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2d Turbulence is a fascinating problem. Despite of its chaotic nature, its spectrum has very simple scalings in a certain range, which strongly suggests an underlying quantum conformal field theory (CFT) description. Polyakov has studied this problem, and proposed a non-unitary (21, 2) minimal model as the CFT candidate. After that more examples have been constructed in the literature. Inspired by the recent developments of quantum chaos, we revisit this problem and show that none of the minimal models can be used to describe the 2d turbulence due to the absence of quantum chaos. Instead, we propose a new non-unitary CFT as they candidate theory for 2d turbulence. In particular, this non-unitary CFT has quantum chaos and can reproduce the exact Kraichnan scaling E(k) ~ k^(-3). Moreover, it can be potentially dual to a 3d higher spin gravity. I will discuss these aspects in my talk.
Dr. Jun Nian studied mechanical engineering at Tsinghua University. He then switched to physics major at the University of Heidelberg in Germany, and received the Diplom degree in 2009. After that, he studied theoretical physics at SISSA in Italy and at Stony Brook University in the USA, and received the PhD degree from C.N. Yang Institute for Theoretical Physics in 2015. He was a postdoc at IHES in France and at the University of Michigan in the USA. In March 2021 he joined the International Centre for Theoretical Physics Asia Pacific (ICTP AP) in the University of Chinese Academy of Sciences as an assistant professor. He is broadly interested in theoretical physics and mathematical physics, including quantum field theories, gravity theories and condensed matter physics.
Tencent/Voov Meeting Link: https://meeting.tencent.com/dm/19EHuTa88isi
Meeting ID: 517 776 738 Password: 123456