| Description |
1 online resource (xi, 979 pages) : illustrations |
| 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 |
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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 |
| 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 |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Conformal invariants.
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Statistical mechanics.
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SCIENCE -- Waves & Wave Mechanics.
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Conformal invariants
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Statistical mechanics
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| Form |
Electronic book
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| Author |
Itzykson, Claude
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Saleur, Hubert
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Zuber, Jean Bernard
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| ISBN |
9812386564 |
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9789812386564 |
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1281871648 |
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9781281871640 |
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