Recurrence relations for toric N=1 superconformal blocks

Leszek Hadasz; Paulina Suchanek; Zbigniew Jaskolski

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Recurrence relations for toric N=1 superconformal blocks

Leszek Hadasz, Zbigniew Jaskolski, Paulina Suchanek

High Energy Physics - Theory · Submitted 24 Jul 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The recurrence relations for blocks coefficients are derived by calculating their residues and large $\Delta$ asymptotics.

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General 1-point toric blocks in all sectors of N=1 superconformal field theories are analyzed. The recurrence relations for blocks coefficients are derived by calculating their residues and large $\Delta$ asymptotics.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	General 1-point toric blocks in all sectors of N=1 superconformal field theories are analyzed.	contribution 0.97	0.85	0.12	asserted 0.99
s1	The recurrence relations for blocks coefficients are derived by calculating their residues and large $\Delta$ asymptotics.	method 0.73	0.93	0.55	asserted 1.00

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Original abstract

General 1-point toric blocks in all sectors of N=1 superconformal field theories are analyzed. The recurrence relations for blocks coefficients are derived by calculating their residues and large $\Delta$ asymptotics.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Super Liouville theory on the torus: bootstrap and the super Virasoro minimal string
hep-th 2026-10 conditional novelty 7.0 of 10

The torus one-point amplitudes of the four super Virasoro minimal strings are computed from the RNS worldsheet and match random matrix predictions.
Recursive Representations of Arbitrary Virasoro Conformal Blocks
hep-th 2017-03 accept novelty 6.0 of 10

The authors derive recursion relations in internal weight and in central charge that evaluate arbitrary Virasoro conformal blocks on Riemann surfaces of any genus in a plumbing frame.

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7 arXiv papers cite this in 9 sentences

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Compares with it 1 paper

We show that the singularities are single poles in the linear coefficients, which is similar to the single pole structure in the chiral conformal block decomposition [ref] .

The linear property of genus-$g$, $n$-point, $b$-boundary, $c$-crosscap correlation functions in two-dimensional conformal field theory · The single pole structure in the linear coefficients · 0.96

Cites it as background 2 papers

See [ref] for extended discussion of NS superblocks.]

Large-c superconformal torus blocks · NS superalgebra and superblocks · 0.98
Related remarks may be found in the study of Zamolodchikov recursion for superconformal models, see [ref] and the dissertation at the following http://www.fais.uj.edu.pl/documents/41628/d4817b20-2a2e-48d8-b9f6-40876b4a296flink.

Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_{f}=4$ flavours · Introduction and results · 0.93

What it cites · 35 sentences without a confident label

Uses the method or tool of 1 paper

The method to derive the recursion relations is essentially the same as in the Virasoro algebra case [ref] .

Recursive representation of the torus 1-point conformal block · $NS$ and $NS$ sectors · 0.97

Cites as background 4 papers

A recursion representation of 4-point spheric blocks in the N=1 superconformal field theories was first derived in the Neveu-Schwarz sector [ref] .

On the N=1 super Liouville four-point functions · Introduction · 0.90
A recursion representation of 4-point spheric blocks in the N=1 superconformal field theories was first derived in the Neveu-Schwarz sector [ref] .

Elliptic recurrence representation of the N=1 Neveu-Schwarz blocks · Introduction · 0.90
A recursion representation of 4-point spheric blocks in the N=1 superconformal field theories was first derived in the Neveu-Schwarz sector [ref] .

Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector · Introduction · 0.90

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