Elliptic recurrence representation of the N=1 superconformal blocks in the Ramond sector

Abstract

The structure of the 4-point N=1 super-conformal blocks in the Ramond sector is analyzed. The elliptic recursion relations for these blocks are derived.

21 pages, no figures. An error in the description of the R-NS block of the Ramond field and all its consequences corrected

References in corpus (8)

• Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector
• N=1 SUSY Conformal Block Recursive Relations
• Liouville theory and uniformization of four-punctured sphere
• On the N=1 super Liouville four-point functions
• Elliptic recurrence representation of the N=1 Neveu-Schwarz blocks
• Higher Equations of Motion in N = 1 SUSY Liouville Field Theory
• A common limit of super Liouville theory and minimal models
• Conformal blocks related to the R-R states in the \hat c =1 SCFT

Cited by in corpus (19)

• (2,2) Superconformal Bootstrap in Two Dimensions
• Conformal blocks from Wilson lines with loop corrections
• Conformal bootstrap to Rényi entropy in 2D Liouville and super-Liouville CFTs
• Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks
• Superconformal blocks from Wilson lines with loop corrections
• Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory
• Braiding properties of the N=1 super-conformal blocks (Ramond sector)
• N=1 superconformal blocks with Ramond fields from AGT correspondence
• Elliptic recursion for 4-point superconformal blocks and bootstrap in N=1 SLFT
• Liouville's Imaginary Shadow
• Recursion relation for instanton counting for $SU(2)$ $\mathcal{N}=2$ SYM in NS limit of $\Omega$ background
• On the Renormalization Group Flow in Two Dimensional Superconformal Models
• Norms of logarithmic primaries of Virasoro algebra
• Recursive Representations of Arbitrary Virasoro Conformal Blocks
• Supersymmetric Galilean conformal blocks
• Conformal blocks of Chiral fields in N=2 SUSY CFT and Affine Laumon Spaces
• Recurrence relations for toric N=1 superconformal blocks
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• Differential equations from null vectors of the Ramond algebra