On the 5-point conformal block with a level 2 degenerate field insertion and its AGT dual
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| Publicat a: | Journal of High Energy Physics vol. 2025, no. 10 (Oct 2025), p. 6 |
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Springer Nature B.V.
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| Accés en línia: | Citation/Abstract Full Text - PDF |
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| 022 | |a 1029-8479 | ||
| 024 | 7 | |a 10.1007/JHEP10(2025)006 |2 doi | |
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| 045 | 2 | |b d20251001 |b d20251031 | |
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| 100 | 1 | |a Poghosyan, Hasmik |u Yerevan Physics Institute, Yerevan, Armenia (GRID:grid.48507.3e) (ISNI:0000 0004 0482 7128) | |
| 245 | 1 | |a On the 5-point conformal block with a level 2 degenerate field insertion and its AGT dual | |
| 260 | |b Springer Nature B.V. |c Oct 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a In this paper, we develop and explore recursive methods to investigate the 2d CFT 5-point conformal block with a level 2 degenerate insertion, as well as its AGT dual, by solving the BPZ differential equation. First, we represent the solution of the differential equation as a double series expansion. On the 2-node quiver gauge theory side, this corresponds to the instanton series. We then demonstrate that the expansion coefficients are uniquely determined by a recursion relation. Inspired by the approach initiated in a paper by D. Gaiotto and J. Teschner, we partially resum this series and show that the result can be elegantly expressed in terms of a single hypergeometric function and its derivative. This new representation makes it straightforward to relate different asymptotic regions. As a by-product, this provides us a simple derivation of fusion and braiding coefficients.We describe the subtle procedure of merging the degenerate field with the outgoing state, thereby obtaining a generic 4-point block, which on the gauge theory side corresponds to the partition function of SU(2) gauge theory with four massive hypermultiplets in the Ω-background.Finally, we performed several nontrivial checks, which confirm our results. | |
| 653 | |a Hypergeometric functions | ||
| 653 | |a Series expansion | ||
| 653 | |a Instantons | ||
| 653 | |a Differential equations | ||
| 653 | |a Gauge theory | ||
| 653 | |a Braiding | ||
| 653 | |a Partitions (mathematics) | ||
| 653 | |a Insertion | ||
| 653 | |a Recursive methods | ||
| 700 | 1 | |a Poghossian, Rubik |u Yerevan Physics Institute, Yerevan, Armenia (GRID:grid.48507.3e) (ISNI:0000 0004 0482 7128) | |
| 773 | 0 | |t Journal of High Energy Physics |g vol. 2025, no. 10 (Oct 2025), p. 6 | |
| 786 | 0 | |d ProQuest |t Advanced Technologies & Aerospace Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3256187093/abstract/embedded/J7RWLIQ9I3C9JK51?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3256187093/fulltextPDF/embedded/J7RWLIQ9I3C9JK51?source=fedsrch |