Orbifolds, fuzzy spheres and chiral fermions
arXiv:1002.2606 · doi:10.1007/JHEP05(2010)100
Abstract
Starting with a N=4 supersymmetric Yang-Mills theory in four dimensions with gauge group SU(3N) we perform an orbifold projection leading to a N=1 supersymmetric SU(N)^3 Yang-Mills theory with matter supermultiplets in bifundamental representations of the gauge group, which is chiral and anomaly free. Subsequently, we search for vacua of the projected theory which can be interpreted as spontaneously generated twisted fuzzy spheres. We show that by adding the appropriate soft supersymmetry breaking terms we can indeed reveal such vacua. Three cases are studied, where the gauge group is spontaneously broken further to the low-energy gauge groups SU(4)xSU(2)xSU(2), SU(4)^3 and SU(3)^3. Such models behave in intermediate scales as higher-dimensional theories with a finite Kaluza-Klein tower, while their low-energy physics is governed by the corresponding zero-modes and exhibit chirality in the fermionic sector. The most interesting case from the phenomenological point of view turns out to be the SU(3)^3 unified theory, which has several interesting features such as (i) it can be promoted to a finite theory, (ii) it breaks further spontaneously first to the MSSM and then to SU(3)xU(1)_{em} due to its own scalar sector, i.e. without the need of additional superfields and (iii) the corresponding vacua lead to spontaneously generated fuzzy spheres.
24 pages, minor changes, references added, matching with the published version
References in corpus (39)
- The Anatomy of Electro-Weak Symmetry Breaking. II: The Higgs bosons in the Minimal Supersymmetric Model
- A Large-N Reduced Model as Superstring
- Electroweak symmetry breaking from dimensional deconstruction
- D-branes, Quivers, and ALE Instantons
- (De)Constructing Dimensions
- 4d Conformal Field Theories and Strings on Orbifolds
- Extra Spacetime Dimensions and Unification
- Gauge Theory on Noncommutative Spaces
- On Conformal Theories in Four Dimensions
- D-Branes at Singularities : A Bottom-Up Approach to the String Embedding of the Standard Model
- Orbifold Resolution by D-Branes
- Non-Kaehler String Backgrounds and their Five Torsion Classes
- Superstrings with Intrinsic Torsion
- Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model
- Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model
- Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term
- Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models
- Unification and Extra Space-Time Dimensions
- Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking
- Dimensional Reduction over Fuzzy Coset Spaces
- Running of Soft Parameters in Extra Space-Time Dimensions
- Fermions on spontaneously generated spherical extra dimensions
- Dimensional Reduction over Coset Spaces and Supersymmetry Breaking
- MSSM from SUSY Trinification
- Kaluza-Klein Thresholds and Regularization (In)dependence
- Finite SU(N)^k Unification
- On the fermion spectrum of spontaneously generated fuzzy extra dimensions with fluxes
- Noncommutative gauge theory and symmetry breaking in matrix models
- A Chiral D=4, N=1 String Vacuum with a Finite Low Energy Effective Field Theory
- Dimensional Reduction of ten-dimensional Supersymmetric Gauge Theories in the N=1, D=4 Superfield Formalism
- Orbifold Matrix Model
- A D-brane inspired U(3)_CxU(3)_LxU(3)_R model
- Supersymmetry Breaking by Dimensional Reduction over Coset Spaces
- Soft Supersymmetry Breaking due to Dimensional Reduction over Non-Symmetric Coset Spaces
- Renormalizable Theories from Fuzzy Higher Dimensions
- Unified Theories from Fuzzy Extra Dimensions
- Finite SU(3)^3 model
- Finite Unification: Theory and Predictions
- Fuzzy Extra Dimensions: Dimensional Reduction, Dynamical Generation and Renormalizability
Cited by in corpus (28)
- Chiral Fermions and the Standard Model from the Matrix Model Compactified on a Torus
- Reduction of Couplings and its application in Particle Physics
- Reduction of N=1, E_8 SYM over SU(3)/U(1) x U(1) x Z_3 and its four-dimensional effective action
- Four-dimensional Gravity on a Covariant Noncommutative Space
- Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
- trinification from dimensional reduction of , over and its phenomenological consequences
- Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
- Spinning squashed extra dimensions and chiral gauge theory from SYM
- Curvature and Gravity Actions for Matrix Models II: the case of general Poisson structure
- On Lie-algebraic solutions of the type IIB matrix model
- Realizing three generations of the Standard Model fermions in the type IIB matrix model
- Curvature and Gravity Actions for Matrix Models
- Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
- On the structure of the emergent 3d expanding space in the Lorentzian type IIB matrix model
- Noncommutative Vortices and Flux-Tubes from Yang-Mills Theories with Spontaneously Generated Fuzzy Extra Dimensions
- Probability of the Standard Model Appearance from a Matrix Model
- Intertwining noncommutativity with gravity and particle physics
- Equivariant Reduction of U(4) Gauge Theory over S_F^2 x S_F^2 and the Emergent Vortices
- Phenomenological Consequences of Supersymmetric Theories from Dimensional Reduction and Reduction of Couplings
- Ginsparg-Wilson relation on a fuzzy 2-sphere for adjoint matter
- New Fuzzy Extra Dimensions from Gauge Theories
- Equivariant Fields in an Gauge Theory with new Spontaneously Generated Fuzzy Extra Dimensions
- Chiral low-energy physics from squashed branes in deformed SYM
- NC GUTs: A Status Report
- Towards realistic models from Higher-Dimensional theories with Fuzzy extra dimensions
- A Gauge Theory on Fuzzy Extra Dimensions
- From Veltman's conditions to Finite Unification
- Phenomenological studies in the matrix models