Conformal invariance and applications to statistical mechanics / editors, Claude Itzykson, Hubert Saleur, Jean-Bernard Zuber.

Format:

Book

Contributor:

Itzykson, Claude.

Saleur, Hubert.

Zuber, Jean Bernard.

Language:

English

Subjects (All):

Conformal invariants.

Statistical mechanics.

Physical Description:

1 online resource (992 p.)

Place of Publication:

Singapore ; River Edge, N.J. : World Scientific, 1988 (1998 reprint)

Language Note:

English

Summary:

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, representations of infinite Lie algebras and automorphic functions.

Contents:

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 ... [et al.]

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 ... [et al.]

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references.

ISBN:

9786611871642

9781281871640

1281871648

9789812386564

9812386564

OCLC:

53620251