M-Phenomenology

Recent developments involving strongly coupled superstrings are discussed from a phenomenological point of view. In particular, strongly coupled $E_8\times E'_8$ is described as an appropriate long-wavelength limit of M-theory, and some generic phenomenological implications are analyzed, including a long sought downward shift of the string unification scale and a novel way to break supersymmetry. A specific scenario is presented that leads to a rather light, and thus presently experimentally testable, sparticle spectrum.Comment: 22 pages, 2 figure

Some Physical Aspects of Liouville String Dynamics

We discuss some physical aspects of our Liouville approach to non-critical strings, including the emergence of a microscopic arrow of time, effective field theories as classical ``pointer'' states in theory space, $CPT$ violation and the possible apparent non-conservation of angular momentum. We also review the application of a phenomenological parametrization of this formalism to the neutral kaon system.Comment: CERN-TH.7269/94, 37 pages, 2 figures (not included), latex. Direct inquiries to: [email protected]

The SuperWorlds of SU(5) and SU(5)xU(1): A Critical Assessment and Overview

We present an overview of the simplest supergravity models which enforce radiative breaking of the electroweak symmetry, namely the minimal $SU(5)$ supergravity model and the class of string-inspired/derived supergravity models based on the flipped $SU(5)\times U(1)$ structure supplemented by a minimal set of additional matter representations such that unification occurs at the string scale (\sim10^{18}\GeV). These models can be fully parametrized in terms of the top-quark mass, the ratio $\tan\beta=v_2/v_1$, and three supersymmetry breaking parameters ($m_{1/2},m_0,A$). The latter are chosen in the minimal $SU(5)$ model such that the stringent constraints from proton decay and cosmology are satisfied. In the flipped $SU(5)$ case we consider two string-inspired supersymmetry breaking scenaria: $SU(N,1)$ no-scale supergravity and a dilaton-induced supersymmetry breaking scenario. Both imply universal soft supersymmetry breaking parameters: $m_0=A=0$ and m_0=\coeff{1}{\sqrt{3}}m_{1/2}, A=-m_{1/2} respectively. We present a comparative study of the sparticle and Higgs spectra of both flipped $SU(5)$ models and the minimal $SU(5)$ model and conclude that all can be partially probed at the Tevatron and LEPII (and the flipped models at HERA too). In both flipped $SU(5)$ cases there is a more constrained version which allows to determine $\tan\beta$ in terms of $m_t,m_{\tilde g}$ and which leads to much sharper and readily accessible experimental predictions. We also discuss the prospects for indirect experimental detection: a non-trivial fraction of the parameter space of the flipped $SU(5)$ models is in conflict with the present experimental allowed range for the $b\to s\gamma$ rare decay mode, and the one-loop electroweak radiative corrections imply the 90\% CL upper boundComment: CERN-TH.6934/93, CTP-TAMU-34/93, LaTeX, 58 pages, 20 embedded figures. Complete ps file (~12000 blocks, 5.24MB) available via anonymous ftp from site tamsun.tamu.edu in directory incoming, filename: CTP-TAMU-34-93.p

A Liouville String Approach to Microscopic Time and Cosmology

In the non-critical string framework that we have proposed recently, the time $t$ is identified with a dynamical local renormalization group scale, the Liouville mode, and behaves as a statistical evolution parameter, flowing irreversibly from an infrared fixed point - which we conjecture to be a topological string phase - to an ultraviolet one - which corresponds to a static critical string vacuum. When applied to a toy two-dimensional model of space-time singularities, this formalism yields an apparent renormalization of the velocity of light, and a $t$-dependent form of the uncertainty relation for position and momentum of a test string. We speculate within this framework on a stringy alternative to conventional field-theoretical inflation, and the decay towards zero of the cosmological constant in a maximally-symmetric space.Comment: Latex 23 pages, no figures, CERN-TH.7000/93, CTP-TAMU-66/9

On a possible connection of non-critical strings to certain aspects of quantum brain function

We review certain aspects of brain function which could be associated with non-critical (Liouville) string theory. In particular we simulate the physics of brain microtubules (MT) by using a (completely integrable) non-critical string, we discuss the collapse of the wave function as a result of quantum gravity effects due to abrupt conformational changes of the MT protein dimers, and we propose a new mechanism for memory coding.Comment: Invited talk by D.V. Nanopoulos at the `four-seas conference', Trieste (Italy), 25 June-1 July 1995; latex file, 9 pages, one macro: 4seas95.sty, available from archive

The Electroweak Phase Transition in Minimal Supergravity Models

We have explored the electroweak phase transition in minimal supergravity models by extending previous analysis of the one-loop Higgs potential to include finite temperature effects. Minimal supergravity is characterized by two higgs doublets at the electroweak scale, gauge coupling unification, and universal soft-SUSY breaking at the unification scale. We have searched for the allowed parameter space that avoids washout of baryon number via unsuppressed anomalous Electroweak sphaleron processes after the phase transition. This requirement imposes strong constraints on the Higgs sector. With respect to weak scale baryogenesis, we find that the generic MSSM is {\it not} phenomenologically acceptable, and show that the additional experimental and consistency constraints of minimal supergravity restricts the mass of the lightest CP-even Higgs even further to m_h\lsim 32\GeV (at one loop), also in conflict with experiment. Thus, if supergravity is to allow for baryogenesis via any other mechanism above the weak scale, it {\it must} also provide for B-L production (or some other `accidentally' conserved quantity) above the electroweak scale. Finally, we suggest that the no-scale flipped $SU(5)$ supergravity model can naturally and economically provide a source of B-L violation and realistically account for the observed ratio $n_B/n_\gamma\sim 10^{-10}$.Comment: 14 pages (not including two postscript figures available upon request