2014Basic SciencesMathematical Sciences (including Pure Mathematics)
Edward Witten photo

Edward Witten

  • U.S.A. / August 26, 1951
  • Theoretical Physicist
  • Professor, Institute for Advanced Study

Outstanding Contributions to the Development of Mathematical Sciences through the Exploration of Superstring Theory

Dr. Witten has made significant contributions to theoretical physics for more than 30 years as a leader in the dramatic evolution of superstring theory. Moreover, by applying his physical intuition and mathematical skills, he has advanced mathematics, and prompted the cutting-edge research of many mathematicians. His achievements are both unique and outstanding.


Brief Biography

Born in Baltimore, Maryland, U.S.A.
Ph.D. in Physics, Princeton University
Postdoctoral Fellow, Harvard University
Junior Fellow, Society of Fellows, Harvard University
Professor, Princeton University
Professor, Institute for Advanced Study
Charles Simonyi Professor, Institute for Advanced Study

Selected Awards and Honors

Dirac Medal, Abdus Salam International Centre for Theoretical Physics
Fields Medal
Dannie Heineman Prize
National Medal of Science
Crafoord Prize
Lorentz Medal
Breakthrough Prize in Fundamental Physics
American Academy of Arts and Sciences, American Mathematical Society, American Philosophical Society, American Physical Society, French Académie des Sciences, National Academy of Sciences, The Royal Society

Selected Publications

Anomalous Cross Section for Photon-Photon Scattering in Gauge Theories, Nuclear Physics B 120: 189-202, 1977.
Gravitational Anomalies (L. Alvarez-Gaume and E. Witten), Nuclear Physics B 234: 269-330, 1984.
Vacuum Configurations for Superstrings (P. Candelas et al.), Nuclear Physics B 258: 46-74, 1985.
Quantum Field Theory and the Jones Polynomial, Communications in Mathematical Physics 121: 351-399, 1989.
Two-Dimensional Gravity and Intersection Theory on Moduli Space, in H. B. Lawson, Jr. and S.-T. Yau (eds.), Surveys in Differential Geometry 1: 243-310, 1991.
A Strong Coupling Test of S-Duality (C. Vafa and E. Witten), Nuclear Physics B 431: 3-77, 1994.
Electric-Magnetic Duality, Monopole Condensation, and Confinement in N=2 Supersymmetric Yang-Mills Theory (N. Seiberg and E. Witten), Nuclear Physics B 426: 19-52, 1994.
Monopoles and Four-Manifolds, Mathematical Research Letters 1: 769-796, 1994.
String Theory Dynamics in Various Dimensions, Nuclear Physics B 443: 85-126, 1995.
Electric-Magnetic Duality and the Geometric Langlands Program (A. Kapustin and E. Witten), Communications in Number Theory and Physics 1: 1-236, 2007.

Outstanding Contributions to the Development of Mathematical Sciences through the Exploration of Superstring Theory

A look into the progress of quantum field theory and string theory reveals a spectacular drama featuring a large cast of talented scientists. Beginning with the problem of reconciling the theory of general relativity with quantum mechanics, they dream of a theory that would unify the entire spectrum of mechanics, from the theory of elementary particles to macroscopic cosmology. Highlighting this story are the discovery of new elementary particles and the pursuit of innovative mechanical theories. In this continuing drama—particularly over the past three decades—Dr. Edward Witten has assumed a leading role.

In the expansion of the “first superstring revolution,” the great advance in superstring theory started in 1984, Dr. Witten’s geometric analysis of anomalies in gauge fields and gravity fields theory served as an important motivation. Meanwhile, his study of the compactification of strings illuminated a way to the mathematical elucidation of the relationship between superstring theory and the standard model of particle physics. In 1995, Dr. Witten proposed M-theory, which united all of the five different 10-dimensional superstring theories into one theory. This discovery ignited the “second superstring revolution,” in which he played the leading role.

Dr. Witten has made significant contributions not only to the theoretical physics but also to the pure mathematics. His penetrating physical intuition and advanced mathematical skills have prompted many mathematicians to tackle new research topics. He has inspired new research themes in geometry, by the quantum theoretical interpretation of the Morse theory in differential geometry and his use of the Calabi-Yau manifolds in the string compactification. He has shed light on the relation between the Chern–Simons gauge theory and the Jones polynomials in the knot theory and provided new perspectives on both. His other important contributions include the low energy solution to supersymmetric gauge theory and its applications to topology (the Seiberg–Witten theory). Furthermore, he has provided theoretical evidences for the gauge theory duality (the Vafa–Witten theory) and clarified its relationship to the geometric Langlands correspondance, and his formulation of the Gromov–Witten invariant and study of mirror symmetry opened new lines of research. Today, each of these achievements is highly regarded among mathematicians.

In the 1970s, Dr. Freeman Dyson lamented the deep alienation between theoretical physicists and mathematicians. After 1980, however, it was recognized that a renaissance had begun in the exchange of knowledge between pure mathematics and theoretical physics. Dr. Witten has played a remarkable role in sparking that renaissance.

For these reasons, the Inamori Foundation is pleased to present the 2014 Kyoto Prize in Basic Sciences to Dr. Edward Witten.


Abstract of the Lecture

Adventures in Physics and Math

I was interested in astronomy from a very young age. This was not so unusual since I was growing up in the 1950’s and everyone was interested in space. I had a small telescope and a highlight was to see the rings of Saturn–though in hindsight I wish I had developed a little more skill at finding Saturn and the few other objects that should have been easy to find through my telescope. At the age of about 11, I became very interested in math and this was a passion for a few years.

Still, the path by which I decided to become a scientist involved a few zigzags. When (at the age of 21) I decided to aim for theoretical physics rather than math, this was on the basis of very little understanding of either field. I was fascinated by the elementary particles. Particle accelerators had been producing fantastic surprises at an amazing pace for a couple of decades, and one of the high water marks actually occurred early in my second year of graduate school with the discovery of the J/psi particle (announced on November 11, 1974).

If particle accelerators had continued that pace of surprising discoveries, I probably would have aimed to become an expert at interpreting what they were producing. Matters, however, took a turn that few if any people in the field at the time anticipated after 1974, accelerators started confirming the Standard Model of particle physics, which has held up far better than its inventors could possibly have anticipated. Instead, new opportunities emerged, in understanding the Standard Model better, trying to go beyond it in String Theory, and relating the methods of modern theoretical physics to modern concepts in mathematics. These new opportunities became the main theme of my career.

One thing I have learned in this journey is that one cannot approach research with too many preconceptions about what one wants to do. One has to be open to opportunities where they arise. Sometimes a given problem is just too difficult at a given point in time. Sometimes the question one is asking is not really the right one. Life can be full of surprises. To do one’s best in research, one must try to remain open to new ideas and questions. This can be easier said than done, especially as we get older, but we have to try to maintain this openness.

[Read More]
Full Text(PDF)


String Theory and Mathematical Sciences in the 21st Century

Wednesday, November 12, 2014, 13:00-17:30
Kyoto International Conference Center
Tohru Eguchi (Professor, Rikkyo University) Motoko Kotani (Professor, Tohoku University)
Motoko Kotani
Organized by Inamori Foundation and Kyoto University
Supported by Kyoto Prefectural Government, Kyoto City Government, NHK
With the cooperation of The Mathematical Society of Japan and The Physical Society of Japan


Welcome Address Nagahiro Minato (Executive Vice-President, Kyoto University)
Opening Address and Introduction of Laureate Tohru Eguchi
Laureate’s Lecture Edward Witten (the Laureate in Basic Sciences)
“Knots and Quantum Physics”
Lecture Hiraku Nakajima (Professor, Kyoto University)
“4-Dimensional Gauge Theory and Representation Theory”
Lecture Yuji Tachikawa (Associate Professor, the University of Tokyo)
“Twenty Years of the Seiberg-Witten Theory”
Lecture Tadashi Takayanagi (Professor, Kyoto University)
“AdS/CFT Correspondence and Quantum Entanglement”
Lecture Kenji Fukaya (Permanent Member, State University of New York, Stony Brook)
“Is Open String Theory on Cotangent Bundle a Perturbative Chern-Simons Theory?”
Closing Address Motoko Kotani