Richard Slansky

Dimensional reduction and flavor chirality

We show that phenomenologically realistic flavor-chiral Yang-Mills-Higgs theories in 4 dimensions can be derived by dimensional reduction of 10-dimensional vectorlike and gauge theories, where the extra 6 dimensions form a compact coset space with scale size r. The dimensional reduction often implies a symmetry breaking pattern like that of the electroweak theory, in which case it is natural to propose r ⋍ GF12. Quantum effects then determine the short-distance behavior of the theory, including any additional symmetry breaking.

Dimensional Reduction in the Early Universe: Where Have the Massive Particles Gone?

Abstract In many models based on reduction from greater than four dimensions, there are absolutely stable particles with masses of order R −1 ( R is the compactification scale). If the temperature of the universe were ever close to R −1 , these massive states would have been present and some would have survived annihilation. We calculate the present mass density due to these particles and find both the five-dimensional model and some versions of N = 8 supergravity to be unacceptable. We discuss some possible solutions to this problem.

Magnetic Moments of Composite Fermions

Abstract There have been a considerable number of papers proposing composite models for leptons and quarks. Recently, Gluck and Lipkin have stated that reproducing the observed magnetic moments of these fermions presents a serious difficulty for these composite models. We show for a renormalizable theory that, in contrast to Glucks and Lipkins nonrelativistic arguments, a deeply bound system (with heavy constituent particle masses mc) of (total) spin 1 2 , charge e and mass m has the magnetic moment (e/2m) [1 + “usual” (QED + QCD + weak) corrections +O (m/m c ) “new” bindng corrections] . Although there remains the considerable dynamical problem of obtaining “light” bound fermions from heavy constituents, there is no separate, additional magnetic moment difficulty.

An algebraic role for energy and number operators for multiparticle states

Abstract The role of the hamiltonian in the symmetry structure of a two-dimensional conformal field theory is reviewed in the context of Kac-Moody algebras. We explore a natural way to extend a Kac-Moody algebra to include the hamiltonian and number (or level operator in conformal field theory) operators in a generalized symmetry. In particular, both operators may be in the Cartan subalgebra of one of the recently discovered Borcherds algebras. Several representations of Borcherds algebras are computed to show their typical features. We study the extension of affine su(2) to a Borcherds algebra in some detail, and explicitly demonstrate the above claims.

Scenario for cold fusion by free quark catalysis

SummaryFleischmann and Pons have reported the astonishing results of watts of power from cold deuteron fusion without large amounts of radiation. We present a scenario in which small numbers of free stable

A search for free quarks in heavy-ion collisions at 60 and 200 GeV/nucleon

\bar u\bar u = Q

Highest-weight representations of Brocherd`s algebras

anti-diquarks (electric charge of −4/3, mass of a few GeV, and short-range strong repulsion with hadrons) catalyze the deuteron fusion. The reaction channel4He+Q dominates. We predict bursts of neutrons with a 3-body energy spectrum. However, independently of the findings of these experiments, the Q catalysis is attractive in that it could provide large power production, with relatively low radioactivity, if this kind of matter is found and accumulated.

Forty-five years of many-body theory: What is the relation of field theory and representations of Lie algebras?

Abstract We list the four-dimensional supergravities that are derived from the N = 2, ten-dimensional supergravities using the method of coset-space dimensional reduction. The spectrum of each four-dimensional theory consists of those super-multiplets that are invariant under the symmetry transformations of the coset space.