Papers by George Zoupanos
A Split-Like Supersymmetric Model from the Dimensional Reduction of an $$\mathcal{N} = 1$$, 10D, $${{E}_{8}}$$ Theory over a Modified Flag Manifold
Physics of Particles and Nuclei, Nov 28, 2023
Contributed to, 2012
All-loop Finite Unified Theories (FUTs) are very interesting N = 1 supersymmetric Grand Unified T... more All-loop Finite Unified Theories (FUTs) are very interesting N = 1 supersymmetric Grand Unified Theories (GUTs) realising an old field theory dream, and moreover have a remarkable predictive power due to the required reduction of couplings. Based on this theoretical framework phenomenologically consistent FUTs have been constructed. Here we review two FUT models based on the SU (5) gauge group, which can be seen as special, restricted and thus very predictive versions of the MSSM. We show that from the requirement of correct prediction of quark masses and other experimental constraints a light Higgs-boson mass in the range M h ∼ 121 -126 GeV is predicted, in striking agreement with recent experimental results from ATLAS and CMS. The model furthermore naturally predicts a relatively heavy spectrum with colored supersymmetric particles above ∼ 1.5 TeV in agreement with the non-observation of those particles at the LHC.
New Challenges in Unified Theories: From Finiteness to Fuzzy Extra Dimensions
Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories, which can be made a... more Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories, which can be made all-loop finite, both in the dimensionless (gauge and Yukawa couplings) and dimensionful (soft supersymmetry breaking terms) sectors. This remarkable property, based on the reduction of couplings at the quantum level, provides a drastic reduction in the number of free parameters. By confronting the predictions of SU(5) FUTs with the top and bottom quark masses we are able to discriminate among different models. Including further low-energy phenomenology constraints, such as B physics observables, the bound on the SM Higgs mass and the cold dark matter density, we derive predictions for the lightest Higgs boson mass and the sparticle spectrum. Next we consider gauge theories defined in higher dimensions, where the extra dimensions form a fuzzy space (a finite matrix manifold). We reinterpret these gauge theories as four-dimensional theories with KaluzaKlein modes. We then perform a generalized a la Forgacs-Manton dimensional reduction. We emphasize some striking features emerging such as (i) the appearance of non-abelian gauge theories in four dimensions starting from an abelian gauge theory in higher dimensions, (ii) the fact that the spontaneous symmetry breaking of the theory takes place entirely in the extra dimensions and (iii) the renormalizability of the theory both in higher as well as in four dimensions. Then reversing the above approach we present a renormalizable four dimensional SU(N) gauge theory with a suitable multiplet of scalar fields, which via spontaneous symmetry breaking dynamically develops extra dimensions in the form of a fuzzy sphere S 2 . We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on M 4 ×S 2 , the scalars being interpreted as gauge fields on S 2 . Depending on the parameters of the model the low-energy gauge group can
Physics Letters B, Nov 1, 1984
Dimensional reduction of ten-dimensional E8 gauge theory over a compact coset space S/R
Physics Letters B, Dec 1, 1985
Dimensional reduction of pure gauge theories over a compact coset space S/R leads to four-dimensi... more Dimensional reduction of pure gauge theories over a compact coset space S/R leads to four-dimensional Yang-Mills-Higgs theories. We present a complete analysis of the four-dimensional unified models obtained by dimensionally reducing an E8 gauge theory in ten dimensions over all possible six-dimensional homogeneous spaces S/R when S is a subgroup of E8 and simple. On leave from Physics Department, National Technical University, Athens, Greece.
Reducing the N = 1, 10-d, $$E_8$$ Gauge Theory over a Modified Flag Manifold
Springer eBooks, 2004
The Coulomb branch of N = 2 supersymmetric gauge theories in four dimensions is described in gene... more The Coulomb branch of N = 2 supersymmetric gauge theories in four dimensions is described in general by an integrable Hamiltonian system in the holomorphic sense. A natural construction of such systems comes from two-dimensional gauge theory and spectral curves. Starting from this point of view, we propose an integrable system relevant to the N = 2 SU (n) gauge theory with a hypermultiplet in the adjoint representation, and offer much evidence that it is correct. The model has an SL(2, Z) S-duality group (with the central element -1 of SL(2, Z) acting as charge conjugation); SL(2, Z) permutes the Higgs, confining, and oblique confining phases in the expected fashion. We also study more exotic phases.
Supersymmetric Unified Theories
Springer eBooks, 2004
A gauge-theoretic approach of noncommutative gravity in four dimensions
International Journal of Modern Physics, Mar 3, 2022
We recall the well-known description of the conformal gravity as a gauge theory and translate the... more We recall the well-known description of the conformal gravity as a gauge theory and translate the program to the noncommutative framework by constructing a gravity model on a covariant 4D noncommutative space. After determining the action of the theory we proceed to a symmetry breaking scheme by the imposition of constraints.
Quantum Reduction of Couplings in Finite Unified Theories
Nucleation and Atmospheric Aerosols, 2005
Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories, which can be made a... more Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories, which can be made all‐loop finite, both in the dimensionless (gauge and Yukawa couplings) and dimensionful (soft supersymmetry breaking terms) sectors. This remarkable property provides a drastic reduction in the number of free parameters, which in turn leads to an accurate prediction of the top quark mass in the dimensionless sector, and predictions for the Higgs boson mass and the supersymmetric spectrum in the dimensionful sector. Here we examine the predictions of two FUTs taking into account a number of theoretical and experimental constraints. We present the results of a detailed scanning concerning the Higgs mass prediction for both models, while for the second we present a representative prediction of its spectrum.
Physics Letters B, Oct 1, 1990
Coset Space Dimension Reduction of Gauge Theories
Springer eBooks, 1989
SU(5) finite unified theories and the mass of the top quark
Structure and spontaneous symmetry breaking of a gauge theory based on SU (5|1)
Physics Letters B, Oct 1, 1993
We consider a gauge theory based on the SU (5∣ 1) supergroup. A new version of the Wilson flux br... more We consider a gauge theory based on the SU (5∣ 1) supergroup. A new version of the Wilson flux breaking mechanism is introduced intimately connected to the quantum structure of the space on which the theory is defined. As a result, the standard SU (3)× SU (2)× U (1) ...
European Physical Journal C, Mar 1, 1992
Higher-Dimensional Theories with continuous or fuzzy coset spaces as extra dimensions
Romanian Journal of Physics, 2015
We review the Coset Space Dimensional Reduction (CSDR) scheme and the best model constructed so f... more We review the Coset Space Dimensional Reduction (CSDR) scheme and the best model constructed so far. Then we present some details of the CSDR programme, in an alternate version, in which the extra dimensions are considered to be fuzzy. Specifically, we present a four-dimensional N = 4 SYM theory, orbifolded by Z 3 , which mimics the behaviour of a dimensionally reduced N = 1 , ten-dimensional gauge theory over a set of fuzzy spheres at intermediate high scales. This leads to the trinification GUT SU (3) 3 at slightly lower, which in turn can be spontaneously broken to the MSSM in low scales.
Dimensional reduction of ten-dimensional E8 gauge theory over a compact coset space S/R
Physics Letters B, 1985
Dimensional reduction of pure gauge theories over a compact coset space S/R leads to four-dimensi... more Dimensional reduction of pure gauge theories over a compact coset space S/R leads to four-dimensional Yang-Mills-Higgs theories. We present a complete analysis of the four-dimensional unified models obtained by dimensionally reducing an E8 gauge theory in ten dimensions over all possible six-dimensional homogeneous spaces S/R when S is a subgroup of E8 and simple. On leave from Physics Department, National Technical University, Athens, Greece.
Finite Unified Theories and Low Energy Phenomenology
AIP Conference Proceedings, 2007
Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories, which can be made a... more Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories, which can be made all‐loop finite, both in the gauge and Yukawa couplings and in the soft supersymmetry breaking sector. This remarkable property, based on the reduction of couplings at the quantum level, provides a drastic reduction in the number of free parameters, which in turn leads to an accurate prediction of the top quark mass, and predictions for the Higgs boson mass and the supersymmetric spectrum. Here we examine the predictions of three FUTs taking into account a number of theoretical and experimental constraints.
Quantum Reduction of Couplings in Finite Unified Theories
AIP Conference Proceedings, 2005
Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories, which can be made a... more Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories, which can be made all‐loop finite, both in the dimensionless (gauge and Yukawa couplings) and dimensionful (soft supersymmetry breaking terms) sectors. This remarkable property provides a drastic reduction in the number of free parameters, which in turn leads to an accurate prediction of the top quark mass in the dimensionless sector, and predictions for the Higgs boson mass and the supersymmetric spectrum in the dimensionful sector. Here we examine the predictions of two FUTs taking into account a number of theoretical and experimental constraints. We present the results of a detailed scanning concerning the Higgs mass prediction for both models, while for the second we present a representative prediction of its spectrum.
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Papers by George Zoupanos