Special Holonomy and Two-Dimensional Supersymmetric Sigma-Models

Abstract

Two-dimensional sigma-models describing superstrings propagating on manifolds of special holonomy are characterized by symmetries related to covariantly constant forms that these manifolds hold, which are generally non-linear and close in a field dependent sense. The thesis explores various aspects of the special holonomy symmetries.

PhD thesis, 149 pages; King's College London, 2006

References in corpus (52)

• Super-Poincare Covariant Quantization of the Superstring
• The statistics of string/M theory vacua
• D-Branes and Topological Field Theories
• The String Landscape and the Swampland
• Applied Conformal Field Theory
• D-Branes on Calabi-Yau Spaces and Their Mirrors
• Non-Kaehler String Backgrounds and their Five Torsion Classes
• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Generalized structures of N=1 vacua
• G-Structures and Wrapped NS5-Branes
• Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
• Lectures on Special Lagrangian Submanifolds
• Kappa-Symmetry, Supersymmetry and Intersecting Branes
• Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry
• Remarks on A-branes, Mirror Symmetry, and the Fukaya category
• Supersymmetry and generalized calibrations
• Supersymmetric Cycles in Exceptional Holonomy Manifolds and Calabi-Yau 4-Folds
• Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds
• Lectures on Calabi-Yau and special Lagrangian geometry
• Some numerical results in complex differential geometry
• Holonomy groups and W-symmetries
• N=1 supersymmetric sigma model with boundaries, II
• Generalised $G_2$-manifolds
• Branes, Calibrations and Supergravity
• A note on the extended superconformal algebras associated with manifolds of exceptional holonomy
• Consistent Boundary Conditions for Open Strings
• N=2 Boundary conditions for non-linear sigma models and Landau-Ginzburg models
• Lectures on special Lagrangian geometry
• Refining G-structure classifications
• Review of Open Superstring Field Theory
• Global Symmetries in the Antifield-Formalism
• D-branes in N=2 WZW models
• A tour through N=2 strings
• Rational Conformal Field Theories With G_2 Holonomy
• Parallel spinors and holonomy groups
• Hiding Anomalies
• BUSSTEPP Lectures on Supersymmetry
• Quantum, higher-spin, local charges in symmetric space sigma models
• Stability Conditions For Topological D-branes: A Worldsheet Approach
• Supermanifolds - Application to Supersymmetry
• N=2 supersymmetric W-algebras
• Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces
• Connection with torsion, parallel spinors and geometry of Spin(7) manifolds
• Generalised Holonomy for Higher-Order Corrections to Supersymmetric Backgrounds in String and M-Theory
• Higher-Order Corrections to Non-Compact Calabi-Yau Manifolds in String Theory
• On the symmetries of special holonomy sigma models
• Extension of the N=2 Virasoro algebra by two primary fields of dimension 2 and 3
• Anomalies in N=2 supersymmetric non-linear sigma models on compact Kahler Ricci-flat target spaces
• Nonlocal regularisation and two-dimensional induced actions
• Batalin-Vilkovisky Lagrangian Quantisation
• On Rigidly Scalar-Flat Manifolds
• Review of W Strings