Accessory parameters in confluent Heun equations and classical irregular conformal blocks

Jan 14, 2021
20 pages
Published in:
  • Lett.Math.Phys. 111 (2021) 6, 137
  • Published: Nov 8, 2021
e-Print:

Citations per year

20212022202320248367
Abstract: (Springer)
Classical Virasoro conformal blocks are believed to be directly related to accessory parameters of Floquet type in the Heun equation and some of its confluent versions. We extend this relation to another class of accessory parameter functions that are defined by inverting all-order Bohr–Sommerfeld periods for confluent and biconfluent Heun equation. The relevant conformal blocks involve Nagoya irregular vertex operators of rank 1 and 2 and conjecturally correspond to partition functions of a 4D N=2{\mathscr {N}}=2, Nf=3N_f=3 gauge theory at strong coupling and an Argyres–Douglas theory.
Note:
  • 20 pages, 1 figure
  • Conformal field theory
  • Accessory parameters
  • Heun equation
  • Heun equation
  • conformal block
  • operator: vertex
  • algebra: Virasoro
  • gauge field theory: supersymmetry
  • partition function
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