Авторизация
Поиск по указателям
Cartier P., Julia B., Moussa P. — Frontiers in Number Theory, Physics, and Geometry II
Обсудите книгу на научном форуме Нашли опечатку?
Название: Frontiers in Number Theory, Physics, and Geometry IIАвторы: Cartier P., Julia B., Moussa P.Аннотация: The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2007Количество страниц: 789Добавлена в каталог: 07.05.2008Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
Lagrangian 625 Landau — Ginsburg Theory 376 Langlands correspondence 404 422 Langlands correspondence, geometric see “Geometric Langlands correspondence” Langlands correspondence, local 521 Langlands dual group 389 454 502 Lax equation 705 Legendre transform 628 Levi subgroup 290 Lie algebroid 478 Lie, algebra 144 Lie, algebra of graphs 640 Lie, algebra, exceptional 134 153 155 157 Lie, commutator 144 147 Lie, group 135 Linear algebraic group 252 Linearly compact algebras 569 Local system 424 Local system, irreducible 440 Local system, l-adic 429 Local system, ramified 426 Local system, trivial 441 Lyapunov exponent 363 M-theory 278 297 348 Maass waveform see “Eisenstein series” Magic square 154 155 Magic Triangle 154—156 Markov partition 368 Maximal abelian extension 397 Maximal sompact subgroup 279 McKay correspondence 383 Milnor — Moore theorem 635 641 Mirror moonshine 223 235 237 241 242 Mirror Symmetry 223 235—237 347 Miura transformation 497 Mixed Tate motives 683 684 Mock theta functions 28 36 Modular curve 361 Modular curve, geodesic 365 Modular form 42 377 410 Modular form, weak for 312 Modular function 71 Modular group 70 92 Moduli stack of G-bundles, 461 Moduli stack of rank n bundles, 431 Monodromy representation 666 Monster sporadic group 377 Monstrous Moonshine 374 377 381 Monstrous Moonshine, functions 379 Mordell — Weil group 345 Morita equivalence 688 Motivic cohomology 683 Motivic fundamental group 687 Motivic fundamental groupoid 686 Motivic Galois group 690 Motivic Galois Theory 618 683 Multiple logarithm 760 Multiple logarithm, double 26—28 762 Multiple logarithm, triple 772 Multiple polylogarithm see “Polylogarithm” Multiple polylogarithms 605 Multiple zeta values 602 Nahm — Fourier — Mukai transform 234 Negative dimension 134 155 Nested sums 743 Nested sums, Hopf algebra 746 Newton’s relations 592 Nikulin involution 237 Nilpotent orbit 284 Non-commutative spaces 368 Noncommutative geometry 361 623 686 Noncommutative geometry, cyclic cohomology 686 Noncommutative symmetric functions 596 Nonperturbative effects 702 Number field 396 Ope see “Quantum Field Theory” Oper 392 451 465 490 Oper bundle 493 Orbifold 224 227 230—232 235—240 242 Orbifold construction 205 Orbit method 283 Orientation torsor 763 p-Adic integer 398 p-adic number 397 p-brane 179 Parabolic structure 522 Parabolic subgroup 284 286 287 290 Particle Physics 738 Particle Physics, QCD 738 Particle Physics, Standard Model 739 Penrose tillings 368 Perron — Frobenius operator 367 Perverse sheaf 430 Peter — Weyl’s theorem 561 Physical constants 703 Picar — Vessiot ring 671 Plane tree 763 Plane tree, forest 763 Plane tree, planted 763 Plane tree, R-deco 764 Plane tree, root 763 Poincare disk 361 Poincare duality 548 Poincare isomorphism 549 Poincare polynomial 543 Poincare series for the elliptic genus 312 315 Poincare upper half plane 251 278 361 Polylogarithm functions 603 Polylogarithm, functional equations 12 61 Polylogarithm, harmonic 742 748 756 Polylogarithm, multiple 26 689 706 737 742 749 755 759 Polylogarithm, multiple, iterated integral 751 760 Polylogarithm, Nielsen generalization 742 749 Polylogarithm, one-valued versions 12 59 Polylogarithm, relation to algebraic K-theory 19 60 Polylogarithm, special values 20 61 63 Pontrjagin duality 539 Pontrjagin’s product 550 Power sum 595 Presentation 259 260 primitive 553 Primitive invariant 136 139 141 147 Primitive invariant, 148 Primitiveness assumption 140 148 152 155 157 Projective connection 488 Projectively flat connection 391 473 482 Prounipotent group 587 Pure spinors 295 296 Q-hypergeometric series 28 41 Quadratic form 250 257 Quantum field theory 626 715 Quantum Field Theory, action 626 Quantum Field Theory, conformally invariant 68 Quantum Field Theory, current 82 Quantum Field Theory, euclidean 79 Quantum Field Theory, expectation value 626 Quantum Field Theory, holomorphic field 79 Quantum Field Theory, infrared divergences 638 Quantum Field Theory, integrable 68 99 Quantum Field Theory, n-point function 78 91 100 Quantum Field Theory, non-perturbative 716 Quantum Field Theory, non-perturbative effects 699 702 Quantum Field Theory, OPE representation 89 Quantum Field Theory, operator product expansion (OPE) 80 Quantum Field Theory, perturbation 96 Quantum Field Theory, perturbative 716 Quantum Field Theory, self energy graph 638 Quantum groups 129 Quasi-conformal 291 Quasi-shuffle algebra 751 Quasi-shuffles 597 Quasi-symmetric functions 597 Rademacher’s formula 314 Radford’s theorem 600 Rational Conformal Fied theoryi, (RCFT) see “Conformal Field Theory” Real spectrum 563 Reduced coproduct 575 Reduced dual 569 Reduction theory 250 Regular singular points 666 Renormalizable theories 631 Renormalization group 716 Renormalization, BPHZ scheme 632 Renormalization, Breitenlohner — Maison approach 701 Renormalization, counterterms 630 721 Renormalization, cut-off 630 Renormalization, dimensional regularisation 631 Renormalization, dimensional regularization 618 Renormalization, divergences 629 Renormalization, group 654 655 Renormalization, group, 208 215 Renormalization, Hochschild cohomology 726 Renormalization, Hopf algebra 715 Renormalization, subdivergences 629 632 Renormalization, ultraviolet divergences 630 Renormalization’t Hooft — Veltman 701 Rep, dual 135 Rep, standard 135 Replicable functions 374 378 Representation 556 Representation space 135 Representative function 557 Representative space 556 Riemann — Hilbert correspondence 426 435 Riemann — Hilbert, correspondence 618 670 690 Riemann — Hilbert, problem 665 Riemann — Hilbert, problem, local 668 Ring of adeles 399 419 Ring of integers 399 Rogers — Ramanujan identities 71 94 S-duality 389 469 Satake isomorphism 453 Satake isomorphism, geometric 460 Scattering matrix 103 SCFT see “Superconformal field theory” Schur’s orthogonality relations 559 Schwarz derivative 380 Schwinger parameters 631 Screening operator 497 500 Segal — Sugawara current 487 Self-dual tensor 141 148 Semiclassical expansion 628 Serre duality 315 Shale — Weil theorem 290 Sheaf of coinvariants 479 Shift operator 362 Shimura reciprocity 383 Shimura — Taniyama — Weil conjecture 406 413 Shioda — Inose structure 223 224 232 237 241 242 Shioda — Inose, construction 340 Shioda — Inose, structure 334 Shioda — Inose, surface 340 Shioda — Inose, theorem 347 Shuffle algebra 751 753 Shuffle product 600 Siegel set 252 257 Skeleton diagrams 722 725 Slavnov — Taylor identities 734 Space of coefficients 556 Space, dual 135 Spherical Hecke algebra 411 421 Spherical vector 279 287 Spherical vector, p-adic 294 Spherical vector, real 294 Sporadic group 383 384 Standard Model of particle physics 701 739 Standard rep 135 Standard representation space 135 Stationary phase method 628 Stokes operator 698 Stokes phenomenon 697 702 String cosmology 324 String theory 305 String Theory, dualities 336 String Theory, energy momentum tensor 173 String Theory, Neveu — Schwarz sector 77 165 String Theory, physical state 167 String Theory, Ramond sector 77 165 String Theory, sigma-model 163 String Theory, spectrum 172 String Theory, superconformal ghost 175 String Theory, tree level amplitude 178 String Theory, vertex operator 174 Strong approximation theorem 281 STU relation see “Lie commutator” Subdivergences see “Renormalization” Superconformal field theory, linear sigma model 233 Superconformal field theory, moduli space 224 225 229 235 Superconformal Field Theory, N = (2, 2) superconformal 308 Superconformal field theory, N = (4, 4) superconformal 223 225 228—233 237 239—242 Superconformal field theory, nonlinear sigma model 225 229 Superconformal Field Theory, spectral flow 309 Superconformal field theory, Zamolodchikov metric 229 Supergravity 180 319 Supergroup 317 Supermembrane 297 Superstring dualities 278 293 297 Symmetric polynomials 595 T-duality 183 292 499 501 Tannaka — Krein duality theorem 540 566 Tannakian categories 622 633 634 684 692 Tannakian category 540 Tensor 136 Tensor, dual 141 Tensor, invariant 137 Tensor, invariant, SO(3) 139 Tensor, invariant, SU(n) 142 Tensor, self-dual 141 148 Theorem of Milnor — Moore 583 Theta functions 42 310 Theta series, adelic representation 295 Theta series, Jacobi 281 Theta series, Siegel 282 Thurston’s program 73 Time ordered exponentional 651 Time ordering 626 Toda hierarchy 385 Topology, analytic 424 Topology, Zariski 424 Torelli theorem 226 227 236 Transformation, infinitesimal 143 TREE see “Plane tree” Tree, decorated rooted 745 Tree, decorated rooted, Hopf algebra 724 Tree, decorated rooted, non-planar 730 Triality 293 Triangulated tensor category 684 Twisted cotangent bundle 447 465 Twisted differential operators 467 480 U-duality 278 336 Unipotent 585 Unipotent radical 290 Unitary induction 285 Unitary representation 278 Unitary representation of 287 Unitary representation, Continuous 282 Unitary representation, Metaplectic 282 285 Unitary representation, Minimal 285 289 Unitary representation, Unipotent 289 Unramified automorphic representation 408 420
Реклама
-function 
|
|
О проекте