Jul 4 – 11, 2018
Asia/Seoul timezone

Modular Constraints with (Super-)Virasoro Algebras

Jul 6, 2018, 11:00 AM
205 (COEX, Seoul)


COEX, Seoul

Parallel Formal Theory Development Formal Theory Development


Dr Jinbeom Bae (Korea Institute for Advanced Study)


In this talk, we will discuss how the modular property constraints partition function of two-dimensional conformal field theories(CFT). We apply the semi-definite programming to the modular constraints with assuming the presence of holomorphic/anti-holomorphic currents and twist gap in spectrum. The level-one WZW models with Degline's exceptional series, cousins of extremal CFTs and novel c=8 and c=16 CFTs without Kac-Moody symmetry are reailzed on the numerical boundary. Strikingly, it turns out that the modular constraints determine the degeneracies of primary states, also the partition function of theories on the numerical boundary. We extend the above analysis by imposing W-algebra or N=1, N=2 super-Virasoro algebra.

Primary author

Dr Jinbeom Bae (Korea Institute for Advanced Study)

Presentation materials