URL: https://physikseminar.desy.de/zeuthen/past_colloquia/colloquia_in_2011/february_16_2011/@@siteview
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Exact results in maximally supersymmetric gauge theory: Scattering amplitudes and integrability
Jan Plefka (Humboldt-Universität zu Berlin)
Seminar Room 3, 15:00h
Gauge theories represent the cornerstone of our theoretical understanding
of elementary particle physics, describing all non-gravitational,
fundamental forces of nature. At the same time this understanding is
often constrained to the weakly coupled sector of these theories, i.e.
situations were the particle interactions are weak and perturbative
treatments apply. I will review important progress towards a non-perturbative
solution of the most symmetric prototype of a four-dimensional gauge theory:
Maximally supersymmetric SU(N) gauge theory in the planar limit.
The essential new tools are a duality to a higher dimensional superstring
theory paired with fascinating hidden integrable structures, known as
AdS/CFT integrability. I will give a hopefully generally accessible
introduction to this area of research, introducing gauge theory and the
relation to strings moving in a higher dimensional curved space-time.
Finally, the relation to integrable spin chains solved by a Bethe ansatz, as
well as recent insights on hidden symmetries related to all loop
answers for scattering amplitudes in the theory, will be discussed.
