A note on rank 3 2 $$ \frac{3}{2} $$ Liouville irregular block
Abstrak
Abstract This paper focuses on a conformal block with rank 3 2 $$ \frac{3}{2} $$ irregular singularity which corresponds to the prepotential of the H 1 $$ {\mathcal{H}}_1 $$ Argyres-Douglas theory in Ω background. We derive this irregular conformal block using the generalized holomorphic anomaly recursion relation. This results in an expression which is a power series in Ω-background parameters ϵ 1,2 and exact in coupling. We have verified that in the small coupling regime our result is consistent with previously known expressions. Furthermore we derive the Deformed Seiberg-Witten curve which provides an alternative tool to explore the above mentioned theory in Nekrasov-Shatashvili limit of Ω-background. We checked that the results are in complete agreement with the holomorphic anomaly approach.
Topik & Kata Kunci
Penulis (2)
Rubik Poghossian
Hasmik Poghosyan
Akses Cepat
- Tahun Terbit
- 2025
- Sumber Database
- DOAJ
- DOI
- 10.1007/JHEP09(2025)138
- Akses
- Open Access ✓