String Theory and Math: Why This Marriage May Last

Abstract

String theory is changing the relationship between mathematics and physics. The central role is played by the phenomenon of duality, which is intrinsic to quantum physics and abundant in string theory.

Notes for the lecture at the Current Events special session of the 2015 Joint Mathematics Meetings in San Antonio. Article to appear in the Bulletin of the American Mathematical Society. 24 pages, 7 figures

References in corpus (4)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Knot invariants and higher representation theory
• Large N Duality, Mirror Symmetry, and a Q-deformed A-polynomial for Knots
• Instanton moduli spaces and $\mathcal{W}$-algebras