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Seminar
Speaker
Umesh Vijayashanker (University of the Witwatersrand, Johannesburg, South Africa )
Date & Time
Wed, 09 August 2017, 15:30 to 16:30
Venue
Emmy Noether Seminar Room, ICTS Campus, Bangalore
Resources
Abstract

It is well known that Chern-Simons-matter theories with fundamental matter (with and without supersymmetry) can be solved in the large-N limit. These theories exhibit a host of interesting phenomena such as a bose-fermi duality, interesting anyonic physics etc. We focus on the N = 2 supersymmetric Chern-Simons-matter theory with a single fundamental matter multiplet. Beginning with the observation that the on-shell 6 point function is not renormalised except in channels where the anyonic phase is non-zero, we conjecture that this is true for an arbitrary on-shell 2n-point function. When combined with BCFW recursion, this allows us to relate an arbitrary on-shell 2n-point function to on-shell 2n-2 point functions, and so on, thereby enabling us to establish the duality for an arbitrary on-shell 2n-point function. We conclude with some comments about future directions.