Conformal blocks related to the R-R states in the \hat c =1 SCFT

Abstract

We derive an explicit form of a family of four-point Neveu-Schwarz blocks with $\hat{c}=1,$ external weights ${\Delta }_i=1/8$ and arbitrary intermediate weight. The derivation is based on a set of identities obeyed in the free superscalar theory by correlation functions of fields satisfying Ramond condition with respect to the bosonic (dimension 1) and the fermionic (dimension 1/2) currents.

arXiv comment15 pages, no figures

References in corpus (3)

• Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector
• Recursion representation of the Neveu-Schwarz superconformal block
• Elliptic recurrence representation of the N=1 Neveu-Schwarz blocks

Cited by in corpus (5)

• Elliptic recurrence representation of the N=1 Neveu-Schwarz blocks
• Elliptic recurrence representation of the N=1 superconformal blocks in the Ramond sector
• Braiding properties of the N=1 super-conformal blocks (Ramond sector)
• Elliptic recursion for 4-point superconformal blocks and bootstrap in N=1 SLFT
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours