TASI Lectures on Supergravity and String Vacua in Various Dimensions
arXiv:1104.2051
Abstract
These lectures aim to provide a global picture of the spaces of consistent quantum supergravity theories and string vacua in higher dimensions. The lectures focus on theories in the even dimensions 10, 8, and 6. Supersymmetry, along with with anomaly cancellation and other quantum constraints, places strong limitations on the set of physical theories which can be consistently coupled to gravity in higher-dimensional space-times. As the dimensionality of space-time decreases, the range of possible supergravity theories and the set of known string vacuum constructions expand. These lectures develop the basic technology for describing a variety of string vacua, including heterotic, intersecting brane, and F-theory compactifications. In particular, a systematic presentation is given of the basic elements of F-theory. In each dimension, we summarize the current state of knowledge regarding the extent to which supergravity theories not realized in string theory can be shown to be inconsistent.
97 pages, 9 figures; TASI lecture notes; v2: references added, minor improvements
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Cited by in corpus (36)
- Tensionless Strings and the Weak Gravity Conjecture
- F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
- A Stringy Test of the Scalar Weak Gravity Conjecture
- Classifying bases for 6D F-theory models
- Matter and singularities
- Anomaly Equations and Intersection Theory
- Gauged Supergravities
- Toric bases for 6D F-theory models
- Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds
- On the Hodge structure of elliptically fibered Calabi-Yau threefolds
- F-Theory Compactifications with Multiple U(1)-Factors: Addendum
- General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure
- Calabi-Yau threefolds with large h^{2, 1}
- On the Swampland Cobordism Conjecture and Non-Abelian Duality Groups
- Geometric constraints in dual F-theory and heterotic string compactifications
- Anomaly Cancelation in Field Theory and F-theory on a Circle
- F-theory on Quotient Threefolds with (2,0) Discrete Superconformal Matter
- Fine Tuning, Sequestering, and the Swampland
- Exploring 6D origins of 5D supergravities with Chern-Simons terms
- Curvature squared invariants in six-dimensional supergravity
- Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds
- The Cremmer-Scherk Mechanism in F-theory Compactifications on K3 Manifolds
- Charge completeness and the massless charge lattice in F-theory models of supergravity
- 6D SCFTs and Gravity
- Non-toric bases for elliptic Calabi-Yau threefolds and 6D F-theory vacua
- 6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces
- Anomalies as Obstructions: from Dimensional Lifts to Swampland
- Automatic Enhancement in 6D Supergravity and F-theory Models
- Twelve-dimensional Effective Action and T-duality
- de Sitter vacua and supersymmetry breaking in six-dimensional flux compactifications
- Heterotic/Heterotic and Heterotic/F-theory Duality
- One-loop Chern-Simons terms in five dimensions
- Orders of Vanishing and U(1) Charges in F-theory
- Extremal 1/2 Calabi-Yau 3-folds and six-dimensional F-theory applications
- A Brief Summary Of Global Anomaly Cancellation In Six-Dimensional Supergravity
- Intersecting brane models and F-theory in six dimensions