The book begins with a brief review of supersymmetry and the construction of the minimal supersymmetric standard model and approaches to supersymmetry breaking. General non-perturbative methods are also reviewing leading to the development of holomorphy and the Affleck-Dine-Seiberg superpotential as powerful tools for analyzing supersymmetric theories. Seiberg duality is discussed in detail, with many example applications provided, with special attention paid to its use in understanding dynamical supersymmetry breaking. The Seiberg-Witten theory of monopoles is introduced through the analysis of simpler N=1 analogues. Superconformal field theories are described along with the most recent development known as "a-maximization". Supergravity theories are examined in 4, 10, and 11 dimensions, allowing for a discussion of anomaly and gaugino mediation, and setting the stage for the anti-de-Sitter/conformal field theory correspondence. This book is unique in containing an overview of the important developments in supersymmetry since the publication of "Supersymmetry and Supergravity" by Wess and Bagger. It also strives to cover topics that are of interest to both formal and phenomenological theorists.
Author(s): John Terning
Series: International Series of Monographs on Physics
Publisher: Oxford University Press, USA
Year: 2006
Language: English
Pages: 339
Preface......Page 6
Acknowledgements......Page 7
Contents......Page 10
1.1 The unreasonable effectiveness of the Standard Model......Page 16
1.2 SUSY algebra......Page 19
1.3 SUSY representations......Page 23
1.4 Extended SUSY......Page 26
1.5 Central charges......Page 30
References......Page 32
2.1 The free Wess–Zumino model......Page 34
2.2 Commutators of SUSY transformations......Page 36
2.3 The supercurrent and the SUSY algebra......Page 39
2.4 The interacting Wess–Zumino model......Page 41
2.5 SUSY Yang–Mills......Page 44
2.6 SUSY gauge theories......Page 45
2.7 Superspace......Page 49
2.8 N = 0 SUSY......Page 53
References......Page 56
3.1 Symmetries and group theory......Page 58
3.2 Renormalization group......Page 62
3.3 Quadratic divergence of the squark mass......Page 67
3.4 Flat directions (classical moduli space)......Page 68
3.5 The super Higgs mechanism......Page 71
3.6 Exercises......Page 75
References......Page 76
4.1 Particles, sparticles, and their interactions......Page 77
4.2 Electroweak symmetry breaking......Page 82
4.3 The sparticle spectrum......Page 87
4.4 Gauge coupling unification......Page 92
4.5 Radiative electroweak symmetry breaking......Page 93
4.6 One-loop correction to the Higgs mass......Page 94
4.7 Precision electroweak measurements......Page 96
4.8 Problems with flavor and CP......Page 97
References......Page 101
5.1 Spontaneous SUSY breaking at tree-level......Page 105
5.2 SUSY breaking scenarios......Page 108
5.3 The goldstino......Page 110
5.4 The goldstino theorem......Page 112
References......Page 114
6.1 Messengers of SUSY breaking......Page 116
6.2 RG calculation of soft masses......Page 117
6.3 Gauge mediation and the μ problem......Page 120
References......Page 121
7.1 Monopoles......Page 123
7.2 Anomalies in the path integral......Page 128
7.3 Gauge anomalies......Page 132
7.4 't Hooft's anomaly matching......Page 133
7.5 Instantons......Page 134
7.6 Instantons in broken gauge theories......Page 136
7.7 NSVZ exact β function......Page 138
7.8 Superconformal symmetry......Page 140
References......Page 145
8.1 Non-renormalization theorems......Page 148
8.2 Wavefunction renormalization......Page 149
8.3 Integrating out......Page 150
8.4 The holomorphic gauge coupling......Page 151
8.5 Gaugino condensation......Page 154
8.6 NSVZ revisited......Page 156
References......Page 158
9.1 Symmetry and holomorphy......Page 160
9.2 Consistency of W[sub(ADS)]: moduli space......Page 163
9.3 Consistency of W[sub(ADS)]: mass perturbations......Page 165
9.4 Generating W[sub(ADS)] from instantons......Page 167
9.5 Generating W[sub(ADS)] from gaugino condensation......Page 169
References......Page 170
10.1 Phases of gauge theories......Page 172
10.2 The moduli space for F ≥ N......Page 173
10.3 IR fixed points......Page 175
10.4 Duality......Page 177
10.5 Integrating out a flavor......Page 180
10.6 Consistency......Page 182
10.7 F = N: confinement with chiral symmetry breaking......Page 183
10.8 F = N: consistency checks......Page 186
10.9 F = N + 1: s-confinement......Page 188
10.10 Connection to theories with F > N + 1......Page 191
References......Page 194
11.1 The SO(N) moduli space......Page 197
11.2 Duality for SO(N)......Page 199
11.3 Some special cases......Page 201
11.4 Duality for Sp(2N)......Page 202
11.5 Why chiral gauge theories are interesting......Page 204
11.6 S-Confinement......Page 205
11.7 Deconfinement......Page 207
References......Page 209
12.2 The 3-2 model......Page 211
12.3 The SU(5) model......Page 214
12.4 SUSY breaking and deformed moduli spaces......Page 215
12.5 SUSY breaking from baryon runaways......Page 217
12.6 Direct gauge mediation......Page 220
12.7 Single sector models......Page 222
References......Page 223
13.1 The Coulomb phase of N = 1 SO(N)......Page 225
13.2 Diversion on SO(3)......Page 229
13.3 The dyonic dual......Page 230
13.4 Elliptic curves......Page 232
13.5 N = 2: Seiberg–Witten......Page 236
13.6 The Seiberg–Witten curve......Page 240
13.7 Adding flavors......Page 245
References......Page 246
14.1 A-Maximization......Page 248
14.2 The simplest chiral SCFT......Page 249
14.3 N = 2 and Argyres–Douglas points......Page 254
14.4 N = 4 and orbifolds......Page 255
References......Page 258
15.1 Supergravity: on-shell......Page 261
15.2 Supergravity: off-shell......Page 262
15.3 Coupling to matter......Page 264
15.4 10 and 11 dimensions......Page 266
15.5 Five dimensions......Page 273
References......Page 274
16.1 "Supergravity" mediation......Page 277
16.2 SUSY breaking......Page 280
16.3 The μ problem......Page 282
16.4 Slepton masses......Page 284
16.5 Gaugino mediation......Page 287
References......Page 288
17.1 D-brane constructions of gauge theories......Page 290
17.2 The Supergravity approximation......Page 295
17.3 Spectra of CFT operators and AdS[sub(5)] × S[sup(5)] KK modes......Page 300
17.4 Waves on AdS[sub(5)]......Page 302
17.5 Nonperturbative static Coulomb potential......Page 304
17.6 Breaking SUSY: finite temperature and confinement......Page 305
17.7 The glueball mass gap......Page 306
17.8 Breaking SUSY: orbifolds......Page 309
17.9 Outlook......Page 311
References......Page 312
A.1 Conventions......Page 316
A.3 Propagators......Page 318
B.1 Classical Lie groups......Page 320
B.3 SU(3)......Page 322
B.4 SU(4)......Page 323
References......Page 324
B......Page 326
C......Page 327
D......Page 328
F......Page 329
H......Page 330
K......Page 331
M......Page 332
O......Page 333
Q......Page 334
S......Page 335
T......Page 337
W......Page 338
Z......Page 339
