Evidence for F(uzz) Theory
arXiv:1005.3033 · doi:10.1007/JHEP01(2011)044
Abstract
We show that in the decoupling limit of an F-theory compactification, the internal directions of the seven-branes must wrap a non-commutative four-cycle S. We introduce a general method for obtaining fuzzy geometric spaces via toric geometry, and develop tools for engineering four-dimensional GUT models from this non-commutative setup. We obtain the chiral matter content and Yukawa couplings, and show that the theory has a finite Kaluza-Klein spectrum. The value of 1/alpha_(GUT) is predicted to be equal to the number of fuzzy points on the internal four-cycle S. This relation puts a non-trivial restriction on the space of gauge theories that can arise as a limit of F-theory. By viewing the seven-brane as tiled by D3-branes sitting at the N fuzzy points of the geometry, we argue that this theory admits a holographic dual description in the large N limit. We also entertain the possibility of constructing string models with large fuzzy extra dimensions, but with a high scale for quantum gravity.
v2: 66 pages, 3 figures, references and clarifications added
References in corpus (22)
- GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
- New Aspects of Heterotic--F Theory Duality
- Form factors at strong coupling via a Y-system
- Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
- Particle Physics Implications of F-theory
- Gauge Coupling Unification in F-theory GUT Models
- F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds
- Cohomology of Line Bundles: A Computational Algorithm
- Higgs Bundles and UV Completion in F-Theory
- Non-perturbative effects on seven-brane Yukawa couplings
- Global F-theory Models: Instantons and Gauge Dynamics
- Yukawa Couplings in F-theory and Non-Commutative Geometry
- The Point of E_8 in F-theory GUTs
- Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking
- The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory
- On Gauge Threshold Corrections for Local IIB/F-theory GUTs
- Fermions on spontaneously generated spherical extra dimensions
- On the fermion spectrum of spontaneously generated fuzzy extra dimensions with fluxes
- Fuzzy Toric Geometries
- Noncommutative vector bundles over fuzzy CP^N and their covariant derivatives
- Topics on String Phenomenology
- Decoupling Gravity in F-Theory
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- Intersecting branes and a standard model realization in matrix models
- An Exceptional Sector for F-theory GUTs
- UV Completions for Non-Critical Strings
- From 6D SCFTs to Dynamic GLSMs
- Flipped SU(5) GUTs from E_8 Singularities in F-theory
- SU(3) x SU(2) x U(1) Vacua in F-Theory
- On F-theory E_6 GUTs
- The Conformal Sector of F-theory GUTs
- Instantons, Twistors, and Emergent Gravity
- 6D SCFTs and Gravity
- On Global Flipped SU(5) GUTs in F-theory
- Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons
- Gauge theories from D7-branes over vanishing 4-cycles
- On the Standard Model Group in F-theory
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- Statistical Inference and String Theory
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