News Item
C. Córdova et al. receive the Select label
28 October 2019
"Exceptional Chern-Simons-Matter dualities" by Clay Cordova, Po-Shen Hsin, Kantaro Ohmori has received the Select label. Warm congratulations to the author!
This well-structured paper fills the gap in literature regarding how the exceptional groups fit into topological quantum field theories for classical Lie groups. The authors first give a concise, helpful presentation of some mathematically rigorous facts about topological quantum field theories with exceptional gauge groups. Then, they developed a set of new families of Chern-Simons theories. This is done exploiting the conformal embedding technique for the corresponding chiral algebras, as well as with the aid of some results concerning more formal aspects of Kac-Moody algebras. With the new dualities for topological Chern-Simons theories, the authors proceed to formulate an array of conjectures regarding the Chern-Simons-matter dualities with scalar matter. Finally, they use them to determine candidate phase diagrams of time-reversal invariant G2 gauge theory coupled to either an adjoint fermion, or two fundamental fermions.