Loading…
Perturbative and non-perturbative approaches to string sigma-models in AdS/CFT
This thesis introduces readers to the type II superstring theories in the AdS5×S5 and AdS4×CP3 backgrounds. Each chapter exemplifies a different computational approach to measuring observables (conformal dimensions of single-trace operators and expectation values of Wilson loop operators) relevant f...
Saved in:
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
2017.
|
| Series: | Springer theses.
|
| Physical Description: |
1 online resource. |
| Subjects: | |
| Online Access: | SpringerLink - Click here for access |
Contents:
- 2.1.1 String Sigma-Model for Coset Spaces and k-Symmetry2.1.2 Classical Integrability of the Supercoset Model; 2.1.3 The AdS5timesS5 String Action in the AdS Light-Cone Gauge; 2.2 The AdS4timesmathbbCP3 String Action in the AdS Light-Cone Gauge; References; 3 Geometric Properties of Semiclassically Quantized Strings; 3.1 Geometry of the AdS5timesS5 Space; 3.2 The Minimal-Surface Equations; 3.3 Bosonic Fluctuations; 3.3.1 The Bosonic Lagrangian; 3.3.2 The Normal Bundle; 3.3.3 Mass Matrix and Sum Rules; 3.4 Fermionic Fluctuations; 3.4.1 The Kinetic Term; 3.4.2 The Flux Term.
- Supervisor's Foreword; Abstract; Acknowledgements; Contents; 1 Introduction; 1.1 The AdS5/CFT4 and AdS4/CFT3 Correspondences; 1.2 Integrable Systems in AdS/CFT; 1.3 Quantization of Strings in AdS/CFT; 1.4 Perturbation Theory for Sigma-Models; 1.4.1 Two-Dimensional Fluctuation Operators; 1.4.2 String Effective Action Beyond the Next-to-Leading Order; 1.5 Lattice Field Theory for the AdS5timesS5 String Sigma-Model; 1.6 Plan of the Thesis; References; 2 Superstring Actions in AdS5timesS5 and AdS4timesmathbbCP3 Spaces; 2.1 Supercoset Construction of the String Action in AdS5timesS5.
- 3.4.3 Mass Matrix and Sum Rule3.5 Quantum Divergences; 3.5.1 Regularization of the Classical Action; 3.5.2 One-Loop Divergences; References; 4 "Exact'' Semiclassical Quantization of Folded Spinning Strings; 4.1 Fluctuation Spectrum for the Folded Strings; 4.1.1 Landau-Lifshitz Effective Action for the (J1,J2)-String; 4.1.2 Bosonic Action for the (S, J)-String; 4.2 Bosonic One-Loop Partition Functions; 4.2.1 One-Loop Energy for the (J1,J2)-String; 4.2.2 One-Loop Energy for the (S, J)-String; References; 5 Towards Precision Holography for Latitude Wilson Loops.
- 5.1 Review of Supersymmetric Wilson Loops in mathcalN=4 SYM5.2 Localization of DGRT Wilson Loops on S2; 5.2.1 1/2-BPS Circular Wilson Loop; 5.2.2 1/4-BPS Latitude Wilson Loops; 5.3 Semiclassical Strings for Latitude Wilson Loops; 5.4 Classical Solution; 5.5 One-Loop Fluctuation Determinants; 5.5.1 Bosonic Sector; 5.5.2 Fermionic Sector; 5.6 One-Loop Partition Functions; 5.6.1 The Circular Loop; 5.6.2 Ratio Between Latitude and Circular Loop; 5.7 Comparison with Recent Developments; 5.8 Unresolved Subtleties in Sigma-Model Perturbation Theory; References.
- 6 Light-Like Cusp Anomaly and the Interpolating Function in ABJM6.1 The Null Cusp Vacuum and Fluctuation Lagrangian; 6.2 Cusp Anomaly at One Loop; 6.3 Cusp Anomaly at Two Loops; 6.3.1 Bosonic Sector; 6.3.2 Fermionic Sector; 6.3.3 Comparison with the AdS5timesS5 Scaling Function at Two Loops; References; 7 AdS5timesS5 Superstring on the Lattice; 7.1 The Cusp Anomaly of mathcalN=4 SYM and the Light-Like Limit; 7.2 The Continuum Action and Its Symmetries; 7.2.1 The Action in the AdS Light-Cone Gauge; 7.2.2 The Mass Spectrum; 7.2.3 Global Symmetries of the Action.