Title: New Integrable RG flows with Parafermions

Speaker: Changrim Ahn

Affiliation: Ewha Womans University, Korea（韩国梨花女子大学）

Time: 16:00-17:00, Wednesday, 6th November, 2024 (UTC+8, Beijing Time)

Venue: Room 1502, Shing-Tung Yau Center, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing

         （东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室）

Inviter: Ryo Suzuki（铃木了）

Abstract  

We consider irrelevant deformations of massless RSOS scattering theories by an infinite number of higher TTbar_{s+1} operators which introduce extra non-trivial CDD factors between left-movers and right-movers. It is shown that the resulting theories can be UV complete after bypassing typical Hagedorn-like singularities if the coefficients of the deformations are fine-tuned. In this way, we have discovered that only two new UV complete QFTs are associated with a M_p (p=3,4,...) minimal CFT based on the integrable structure of the RSOS scattering theory. One is the massless Z_{p-1} parafermionic sinh-Gordon models (PShG) with a self-dual coupling constant. This correspondence is confirmed by showing that the scale-dependent vacuum energies computed by the thermodynamic Bethe ansatz based on the S-matrices match those from the quantization conditions for the PShG models using the reflection amplitudes. The other UV QFT is reached from M_p by following the roaming trajectory of the Z_{p-1} parafermionic minimal series.

Speaker

Prof Changrim Ahn is professor at Ewha Womans University in Seoul, Republic of Korea. He is an expert in mathematical physics including integrable systems and conformal field theories.