Large-c superconformal torus blocks

Abstract

We study large-c SCFT2 on a torus specializing to one-point superblocks in the N=1 Neveu-Schwarz sector. Considering different contractions of the Neveu-Schwarz superalgebra related to the large central charge limit we explicitly calculate three superblocks, osp(1|2) global, light, and heavy-light superblocks, and show that they are related to each other. We formulate the osp(1|2) superCasimir eigenvalue equations and identify their particular solutions as the global superblocks. It is shown that the resulting differential equations are the Heun equations. We study exponentiated global superblocks arising at large conformal dimensions and demonstrate that in the leading approximation the osp(1|2) superblocks are equal to the non-supersymmetric sl(2) block.

21 pages, v2: minor corrections, references added, journal version

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Cited by in corpus (12)

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• Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
• Perturbative classical conformal blocks as Steiner trees on the hyperbolic disk
• Large $c$ Virasoro Blocks from Monodromy Method beyond Known Limits
• More on Wilson toroidal networks and torus blocks
• Four-point conformal blocks with three heavy background operators
• Semiclassical torus blocks in the t-channel
• Supersymmetric Galilean conformal blocks
• 3D $\mathcal{N}=1$ supergravity from Virasoro TQFT: Gravitational partition function and Out-of-time-order correlator
• c-Recursion for multi-point superconformal blocks. NS sector
• Generalized monodromy method in gauge/gravity duality
• Rényi entropy of single-character CFTs on the torus