Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1D
报告人:
Chao-Ming Jian
UCSB
报告时间:
2018-07-12 14:00
报告地点:
Conference Hall 322, Science Building, Tsinghua University
主办单位:
高等研究院
简介:
The lattice construction of Euclidean path integrals has been a successful approach of deriving 2+1D field theory dualities with a U(1) gauge field. In this work, we generalize this lattice construction to dualities with non-Abelian gauge fields. We construct the Euclidean spacetime lattice path integral for a theory with strongly-interacting SO(3) vector bosons and Majorana fermions coupled to an SO(3) gauge field and derive an exact duality between this theory and the theory of a free Majorana fermion on the spacetime lattice. We argue that this lattice duality implies the desired infrared duality between the field theory with an SO(3) vector critical boson coupled to an SO(3)1 Chern-Simons gauge theory, and a free massless Majorana fermion in 2+1D. We also generalize the lattice construction of dualities to models with O(3) gauge fields.
