of Prof. Sultan CATTO
Sultan Catto, Ph.D., Yale University (Mathematical Physics), has
made important contributions to the development of elementary particle
physics particularly in the area of dynamical supersymmetry, and in mathematics
in the areas of spectral theory of automorphic forms and octonionic
projective geometries with applications to quantum mechanics. He
is a professor and Executive Officer for the Ph.D. Program in Physics
at the CUNY Graduate School, member of Baruch College's informal algebra/number
theory group, Adjunct Associate Research Scientist in Henry Krumb
School of Mines, Columbia University, and Visiting Professor at the Rockefeller
University. He is also on the permanent International Advisory
Board of the "International Conferences on Differential Geometric Methods
in Theoretical Physics", "International Conferences on Symmetries
and Strings," and "International Wigner Symposia", together
with internationally renowned scientists and Nobel Laureates in physics
and Fields Medalists in mathematics. He has had short term physics
professorships at Niels Bohr Institute in Copenhagen, Academia
Sinica (Chinese Academy of Sciences) in Beijing, and Nankai University
in Tianjin, China and International Center for Theoretical Physics
in Trieste, Italy. He was a panel member on Hollywood and Science
at International Hamptons Film Festival sponsored by the Alfred P.
Sloan Foundation, and is a permanent member of the International Counsel
for Development of Science and Technology in Peru. He was awarded the
"Benjamin W. Lee Prize" by the International School of
Sub-Nuclear Physics (Ettore Majorana) in Sicily, Italy, for his work on quark-diquark
Starting with a series of papers published between 1985 and the
present, he and his collaborators (mainly Feza Gursey) exploited internal
(dynamical) supersymmetries to construct a combined classification
scheme for mesons and baryons. Theoretical models they developed led to
existence of multiquark bound states which were recently grounded in experiments
(for example a0 (980) and f0(975) are of this type). More recently
he is completing a book on "Algebraic Approaches to Particle Theory"
with H.C. Tze of Institute for Advanced Study at Princeton and VPI. The book
deals with Relativistic Quark Models, Constraint Superalgebras, Supergroups
in Critical Dimensions and Lattices Generated by Discrete Jordan Algebras.
Another book on "Octonionic Structures in Physics" is
near its completion (with Carlos J. Moreno at Baruch and CUNY graduate school, and
H.C. Tze). Other problems they are currently looking at are:
- Conformal structures in D=4; Quaternion Analyticity.
- Euclidean Instantons from Chiral Superfields (N=2), Connections
to Statistical Mechanical Models, Yang-Mills Theories.
- Hyperbolic Extensions of Exceptional
Groups and Unified Field Theories
Uniform Treatment of Chiral Symmetry and SU(4) Symmetry of Nuclear
- Quaternionic and Octonionic Structures
in Physics: Possible Octonionic
Basis for Internal Symmetries in Nature."
- Multiquark states, especially recent
results on pentaquarks and associated
phenomenology based on split octonionic algebra approach.
Link to Prof. Sultan Catto's web page on the gursey server with
access to current publications in "Publications Archive."