| |
| |
| |
| Introduction to supersymmetry | |
| |
| |
| |
| The unreasonable effectiveness of the Standard Model | |
| |
| |
| |
| SUSY algebra | |
| |
| |
| |
| SUSY representations | |
| |
| |
| |
| Extended SUSY | |
| |
| |
| |
| Central charges | |
| |
| |
| References | |
| |
| |
| |
| SUSY Lagrangians | |
| |
| |
| |
| The free Wess-Zumino model | |
| |
| |
| |
| Commutators of SUSY transformations | |
| |
| |
| |
| The supercurrent and the SUSY algebra | |
| |
| |
| |
| The interacting Wess-Zumino model | |
| |
| |
| |
| SUSY Yang-Mills | |
| |
| |
| |
| SUSY gauge theories | |
| |
| |
| |
| Superspace | |
| |
| |
| |
| N = 0 SUSY | |
| |
| |
| |
| Exercises | |
| |
| |
| References | |
| |
| |
| |
| SUSY gauge theories | |
| |
| |
| |
| Symmetries and group theory | |
| |
| |
| |
| Renormalization group | |
| |
| |
| |
| Quadratic divergence of the squark mass | |
| |
| |
| |
| Flat directions (classical moduli space) | |
| |
| |
| |
| The super Higgs mechanism | |
| |
| |
| |
| Exercises | |
| |
| |
| References | |
| |
| |
| |
| The minimal supersymmetric standard model | |
| |
| |
| |
| Particles, sparticles, and their interactions | |
| |
| |
| |
| Electroweak symmetry breaking | |
| |
| |
| |
| The sparticle spectrum | |
| |
| |
| |
| Gauge coupling unification | |
| |
| |
| |
| Radiative electroweak symmetry breaking | |
| |
| |
| |
| One-loop correction to the Higgs mass | |
| |
| |
| |
| Precision electroweak measurements | |
| |
| |
| |
| Problems with flavor and CP | |
| |
| |
| |
| Exercises | |
| |
| |
| References | |
| |
| |
| |
| SUSY breaking and the MSSM | |
| |
| |
| |
| Spontaneous SUSY breaking at tree-level | |
| |
| |
| |
| SUSY breaking scenarios | |
| |
| |
| |
| The goldstino | |
| |
| |
| |
| The goldstino theorem | |
| |
| |
| |
| Exercises | |
| |
| |
| References | |
| |
| |
| |
| Gauge mediation | |
| |
| |
| |
| Messengers of SUSY breaking | |
| |
| |
| |
| RG calculation of soft masses | |
| |
| |
| |
| Gauge mediation and the [Mu] problem | |
| |
| |
| |
| Exercise | |
| |
| |
| References | |
| |
| |
| |
| Nonperturbative results | |
| |
| |
| |
| Monopoles | |
| |
| |
| |
| Anomalies in the path integral | |
| |
| |
| |
| Gauge anomalies | |
| |
| |
| |
| 't Hooft's anomaly matching | |
| |
| |
| |
| Instantons | |
| |
| |
| |
| Instantons in broken gauge theories | |
| |
| |
| |
| NSVZ exact [beta] function | |
| |
| |
| |
| Superconformal symmetry | |
| |
| |
| References | |
| |
| |
| |
| Holomorphy | |
| |
| |
| |
| Non-renormalization theorems | |
| |
| |
| |
| Wavefunction renormalization | |
| |
| |
| |
| Integrating out | |
| |
| |
| |
| The holomorphic gauge coupling | |
| |
| |
| |
| Gaugino condensation | |
| |
| |
| |
| NSVZ revisited | |
| |
| |
| |
| Exercises | |
| |
| |
| References | |
| |
| |
| |
| The Affleck-Dine-Seiberg superpotential | |
| |
| |
| |
| Symmetry and holomorphy | |
| |
| |
| |
| Consistency of W[subscript ADS]: moduli space | |
| |
| |
| |
| Consistency of W[subscript ADS]: mass perturbations | |
| |
| |
| |
| Generating W[subscript ADS] from instantons | |
| |
| |
| |
| Generating W[subscript ADS] from gaugino condensation | |
| |
| |
| |
| Vacuum structure | |
| |
| |
| |
| Exercise | |
| |
| |
| References | |
| |
| |
| |
| Seiberg duality for SUSY QCD | |
| |
| |
| |
| Phases of gauge theories | |
| |
| |
| |
| The moduli space for F [greater than or equal] N | |
| |
| |
| |
| IR fixed points | |
| |
| |
| |
| Duality | |
| |
| |
| |
| Integrating out a flavor | |
| |
| |
| |
| Consistency | |
| |
| |
| |
| F = N: confinement with chiral symmetry breaking | |
| |
| |
| |
| F = N: consistency checks | |
| |
| |
| |
| F = N + 1: s-confinement | |
| |
| |
| |
| Connection to theories with F > N + 1 | |
| |
| |
| |
| Exercises | |
| |
| |
| References | |
| |
| |
| |
| More Seiberg duality | |
| |
| |
| |
| The SO(N) moduli space | |
| |
| |
| |
| Duality for SO(N) | |
| |
| |
| |
| Some special cases | |
| |
| |
| |
| Duality for Sp(2N) | |
| |
| |
| |
| Why chiral gauge theories are interesting | |
| |
| |
| |
| S-Confinement | |
| |
| |
| |
| Deconfinement | |
| |
| |
| |
| Exercises | |
| |
| |
| References | |
| |
| |
| |
| Dynamical SUSY breaking | |
| |
| |
| |
| A rule of thumb for SUSY breaking | |
| |
| |
| |
| The 3-2 model | |
| |
| |
| |
| The SU(5) model | |
| |
| |
| |
| SUSY breaking and deformed moduli spaces | |
| |
| |
| |
| SUSY breaking from baryon runaways | |
| |
| |
| |
| Direct gauge mediation | |
| |
| |
| |
| Single sector models | |
| |
| |
| |
| Exercise | |
| |
| |
| References | |
| |
| |
| |
| The Seiberg-Witten theory | |
| |
| |
| |
| The Coulomb phase of N = 1 SO(N) | |
| |
| |
| |
| Diversion on SO(3) | |
| |
| |
| |
| The dyonic dual | |
| |
| |
| |
| Elliptic curves | |
| |
| |
| |
| N = 2: Seiberg-Witten | |
| |
| |
| |
| The Seiberg-Witten curve | |
| |
| |
| |
| Adding flavors | |
| |
| |
| References | |
| |
| |
| |
| Superconformal field theories | |
| |
| |
| |
| A-Maximization | |
| |
| |
| |
| The simplest chiral SCFT | |
| |
| |
| |
| N = 2 and Argyres-Douglas points | |
| |
| |
| |
| N = 4 and orbifolds | |
| |
| |
| References | |
| |
| |
| |
| Supergravity | |
| |
| |
| |
| Supergravity: on-shell | |
| |
| |
| |
| Supergravity: off-shell | |
| |
| |
| |
| Coupling to matter | |
| |
| |
| |
| 10 and 11 dimensions | |
| |
| |
| |
| Five dimensions | |
| |
| |
| |
| Exercises | |
| |
| |
| References | |
| |
| |
| |
| Anomaly and gaugino mediation | |
| |
| |
| |
| "Supergravity" mediation | |
| |
| |
| |
| SUSY breaking | |
| |
| |
| |
| The [Mu] problem | |
| |
| |
| |
| Slepton masses | |
| |
| |
| |
| Gaugino mediation | |
| |
| |
| |
| Exercise | |
| |
| |
| References | |
| |
| |
| |
| Introduction to the AdS/CFT correspondence | |
| |
| |
| |
| D-brane constructions of gauge theories | |
| |
| |
| |
| The supergravity approximation | |
| |
| |
| |
| Spectra of CFT operators and AdS[subscript 5] x S[superscript 5] KK modes | |
| |
| |
| |
| Waves on AdS[subscript 5] | |
| |
| |
| |
| Nonperturbative static Coulomb potential | |
| |
| |
| |
| Breaking SUSY: finite temperature and confinement | |
| |
| |
| |
| The glueball mass gap | |
| |
| |
| |
| Breaking SUSY: orbifolds | |
| |
| |
| |
| Outlook | |
| |
| |
| References | |
| |
| |
| |
| Spinors and Pauli matrices | |
| |
| |
| |
| Conventions | |
| |
| |
| |
| Fierz and Pauli identities | |
| |
| |
| |
| Propagators | |
| |
| |
| |
| Group theory | |
| |
| |
| |
| Classical Lie groups | |
| |
| |
| |
| SU(2) | |
| |
| |
| |
| SU(3) | |
| |
| |
| |
| SU(4) | |
| |
| |
| References | |
| |
| |
| Index | |