English

Recursive Representations of Arbitrary Virasoro Conformal Blocks

High Energy Physics - Theory 2018-12-03 v4

Abstract

We derive recursive representations in the internal weights of N-point Virasoro conformal blocks in the sphere linear channel and the torus necklace channel, and recursive representations in the central charge of arbitrary Virasoro conformal blocks on the sphere, the torus, and higher genus Riemann surfaces in the plumbing frame.

Cite

@article{arxiv.1703.09805,
  title  = {Recursive Representations of Arbitrary Virasoro Conformal Blocks},
  author = {Minjae Cho and Scott Collier and Xi Yin},
  journal= {arXiv preprint arXiv:1703.09805},
  year   = {2018}
}

Comments

39 pages, 8 figures, v2: comments on references added, reference added, typos corrected, v3: comments on the relation between the plumbing and the Schottky parameters added, v4: typos corrected

R2 v1 2026-06-22T19:00:04.523Z