Conformal Field TheorySpringer Science & Business Media, 1997 - 890 pages Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics. |
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Table des matières
| 3 | |
| 15 | |
| 60 | |
Global Conformal Invariance | 95 |
Conformal Invariance in Two Dimensions | 111 |
The Operator Formalism | 150 |
Minimal Models I | 200 |
Minimal Models H | 239 |
The TwoDimensional Ising Model | 439 |
Simple Lie Algebras | 489 |
Affine Lie Algebras | 556 |
WZW Models | 617 |
Fusion Rules in WZW Models | 675 |
Modular Invariants in WZW Models | 719 |
sw3 | 766 |
Cosets | 797 |
The CoulombGas Formalism | 294 |
Modular Invariance | 335 |
FiniteSize Scaling and Boundaries | 409 |
References | 861 |
Index | 877 |
Autres éditions - Tout afficher
Conformal Field Theory Philippe Francesco,Pierre Mathieu,David Senechal Aucun aperçu disponible - 2011 |
Conformal Field Theory Philippe Francesco,Pierre Mathieu,David Senechal Aucun aperçu disponible - 1996 |
Expressions et termes fréquents
action affine Lie algebras antiholomorphic associated boson boundary conditions branching rules calculation Cartan central charge characters conformal blocks conformal dimension conformal field theory conformal invariance conformal transformations conjugate constraints construction correlation functions corresponding decomposition defined denote derive diagonal differential equation Dynkin diagrams Dynkin labels eigenvalue elements embedding energy energy-momentum tensor equivalent expression factor fermion finite fixed four-point function free boson fusion algebra fusion coefficients fusion rules Hamiltonian highest weight holomorphic infinite integrable Ising model lattice matrix minimal models modular invariants modular transformation multiplicity nonzero normalization obtained orbifold outer automorphisms partition function permutation polynomial Potts model primary fields quantum result Sect Show simple roots singular vector space spin subalgebra symmetry tableau tensor product torus two-point function unitary vacuum vanishes variables Verlinde formula Verma module vertex operators Virasoro algebra Ward identity Weyl group WZW models zero
Fréquemment cités
Page 412 - In the former, there is a continuum of energy states starting from the ground state up; in the latter, there is an energy gap between the ground state and the first excited state. Of course, the accurate formulation of the theory in any of...
Page 3 - May 31 The Cosmic View Focus On the beach at night, alone, As I watch the bright stars shining, I think a thought of the clef of the universe and of the future. A vast similitude interlocks all, All distances of space however wide, All distances of time, All souls, all living bodies though they be ever so different, All nations, all identities that have existed or may exist, All lives and deaths, all lives and deaths, all of the past, present, future, This vast similitude spans them, and always has...
Page 555 - For a more detailed discussion the reader is referred to the original papers by Fjeldbo and Eshleman;18 however, the following outline should suffice to acquaint him with the principles involved.
Page 51 - Since A is symmetric, it can be diagonalized by an orthogonal matrix: A = O'1)O where D is diagonal with entries D, and where 0'O = 1.
Page 267 - As z —¿ 0 the product of fields fo(xo)fi(xi) (inserted in correlations) is equivalent to a sum of expansions of the form'°...
Page 271 - Still, we have to make sure that the rhs ofthe linearsystem(8.156) lies in the range of the linear operator on the left. This imposes conditions on the triplet h 0 ,h,,h, which am the fusion rules.
Page 35 - ... 0 in proportion to the number of functions g in F that agree on the training set and assign the new pattern x. to classes gCx^) = 1 and g(xk) = 0 respectively.
Page 676 - We first recall that, in a rational conformal field theory, the fusion coefficient ¿ counts the number of independent couplings between...
Informations bibliographiques
| Titre | Conformal Field Theory Graduate Texts in Contemporary Physics, ISSN 0938-037X |
| Auteurs | Philippe Francesco, Philippe Di Francesco, Pierre Mathieu, David Sénéchal, David Senechal |
| Édition | illustrée, réimprimée |
| Éditeur | Springer Science & Business Media, 1997 |
| ISBN | 038794785X, 9780387947853 |
| Longueur | 890 pages |
| Exporter la citation | BiBTeX EndNote RefMan |