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Di Francesco P., Mathieu P., Senechal D. — Conformal field theory
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Название: Conformal field theoryАвторы: Di Francesco P., Mathieu P., Senechal D.Аннотация: 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.
Язык: Рубрика: Физика /Квантовая теория поля /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1997Количество страниц: 890Добавлена в каталог: 16.08.2005Операции: Положить на полку |
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Singular vector 204 240 Singular vector, affine 577 837 Singular vector, complete derivation of 265 Singular vector, explicit expression of 246 Singular vector, formal determinant for 244 Singular vector, in WZW model 634 Singular vector, Lie algebra 837 Singular vector, sum rule for 288 SOS model 230 SOS models 227 Special conf ormal group 114 Special conformal transformation 97 Special subalgebra 539 Specialized character 584 Specific heat 62 Specific heat and central charge see “Free energy” “Finite Spectrum-generating algebra 627 Spherical model 65 Spin basis 505 Spin structure 345 Steinberg formula for tensor product 553 Strange formula 520 String function 579 818 824 String function normalized 592 String theory 161 Strip geometry 419 Stucture constants 490 Subgroups of SU(2) 778 Sugawara construction 624 799 Sugawara energy-momentum tensor 626 Sum rule for singular vectors 288 Super-Virasoro algebra 223 Superconformal models 223 Supersymmetry 223 Surface critical behavior 413 Surface exponents 419 Surface exponents of Ising energy field 435 susceptibility 63 Symmetries of fusion coefficient 677 Symmetry 3 Symmetry broken 73 Symmetry generator of 39 Symmetry infinitesimal transformation 39 Symmetry transformation 36 Temperature 61 66 67 Temperature finite 412 Tensor product 522 Tensor product, associativity of 531 Tensor product, Berenstein — Zelevinsky triangle 528 Tensor product, character method 523 Tensor product, elementary couplings 707 Tensor product, Littlewood — Richardson rule 526 Tensor product, Steinberg formula 553 Tensor-product coefficients 522 695 Tessellations 453 Tetrad 51 56 123 Tetrahedral group 778 779 Thermodynamic limit 62 Thermodynamic limit phase transitions and 67 Theta functions 347 390 477—479 Theta functions doubling identities 395 Theta functions generalized 582 Theta functions in 105 Three-point function, general form in d = 2 117 Threshold level 691 Threshold level, 692 Threshold level, 693 Threshold level, elementary couplings 707 Time ordering 30 Trace anomaly 140 Transfer matrix 87—90 92 151 Translation 37 Triality 503 Tricritical Ising model 222 363 Tricritical Ising model characters in 242 Tricritical point 223 Tricritical Potts model 235 Truncation of the operator algebra 214 Twisted boundary conditions 164 Twisted partition function 775 Two-point function in 104 Two-point function in Ising model with a boundary 417 Two-point function of disorder operator on a torus 463 Two-point function of electromagnetic operator on a torus 484 Two-point function of fermion on a torus 457 Two-point function of spin-spin correlator in Ising mode 484 Two-point function of spin-spin correlator on the torus 484 Two-point function on the cylinder 411 Two-point function on the strip 420 Two-point function, general form in d = 2 117 Unitarity, 209 Unitarity, c < 1representations 210 Unitarity, minimal models 218 Unitary representation 510 577 Universal enveloping algebra 511 Universality 77 Vacuum energy 20 166 171 Vacuum state 163 Vacuum state in operator formalism 151 Vacuum state of boson 18 Vacuum state of fermion 23 Vandermonde determinant 521 Vanishing curves 209 Verlinde formula 677 Verlinde formula for a finite group 402 Verlinde formula for minimal models 289 375 Verlinde formula for the Ising model 483 Verlinde formula proof of 378 Verlinde formula, boundary states and 422 Verlinde formula, Lie algebra version 533 Verma module 158 202 Verma module irreducible 240 Verma module reducible 204 Vertex operators 161 447 Vertex operators chiral 295 Vertex operators contraction of 194 Vertex operators correlation functions of 187 328 329 Vertex operators screened 323 Vertex representation 653 Vertex representation 653 Vertex representation simply-laced algebras at level 1 657 Vicinity of the critical point 234 Virasoro algebra 156 Virasoro algebra classical limit of 244 Virial 102 Wakimoto free-field representation 660 Wakimoto free-field representation 661 Wakimoto free-field representation 665 Wakimoto free-field representation correlation functions 664 Wakimoto free-field representation primary fields 663 Ward identities 43 Ward identities for Ising spin correlator 482 485 Ward identities in 106 Ward identities in d = 2 118—126 Ward identities on the cylinder 433 Ward identities on the torus 455 Ward identities on upper half-plane 414 Ward identities, conformal form of 121 Ward identities, holomorphic form of 119 Ward identities, special conformal group and 122 Ward identities, WZW model 622 631 Weight 494 Weight affine 560 Weight dominant 502 566 576 Weight highest 508 Weight integral 498 Weight lattice 502 Weight multiplicity 509 Weight multiplicity, affine 578 Weight multiplicity, affine Kostant formula 613 Weight multiplicity, Freudenthal formula 509 Weight multiplicity, Kostant formula 552 Weight partition of 513 Weight system 508 Weight system affine 578 Wess — Zumino action 619 Wess — Zumino — Witten model see “WZW model” Weyl chamber affine 567 Weyl character formula 518 Weyl determinant method 697 Weyl group 500 Weyl group affine 566 Weyl group longest element of 502 Weyl group order of 540 Weyl reflection, length of 502 Weyl reflection, shifted 502 Weyl reflection, signature of 502 Weyl reflection, simple 500 Weyl vector 499 Weyl vector affine 566 Weyl — Kac character formula 581 Wick contraction 35 Wick rotation 66 Wick’s theorem 35 52 Wick’s theorem generalized 188 Widom’s law 73 Winding number 167 349 Word 610 WZW model 621 WZW model, free-field representation 646 WZW model, modular transformations 638 WZW model, normalization 668 WZW model, rational conformal field theory 636 WZW model, unitarity 638 WZW primary field 628 633 WZW primary field, conformal dimension 630 XY spin chain 479 Yang — Baxter equation 332 Yang — Lee edge singularity 219 Yang — Lee edge singularity, 834 Yang — Lee edge singularity, characters in 242 Yang — Lee edge singularity, equations of motion 236 Young tableau 513 695 702 770 Young tableau reduced 514 Zero-mode 160 164 169
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