Conformal invariance and applications to statistical mechanics /
This volume contains introductory notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, re...
Clasificación: | Libro Electrónico |
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Otros Autores: | , , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Singapore ; Teaneck, NJ, USA :
World Scientific,
©1988.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Infinite conformal symmetry in two-dimensional quantum field theory / A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov
- 2. Conformal invariance and surface critical behavior / J.L. Cardy
- 3. Conformal invariance, unitarity, and critical exponents in two dimensions / D. Friedan, Z. Qiu and S. Shenker
- 4. Current algebra and Wess-Zumino model in two dimensions / V.G. Knizhnik and A.B. Zamolodchikov
- 5. Superconformal invariance in two dimensions and the tricritical Ising model / D. Friedan, Z. Qiu and S. Shenker
- 6. Infinite additional symmetries in two-dimensional conformal quantum field theory / A.B. Zamolodchikov
- 7. Contravariant form for infinite-dimensional Lie algebras and superalgebras / V.G. Kac
- 8. Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra / B.L. Feigin and D.B. Fuks
- 9. Verma modules over the Virasoro algebra / B.L. Feigin and D.B. Fuks
- 10. Vacuum vector representations of the Virasoro algebra / A. Rocha-Caridi
- 11. Unitary representations of the Virasoro and super-Virasoro algebras / P. Goddard, A. Kent and D. Olive
- 12. Critical behavior and associated conformal algebra of the Z[symbol] Potts mode1 / Vl. S. Dotsenko
- 13. Conformal invariance and the Yang-Lee edge singularity in two dimensions / J.L. Cardy
- 14. Nonlocal (parafermion) currents in two-dimensional conformal quantum field theory and self-dual critical points in Z[symbol]-symmetric statistical systems / A.B. Zamolodchikov and V.A. Fateev
- 15. Conformal algebra and multipoint correlation functions in 2D statistical models / VI. S. Dotsenko and V.A. Fateev
- 16. On the identification of finite operator algebras in two-dimensional conformally invariant field theories / P. Christe and K. Flume
- 17. Conformal symmetry and multicritical points in two-dimensional quantum field theory / A.B. Zamolodchikov
- 18. Conformal invariance and universality in finite-size scaling / J.L. Cardy
- 19. Finite-size scaling in strips: antiperiodic boundary conditions / J.L. Cardy
- 20. Conformal invariance, the central charge, and universal finite-size amplitudes at criticality / H.W.J. Blöte, J.L. Cardy and M.P. Nightingale
- 21. Universal term in the free energy at a critical point and the conformal anomaly / I. Affleck
- 22. Operator content of the three-state Potts quantum chain / G. von Gehlen and V. Rittenberg
- 23. Exact surface and wedge exponents for polymers in two dimensions / B. Duplantier and H. Saleur
- 24. Bounded and inhomogeneous Ising models. I. Specific-heat anomaly of a finite lattice / A.E. Ferdinand and M.E. Fisher
- 25. Operator content of two-dimensional conformally invariant tlieories / J.L. Cardy.
- 26. Modular invariant partition functions in two dimensions / A. Cappelli, C. Itzykson and J.-B. Zuber
- 27. Modular invariant partition functions of superconformal theories / A. Cappelli
- 28. Modular invariant partition functions for parafermionic field theories / D. Gepner and Z. Qiu
- 29. Effect of boundary conditions on the operator content of two-dimensional conformally invariant theories / J.L. Cardy
- 30. Discrete symmetries of conformal theories / J.-B. Zuber
- 31. Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities / G.E. Andrews, R.J. Baxter and P.J. Forrester
- 32. Exact exponents for infinitely many new multicritical points / D.A. Husc
- 33. Two-dimensional critical systems labelled by Dynkin diagrams / V. Pasquier
- 34. Solvable lattice models with broken Z[symbol] symmetry and Hecke's indefinite modular forms / M. Jimbo, T. Miwa and M. Okado
- 35. Automorphic properties of local height probabilities for integrable solid-on-solid models / E. Date [and others]
- 36. Continuously varying exponents and the value of the central charge / J.L. Cardy
- 37. Correlation functions on the critical lines of the Baxter and Ashkin-Teller models / L.P. Kadanoff and A.C. Brown
- 38. Partition functions of the two-dimensional Ashkin-Teller model on the critical line / H. Saleur
- 39. Supersymmetric critical phenomena and the two dimensional Gaussian model / D. Friedan and S. Shenker
- 40. Modular invariant partition function of the Ashkin-Teller model on the critical line and N = 2 superconformal invariance / S.K. Yang
- 41. Curiosities at c = 1 / P. Ginsparg
- 42. Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas / B. Nienhuis
- 43. Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models / P. di Francesco, H. Saleur and J.-B. Zuber
- 44. Lattice derivation of modular invariant partition functions on the torus / V. Pasquier
- 45. 'Irreversibility' of the flux of the renormalization group in a 2D field theory / A.B. Zamolodchikov
- 46. Integrals of motion in scaling 3-state Potts model field theory / A.B. Zamolodchikov
- 47. The conformal field theory of orbifolds / L. Dixon [and others]
- 48. Conformal scalar field on the hyperelliptic curve and critical Ashkin-Teller multipoint correlation functions / A.B. Zamolodchikov
- 49. Conformal field theories with additional Z[symbol] symmetry / M. Bershadsky and A. Radul
- 50. Conformal and current algebras on a general Riemann surface / T. Eguchi and H. Ooguri
- 51. Critical Ising correlation functions in the plane and on the torus / P. di Francesco, H. Saleur and J.-B. Zuber
- 52. C = 1 conformal field theories on Riemann surfaces / R. Dijkgraaf, E. Verlinde and H. Verlinde.