Recursive representation of the torus 1-point conformal block

By L. Hadasz, Z. Jaskólski, Paulina Suchanek. 2009

133 citations recorded by the source corpus.

The recursive relation for the 1-point conformal block on a torus is derived and used to prove the identities between conformal blocks recently conjectured by Poghossian in [1]. As an illustration of the efficiency of the recurrence method the modular invariance of the 1-point Liouville correlation function is numerically analyzed.

Subfields: Applied Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/321a15615c145bce8b1079a4e2259e18d45c5c19

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In Applied Mathematics

1. Per Kraus
2. K. Maruyoshi
3. A. Maloney
4. Eric Perlmutter
5. A. Litvinov
6. V. Fateev
7. A. Tanzini
8. M. Gaberdiel

In Discrete Mathematics and Combinatorics

1. Per Kraus
2. K. Maruyoshi
3. A. Maloney
4. A. Litvinov
5. V. Fateev

In Geometry and Topology

1. Eric Perlmutter
2. A. Maloney
3. G. Bonelli
4. A. Tanzini
5. Per Kraus
6. K. Maruyoshi
7. A. Litvinov
8. V. Fateev

Citations in the corpus

• Wild quiver gauge theories (2011, background): “5) was proved in [46] by using recursion relations [47, 48, 49, 50].”
• On Combinatorial Expansion of the Conformal Blocks Arising from AGT Conjecture (2010, methodology): “Recently, the recursive procedure of [6] was generalized to the case of one-point conformal block on a torus in [7].”
• Virasoro conformal blocks in closed form (2015, background): “7-8 of [24].”
• A cardy formula for three-point coefficients or how the black hole got its spots (2016, methodology): “dimensions (H;H) and ( ;) and the central charge c. We will restrict our attention to the case c>1. The torus block FH ;c (q) can be computed algorithmically using the Virasoro algebra (see e.g. [10] for a nice review). For example, one can compute the coecients in the qexpansion explicitly: FH ;”
• On AGT conjecture (2009, background): “idered in [11]. As it follows from the results of the paper [12] the former is the particular case of it. Reccursion formula (1.22) derived in this paper was considered recently in [13] and proved in [14]. – 2 – where ∆m,n is the conformal dimension of degenerate field (1.4). To see this let us consi”