Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Vafa C., Zaslow E. — Mirror symmetry
Vafa C., Zaslow E. — Mirror symmetry



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Mirror symmetry

Авторы: Vafa C., Zaslow E.

Аннотация:

This thorough and detailed exposition is the result of an intensive month-long course sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives. The material will be particularly useful for those wishing to advance their understanding by exploring mirror symmetry at the interface of mathematics and physics.
This one-of-a-kind volume offers the first comprehensive exposition on this increasingly active area of study. It is carefully written by leading experts who explain the main concepts without assuming too much prerequisite knowledge. The book is an excellent resource for graduate students and research mathematicians interested in mathematical and theoretical physics.


Язык: en

Рубрика: Математика/Математическая Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 457

Добавлена в каталог: 26.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Homological mirror symmetry conjecture      730
Hopf index      58
Hyper-Kaehler rotation      756
Improved connection      860
INDEX      812 815 827
Index theorem      297
Index, supersymmetric      848
Infrared      314
Infrared, divergence      346
Instanton      220 224 680
Instanton number      559 667
Integrality conjecture      641
Integration      18
Intersection number      114 115 438 442
Intersection product      43
Ishibashi state      871
Isotropy group      484
j-line      495
Jacobian      18
Jordan — Hoelder decomposition      737 762
K-theory      741 742 867 868
Kaehler class      317 329
Kaehler class, complexified      361 593 687
Kaehler cone      74 363
Kaehler metric      71 315
Kaehler potential      72 86
Kaluza — Klein reduction      147 601
Knot      688
Knot, invariant      690
Knot, trivial      689
Kontsevich's conjecture      709 719 727 730 739 742
Kontsevich's recursion      509 512
Kontsevich's theorem      515
Lagrangian, connect sum      754
Lagrangian, graded      745 760
Lagrangian, stable      760
Lagrangian, submanifold      688 745 751 801 802 821 857
Landau — Ginzburg, A-brane      875
Landau — Ginzburg, B-brane      881
Landau — Ginzburg, correspondence      393
Landau — Ginzburg, model      202 216 219 284 291ff 408 416 435ff 834ff 842 853 861
Landau — Ginzburg, model, supersymmetric      148
Landau — Ginzburg, orbifold      376
Landau — Ginzburg, theory      162 456 458 472 477 478 693
Laplace — Beltrami operator      210
Laplacian      22 605
Large complex limit point      729
Large Kaehler limit point      729
Large volume limit      303 853
Lefschetz decomposition      620
Legendre transform      703
Lichnerowicz equation      77
Line bundle      30 38
Line bundle, hyperplane      30
Line bundle, tautological      30
Line bundle, vacuum      84 85
Linear equivalence      510 741
Local Calabi — Yau threefold      131
Local mirror symmetry      95 100
localization      157 225 411 535ff 565 572
Localization, formula      62 575
Localization, principle      158 199ff
Loop space      301
M-theory      607 671
M2-brane (membrane)      607 608 612
Magnetic monopole      51 693
Majorana fermion      262
Maslov class      745
Maslov index      716 810 813 815—817 819 827
Matrix model      683
McKay correspondence      99
Mean curvature flow      753 761
Metric      12
Minimal model      443
Minimal model, N = 2      870
Mirror Symmetry      94 137ff 149 284ff 307 310 463ff 553 645ff 677ff 692ff 726 884ff
Mirror symmetry with bundles      704
Mirror, conjecture      553 559 571ff
Mirror, family      138
Mirror, map      663
Mirror, quintic      88ff 664
MMMS equation      731 733 737
Modular invariance      651
Modular transformation      246
Moduli space      412 428 519 520 590 698
Moduli space of curves      54 493ff
Moduli space of stable maps      501
Moduli space, coarse      484
Moment map      235 735 753
Momentum      251 282
Monge — Ampere equation      720
monodromy      84 754 758 759 859 860 862 863
Mori cone      117 119 120 363
Morphism      126 714
Morse complex      44
Morse function      220 235 820
Morse function, perfect      236
Morse index      44 201 221 231 829
Morse index, relative      227 826
Morse theory      43
Morse — Witten complex      230 231 236 831
Mukai vector      730 740 744
Multiple cover formula      65 551
Mutation      868
Mutation, left      868
Mutation, right      868
Narain lattice      650 651
Nef manifold      365
Neveu — Schwarz sector      262
Newlander — Nirenberg theorem      68
Nijenhuis tensor      68
Nodal curve      489 491
Node      96 125
Noether, charge      171
Noether, procedure      171 183 238 279
Non-confinement      390
Non-renormalization theorem      333
Non-singular      485
Normal ordering      242
Normal ordering with respect to the ground state      261
Normalization      489
Observable      725
Observable, physical      403
Obstruction      see "Deformation obstructions
One-parameter subgroup      109 110 122
Open string      769
Open string sector      704
Operator, lowering      185
Operator, raising      185
Orbifold      121 122 124 126 376 474 484
Ordinary double point      96 97
Partition function      151 155 162 172 174 244 262ff 786 822
Path-integral      146 178 199ff 250 310 649 652
Path-integral, anti-topological      428
Path-integral, topological      426
Period      84 666 851
Period, integral      852 878
Pfaffian      156
Physical operator      409 417 421
Picard group      38
Picard — Fuchs differential equation      91 560 853
Picard — Lefechetz monodromy      439 760
Picard — Lefechetz theory      435 869
Poincare duality      42 413 415 854
Poincare's lemma      275
Poisson resummation      179 652 675
Polylogarithm      671
Polytope      101 132ff 138
Polytope, polar      138
Polytope, reflexive      137
Principal bundle      11
Propagator      668
Proper      485
Pseudo-holomorphic curve      627 628
Pull-back      10
Push-forward      9
Q-cohomology      210 397 820 831 843
Quantum cohomology      94 553
Quantum cohomology ring      530 532
Quantum cohomology ring, big      532
Quantum cohomology ring, small      533
Quantum differential equation      553ff
Quantum differential equation, small      555
Quantum field theory (QFT)      145
Quantum gravity      146
quantum mechanics      169ff
Quantum product      531
Quasi-homogeneous function      295
Quasi-isomorphism      708 730 741
Quasi-modular form      644
Quintic hypersurface      54 88 664
Quintic threefold      64 82 140 521 546 635
R-charge, axial      273
R-charge, vector      273 282
R-rotation, axial      273
R-rotation, vector      273
R-symmetry      294 386 793 809 822 844 847
R-symmetry, axial      282
R-symmetry, vector      282
Ramond sector      262
Ray — Singer torsion      654 657 707
Reconstruction, genus 0 descendant      528
Regularization      322
Renormalization      315 322 323 467
Renormalization group      323
Renormalization group, flow      313ff 354 385 477 791
Renormalization group, invariant dynamical scale      354
Renormalized field      326
Resolution of singularities      125
Resolution, conifold      96
Ricci tensor      75 327
Riemann bilinear identity      852
Riemann surface      16 487
Riemann — Hurwitz formula      538
Riemann — Roch theorem      488
Riemann's bilinear identity      854
SCALE      313
Scale, transformation      313
Scattering amplitude      692
Schubert cell      64
Section      7
Section, covariantly constant      14
Section, global      35
Selection rule      410 586
Serre duality      38 52
Sheaf      32
Sigma model      146 177 179 180 206 246ff 327
Sigma model, Calabi — Yau      317 420 586
Sigma model, gauded linear (GLSM)      102 111 114 118 123
Sigma model, linear      339ff
Sigma model, non-linear      291ff 302 356ff 408
Sigma model, perturbation theory      317
Sigma model, supersymmetric      148 307 796
Sigma model, supersymmetric linear      348
Sigma model, supersymmetric non-linear      292
Sigma model, toric      391
Sine-Gordon model      420
Sine-Gordon model, N = 2      444
Singularity      27 90 95 686
Singularity, conifold      90 96 125 368 686
Singularity, quotient      27
Skyscraper sheaf      740
Slag      see "Special Lagrangian"
sLag Fukaya category      730
slope      736 738 747
Soliton      389 693
Solitonic state      436
Special geometry      434
Special Lagrangian      701 711 720 723 745 746 753 851 860
Special Lagrangian, deformation      702
Special Lagrangian, fat      762
Special Lagrangian, moduli space      701
Special point      497
Spectral flow      226
Spectral flow of fermion number      262
Spectral flow of Hessian eigenvalues      227
Splitting principle      51
Stability      736
Stable bundle      730
Stable curve      495
Stable map      501
Stable orbit      736
Stable pointed curve      497ff
String equation      514 527
String theory      694 695 791
Strominger — Yau — Zaslow Conjecture      691
Structure sheaf      34 484 707 740
Subvariety      104
Subvariety, T-invariant      104 106 109
Supercharge      184 208 213 282 294 316 400 793 824 839 842
Supercharge, conserved      279
Superconformal symmetry      871
Supercurrent      294 793 794 796 847
Superfield      272
Superfield, vector      349
SuperHiggs mechanism      358
Superpotential      102 141 277 469—471 602 875
Superpotential, quasi-homogeneous      408
Superpotential, twisted      282 382 465
Superspace      149 272
Superspace, (0, 2)      288
Supersymmetric cycle      697
Supersymmetric gauge theory      679
Supersymmetric ground state      188 192 195 201 205 221 299 308 819 825 838
Supersymmetric ground state, overlaps with      873
Supersymmetric index      187 189 197
Supersymmetric quantum mechanics      182ff 187 206
Supersymmetry      156 157 183
Supersymmetry algebra, N = (2, 2)      284
Supersymmetry algebra, N = 2      693
Supersymmetry, (0, 2)      288
Supersymmetry, (1, 1)      285
Supersymmetry, A-type      793
Supersymmetry, B-type      793
Supersymmetry, N = (2, 2)      271ff
Supersymmetry, Type IIA      599 678
Supersymmetry, Type IIB      599
Symmetric product      621 622
Symmetry, spontaneously broken      344
Symplectic reduction      362
T-duality      149 249 309ff 465 470 658 698 701 727 777ff 791
Tachyon      708 739
Tachyon, condensation      708
Tangent-obstruction, exact sequence      506
Tangent-obstruction, theory      628
Target space physics      599
Tautological bundle      536
Tautological line bundle      512
Theta angle      351 385
Theta function      268
Thom class      43
Thom form      42
Three-point function      705
Todd class      52 840
Topological amplitude      645 647
Topological field theory      397 403 404 684
Topological metric      407
Topological open string      709
Topological string      585ff 599ff 648 680
Topological string, amplitude      606 689
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2020
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте