University of Connecticut

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Particle, Astrophysics, and Nuclear Physics Seminar

Tuesday, April 12, 2016
3:30pm – 5:00pm

Storrs Campus
Gant Science Complex, Physics, Room PB-121

Andrei Smilga, Nantes

“Renormalizing the Non-Renormalizable”

We present a pedagogical review of our current understanding of the ultraviolet structure of N = (1,1) 6D supersymmetric Yang-Mills theory and of N = 8 4D supergravity. These theories are not renormalizable, they involve power ultraviolet Divergences and, in all probability, an infinite set of higher-dimensional counter terms that contribute to on-mass-shell scattering amplitudes. A specific feature of supersymmetric theories (especially, of extended supersymmetric theories) is that these counter terms may not be invariant off shell under the full set of supersymmetry transformations. The lowest-dimensional nontrivial counter term is supersymmetric on shell. Still higher counter terms may lose even the on-shell invariance. On the other hand, the full effective Lagrangian, generating the amplitudes and representing an infinite sum of counter terms, still enjoys the complete symmetry of original theory. We also discuss simple supersymmetric quantum-mechanical models that exhibit the same behavior.

PLEASE NOTE SPECIAL TIME AND DAY OF THIS PAN SEMINAR.

Contact:

Dawn Rawlinson, 486-4916, dawn.rawlinson@uconn.edu

Physics Department (primary)

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