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Explore the fascinating world of string theory and brane physics in this comprehensive lecture on the E11 program. Delve into the intriguing claim that the low energy effective action of strings and branes exhibits an E11 Kac-Moody symmetry. Discover how a non-linear realization of E11 reproduces the equations of motion in eleven-dimensional supergravity and leads to all maximal supergravity theories. Examine the implications of E11 symmetry beyond the supergravity approximation, suggesting its fundamental role in string and brane theory. Investigate the concept of extended space-time and the introduction of new coordinates, pondering their physical interpretation. Explore recent applications of Kac-Moody algebras in four-dimensional gravity and discuss open questions in this cutting-edge field of theoretical physics.
