Nonperturbative tests of duality cascades in three dimensional supersymmetric gauge theories
 Date
 December 14 (Mon) at 16:00  18:10, 2020 (JST)
 Speaker

 Dr. Naotaka Kubo (Postdoctoral Researcher, Yukawa Institute for Theoretical Physics, Kyoto University)
 Venue
 via Zoom
 Language
 English
M2brane is an interesting object in Mtheory and string theory. A threedimensional 𝒩=6 super conformal Chern Simons theory with gauge group U(𝑁1)×𝑈(𝑁2), called ABJ theory, describes the low energy behavior of M2brane On the one hand, it has been considered that when 𝑁1−𝑁2 is larger than the absolute value of Chern Simons level, the supersymmetry is broken. On the other hand, it was predicted that an interesting phenomenon called duality cascade occurs, and supersymmetry is not broken in some cases.
Motivated by this situation, we performed nonperturbative tests by focusing on the partitionfunction on 𝑆3. The result strongly suggests that the duality cascade indeed occurs. We also proposed that the duality cascade occurs in theories with more general gauge groups and we performed nonperturbative tests in the same way. I will review and explain our physical prediction in the first half of my talk. In the second half of my talk , I will explain the nonperturbative tests . This part is mathematical because the partition function reduces to a matrix model by using the supersymmetric localization technique.
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