The large N limit of superconformal field theories is dual to supergravity on Anti-de Sitter spacetimes.
Canonical reference
Evidence for F-Theory
Canonical reference. 100% of citing Pith papers cite this work as background.
13
Pith papers citing it
972
external citations · Pith
Background
100% of classified citations
abstract
We construct compact examples of D-manifolds for type IIB strings. The construction has a natural interpretation in terms of compactification of a 12 dimensional `F-theory'. We provide evidence for a more natural reformulation of type IIB theory in terms of F-theory. Compactification of M-theory on a manifold $K$ which admits elliptic fibration is equivalent to compactification of F-theory on $K\times S^1$. A large class of $N=1$ theories in 6 dimensions are obtained by compactification of F-theory on Calabi-Yau threefolds. A class of phenomenologically promising compactifications of F-theory is on $Spin(7)$ holonomy manifolds down to 4 dimensions. This may provide a concrete realization of Witten's proposal for solving the cosmological constant problem in four dimensions.
citation-role summary
background 7
citation-polarity summary
fields
hep-th 13roles
background 6polarities
background 6representative citing papers
In codimension-one warped compactifications with exponential potentials, the KK mass decay rate λ_KK is reduced by warping but still satisfies the Sharpened Distance Conjecture precisely when the higher-dimensional potential obeys the Strong de Sitter condition.
An algorithm builds Calabi-Yau orientifolds and F-theory fourfold uplifts from 6d reflexive polytopes derived from orientifold data, with code in CYTools and GitHub.
In F-theory GUTs, non-universal ALPs induced by hypercharge flux satisfy g_aγ/m_a well below the QCD axion prediction when gauge couplings unify near the string scale.
Non-fibered Calabi-Yau threefolds in toric hypersurface and CICY classes connect to fibered Calabi-Yau threefolds via single-divisor shrinking transitions.
Non-perturbative g_s corrections obstruct perturbative Type IIB descriptions and can remove classical infinite distance degenerations in asymptotic regions of the complex structure moduli space.
Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
Proposes G2 torsion classes as a characterization tool for torsion and supersymmetry breaking in M-theory on deformed K3 fibrations, leading to non-supersymmetric 4D theories via reductions to Type 0A and heterotic strings.
QCD axions constrain F-theory base threefolds to have rigid or flux-rigidified divisors, yielding typical axion masses around 10^{-9} eV and decay constants near 10^{15} GeV in allowed regions.
Casimir backreaction obstructs asymptotically locally flat black-brane completions of naked singularities in non-supersymmetric 7-brane solutions within the studied ansatz.
Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.
citing papers explorer
-
The Large N Limit of Superconformal Field Theories and Supergravity
The large N limit of superconformal field theories is dual to supergravity on Anti-de Sitter spacetimes.
-
Alice in Warpland: KK modes, Warped Compactifications and the Swampland
In codimension-one warped compactifications with exponential potentials, the KK mass decay rate λ_KK is reduced by warping but still satisfies the Sharpened Distance Conjecture precisely when the higher-dimensional potential obeys the Strong de Sitter condition.
-
Calabi-Yau Orientifold Hypersurfaces and their F-theory Uplifts
An algorithm builds Calabi-Yau orientifolds and F-theory fourfold uplifts from 6d reflexive polytopes derived from orientifold data, with code in CYTools and GitHub.
-
Testing F-theory GUTs with the Axiverse
In F-theory GUTs, non-universal ALPs induced by hypercharge flux satisfy g_aγ/m_a well below the QCD axion prediction when gauge couplings unify near the string scale.
-
An elliptic approach to Reid's fantasy
Non-fibered Calabi-Yau threefolds in toric hypersurface and CICY classes connect to fibered Calabi-Yau threefolds via single-divisor shrinking transitions.
-
Quantum obstructions for $N=1$ infinite distance limits -- Part I: $g_s$ obstructions
Non-perturbative g_s corrections obstruct perturbative Type IIB descriptions and can remove classical infinite distance degenerations in asymptotic regions of the complex structure moduli space.
-
Anomalies in family unification models from bordism classification
Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
-
Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes
Proposes G2 torsion classes as a characterization tool for torsion and supersymmetry breaking in M-theory on deformed K3 fibrations, leading to non-supersymmetric 4D theories via reductions to Type 0A and heterotic strings.
-
Constraining F-theory Model Building with QCD Axions
QCD axions constrain F-theory base threefolds to have rigid or flux-rigidified divisors, yielding typical axion masses around 10^{-9} eV and decay constants near 10^{15} GeV in allowed regions.
-
A Casimir obstruction to asymptotically flat black-brane completions of non-supersymmetric 7-branes
Casimir backreaction obstructs asymptotically locally flat black-brane completions of naked singularities in non-supersymmetric 7-brane solutions within the studied ansatz.
-
Lectures on Naturalness, String Landscape and Multiverse
Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.
- A Crash Course in Supersymmetric Field Theory Across Dimensions
- Double fibration in G-theory and the cobordism conjecture