differential equations for a class of operator determinants. Operator Theory: Adv. and Appls. 78, 381-388 (1995)
11. Tracy, C.A., Widom, H.: Fredholm determinants and the mKdV/sinh-Gordon hierarchies. Commun. Math. Phys.
12. Yang, C.N., Yang, C.P.: Thermodynamics of a one-dimensional system of bosons with repulsive delta-function interaction. J. Math. Phys. 10, 1115-1122 (1969)
13. Zamolodchikov, Al.B.: Thermodynamic Bethe Ansatz in relativistic models: Scaling 3-state Potts and Lee-Yang models. Nucl. Phys. B342, 695-720 (1990)
14. Zamolodchikov, Al.B.: Painlevé III and 2D polymers. Nucl. Phys. B432[FS], 427-456 (1994)