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      Fuzzy extra dimensions and particle physics models

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          Abstract

          In the present contribution the construction of particle physics models in theories with fuzzy extra dimensions is discussed. We focus on a bottom-up approach where the structure of a higher-dimensional theory arises within ordinary four-dimensional field theory via an appropriate mechanism based on spontaneous symmetry breaking. Subsequently, possible ways to obtain particle physics models with realistic spectrum in this framework are exhibited.

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          M Theory As A Matrix Model: A Conjecture

          L. Susskind, W. Fischler, S. Shenker … (1996)
          We suggest and motivate a precise equivalence between uncompactified eleven dimensional M-theory and the N = infinity limit of the supersymmetric matrix quantum mechanics describing D0-branes. The evidence for the conjecture consists of several correspondences between the two theories. As a consequence of supersymmetry the simple matrix model is rich enough to describe the properties of the entire Fock space of massless well separated particles of the supergravity theory. In one particular kinematic situation the leading large distance interaction of these particles is exactly described by supergravity . The model appears to be a nonperturbative realization of the holographic principle. The membrane states required by M-theory are contained as excitations of the matrix model. The membrane world volume is a noncommutative geometry embedded in a noncommutative spacetime.
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            4d Conformal Field Theories and Strings on Orbifolds

            S. Kachru, E Silverstein (1998)
            We propose correspondences between 4d quantum field theories with N=2,1,0 (super)conformal invariance and Type IIB string theory on various orbifolds. We argue using the spacetime string theory, and check using the beta functions (exactly for N=2,1 and so far at 1-loop for the gauge couplings in the N=0 case), that these theories have conformal fixed lines. The latter case potentially gives well-defined non-supersymmetric vacua of string theory, with a mechanism for making the curvature and cosmological constant small at nontrivial string coupling. We suggest a correspondence between nonsupersymmetric conformal fixed lines and nonsupersymmetric string vacua with vanishing vacuum energy.
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              Neutrino masses and proton decay modes in SU(3)×SU(3)×SU(3) trinification

              Xiao-Gang He, K. Babu, Sandip Pakvasa (1986)
              Article 0 comments Cited 20 times – based on 0 reviews     Review now
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                Author and article information

                Journal
                Publication date Created: 04 February 2011
                Article
                ArXiV ID: 1102.0910
                SO-VID: 479e1297-5b42-4072-a151-d149848f937a
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Journal reference PoS CNCFG2010:014,2011
                Comments 15 pages; contribution to the proceedings of Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity, September 8-12, 2010, Corfu, Greece
                Categories hep-th hep-ph

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