Carving Out the K3 CFT


Shao, S. (2016). Carving Out the K3 CFT. Perimeter Institute. https://pirsa.org/16030082


Shao, Shu-Heng. Carving Out the K3 CFT. Perimeter Institute, Mar. 01, 2016, https://pirsa.org/16030082


          @misc{ pirsa_PIRSA:16030082,
            doi = {10.48660/16030082},
            url = {https://pirsa.org/16030082},
            author = {Shao, Shu-Heng},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Carving Out the K3 CFT},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {mar},
            note = {PIRSA:16030082 see, \url{https://pirsa.org}}

Shu-Heng Shao Stony Brook University


We study two-dimensional (4, 4) superconformal field theories of central charge c = 6, corresponding to nonlinear sigma models on K3 surfaces, using the superconformal bootstrap method. This is made possible through a surprising relation between the BPS N = 4 superconformal blocks of c = 6 and bosonic Virasoro conformal blocks of c = 28, and an exact result on the moduli dependence of a certain integrated BPS 4-point function. Nontrivial bounds on the non-BPS spectrum are obtained in the K3 CFT as functions of the CFT moduli, that interpolate between the free orbifold points and singular CFT points. We observe directly from the CFT perspective the signature of a continuous spectrum above a gap at the singular moduli, and find numerically an upper bound on this gap that is saturated by the A1 N = 4 cigar CFT.