Basic concepts of string theory:
Gespeichert in:
| Vorheriger Titel: | Lüst, Dieter Lectures on string theory |
|---|---|
| Beteiligte Personen: | , , |
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schriftenreihe: | Theoretical and mathematical physics
|
| Schlagwörter: | |
| Links: | http://deposit.dnb.de/cgi-bin/dokserv?id=3994682&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025484564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturangaben |
| Umfang: | XII, 782 S. graph. Darst. |
| ISBN: | 9783642294969 3642294960 9783642294976 |
Internformat
MARC
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| 245 | 1 | 0 | |a Basic concepts of string theory |c Ralph Blumenhagen ; Dieter Lüst ; Stefan Theisen |
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| 300 | |a XII, 782 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1819349487355691008 |
|---|---|
| adam_text | Titel: Basic concepts of string theory
Autor: Blumenhagen, Ralph
Jahr: 2013
Contents
Introduction.
2 The Classical Bosonic String.............................................. 7
2.1 The Relativistic Particle.............................................. 7
2.2 The Nambu-Goto Action............................................. 10
2.3 The Polyakov Action and Its Symmetries........................... 12
2.4 Oscillator Expansions................................................ 23
2.5 Examples of Classical String Solutions............................. 31
3 The Quantized Bosonic String............................................ 35
3.1 Canonical Quantization of the Bosonic String...................... 35
3.2 Light-Cone Quantization of the Bosonic String.................... 42
3.3 Spectrum of the Bosonic String ..................................... 46
3.4 Covariant Path Integral Quantization................................ 53
3.5 Appendix: The Virasoro Algebra.................................... 59
4 Introduction to Conformal Field Theory................................ 63
4.1 General Introduction................................................. 63
4.2 Application to Closed String Theory................................ 85
4.3 Boundary Conformal Field Theory.................................. 93
4.4 Free Boson Boundary States......................................... 101
4.5 Crosscap States for the Free Boson.................................. 103
5 Parametrization Ghosts and BRST Quantization...................... 107
5.1 The Ghost System as a Conformal Field Theory................... 107
5.2 BRST Quantization.................................................. 110
6 String Perturbation Theory and One-Loop Amplitudes............... 121
6.1 String Perturbation Expansion....................................... 121
6.2 The Polyakov Path Integral for the Closed Bosonic String......... 126
6.3 The Torus Partition Function........................................ 146
6.4 Torus Partition Functions for Rational CFTs ....................... 152
6.5 The Cylinder Partition Function..................................... 157
x Contents
6.6 Boundary States and Cylinder Amplitude for RCFTs.............. 163
6.7 Crosscap States, Klein Bottle and Möbius Strip Amplitudes...... 166
6.8 Appendix: D-brane Tension ......................................... 171
7 The Classical Fermionic String........................................... 175
7.1 Motivation for the Fermionic String................................. 175
7.2 Superstring Action and Its Symmetries............................. 176
7.3 Superconformal Gauge............................................... 180
7.4 Oscillator Expansions................................................ 189
7.5 Appendix: Spinor Algebra in Two Dimensions..................... 192
8 The Quantized Fermionic String ......................................... 195
8.1 Canonical Quantization.............................................. 195
8.2 Light-Cone Quantization............................................. 200
8.3 Spectrum of the Fermionic String, GSO Projection................ 202
8.4 Path Integral Quantization........................................... 208
8.5 Appendix: Dirac Matrices and Spinors in d Dimensions.......... 210
9 Superstrings................................................................. 223
9.1 Spin Structures and Superstring Partition Function ................ 223
9.2 Boundary States for Fermions....................................... 232
9.3 D-branes.............................................................. 235
9.4 The Type I String..................................................... 241
9.5 Stable Non-BPS Branes.............................................. 251
9.6 Appendix: Theta-Functions and Twisted Fermionic
Partition Functions................................................... 254
10 Toroidal Compactifkations: 10-Dimensional Heterotic String........ 263
10.1 Motivation............................................................ 263
10.2 Toroidal Compactification of the Closed Bosonic String........... 264
10.3 Toroidal Partition Functions......................................... 280
10.4 The Es x £8 and SO (32) Heterotic String Theories............... 284
10.5 Toroidal Orbifolds.................................................... 294
10.6 D-branes on Toroidal Compactifications............................ 308
11 Conformal Field Theory II: Lattices and Kac-Moody Algebras...... 321
11.1 Kac-Moody Algebras................................................ 321
11.2 Lattices and Lie Algebras............................................ 327
11.3 Frenkel-Kac-Segal Construction..................................... 337
11.4 Fermionic Construction of the Current Algebra: Bosonization .... 340
11.5 Unitary Representations and Characters of Kac-Moody
Algebras.............................................................. 343
11.6 Highest Weight Representations of sii(2)* ......................... 349
12 Conformal Field Theory III: Superconformal Field Theory .......... 355
12.1 N = l Superconformal Symmetry.................................. 355
12.2 N = 2 Superconformal Symmetry.................................. 370
12.3 Chiral Ring and Topological Conformal Field Theory............. 382
Contents xi
13 Covariant Vertex Operators, BRST and Covariant Lattices.......... 391
13.1 Bosonization and First Order Systems.............................. 391
13.2 Covariant Vertex Operators, BRST and Picture Changing......... 403
13.3 D-branes and Space-Time Supersymmetry......................... 411
13.4 The Covariant Lattice................................................ 415
13.5 Heterotic Strings in Covariant Lattice Description................. 422
14 String Compactifications .................................................. 427
14.1 Conformal Invariance and Space-Time Geometry.................. 427
14.2 T-Duality and Buscher Rules........................................ 432
14.3 Compactification..................................................... 439
14.4 Mathematical Preliminaries.......................................... 450
14.5 Calabi-Yau Manifolds................................................ 473
14.6 Compactification of the Type II String on CY Threefolds......... 487
14.7 Compactification of the Heterotic String on CY Threefolds....... 497
14.8 Appendix: Some Riemannian Geometry, Hodge Duals, etc........ 508
15 CFTs for Type II and Heterotic String Vacua........................... 521
15.1 Motivation............................................................ 521
15.2 Supersymmetric Orbifold Compactifications....................... 522
15.3 Orientifold Compactifications....................................... 534
15.4 World-Sheet Aspects of Supersymmetric Compactifications...... 544
15.5 Gepner Models....................................................... 567
15.6 Four-Dimensional Heterotic Strings via Covariant Lattices........ 578
16 String Scattering Amplitudes and Low Energy Effective
Field Theory................................................................. 585
16.1 Generalities........................................................... 585
16.2 String Scattering Amplitudes........................................ 588
16.3 From Amplitudes to the Low Energy Effective Field Theory...... 615
16.4 Effective Supergravities in Ten and Eleven Dimensions........... 622
16.5 Effective Action for D-branes....................................... 630
16.6 Appendix: Integrals in Veneziano and Virasoro-Shapiro
Amplitudes ........................................................... 636
17 Compactifications of the Type II Superstring with
D-branes and Fluxes....................................................... 641
17.1 Brane Worlds and Fluxes............................................ 641
17.2 Supersymmetry, Tadpoles and Massless Spectra................... 644
17.3 Flux Compactifications.............................................. 657
17.4 Fluxes and SU(3) Structure Group.................................. 663
17.5 Appendix............................................................. 670
18 String Dualities and M-Theory........................................... 675
18.1 General Remarks..................................................... 675
18.2 Simple Examples: Modular Invariance and T-Duality.............. 677
18.3 Extended Objects: Some Generalities............................... 680
xii Contents
18.4 Central Charges and BPS Bound.................................... 684
18.5 Brane Solutions in Supergravity..................................... 688
18.6 Non-perturbative Dualities........................................... 705
18.7 M-Theory............................................................. 716
18.8 F-Theory.............................................................. 724
18.9 AdS/CFT Correspondence........................................... 733
Index............................................................................... 775
|
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| author | Blumenhagen, Ralph Lüst, Dieter 1956- Theisen, Stefan |
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| dewey-ones | 530 - Physics |
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| discipline | Physik |
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| id | DE-604.BV040657749 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T16:19:53Z |
| institution | BVB |
| isbn | 9783642294969 3642294960 9783642294976 |
| language | English |
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| spellingShingle | Blumenhagen, Ralph Lüst, Dieter 1956- Theisen, Stefan Basic concepts of string theory Stringtheorie (DE-588)4224278-2 gnd |
| subject_GND | (DE-588)4224278-2 |
| title | Basic concepts of string theory |
| title_auth | Basic concepts of string theory |
| title_exact_search | Basic concepts of string theory |
| title_full | Basic concepts of string theory Ralph Blumenhagen ; Dieter Lüst ; Stefan Theisen |
| title_fullStr | Basic concepts of string theory Ralph Blumenhagen ; Dieter Lüst ; Stefan Theisen |
| title_full_unstemmed | Basic concepts of string theory Ralph Blumenhagen ; Dieter Lüst ; Stefan Theisen |
| title_old | Lüst, Dieter Lectures on string theory |
| title_short | Basic concepts of string theory |
| title_sort | basic concepts of string theory |
| topic | Stringtheorie (DE-588)4224278-2 gnd |
| topic_facet | Stringtheorie |
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