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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2401.14662 |
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| _version_ | 1866911956407943168 |
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| author | Hamachika, Ryo Nakanishi, Tomoki Nishinaka, Takahiro Tanigawa, Shou |
| author_facet | Hamachika, Ryo Nakanishi, Tomoki Nishinaka, Takahiro Tanigawa, Shou |
| contents | We conjecture a set of differential equations that characterizes the Liouville irregular states of half-integer ranks, which extends the generalized AGT correspondence to all the $(A_1,A_\text{even})$ and $(A_1,D_\text{odd})$ types Argyres-Douglas theories. For lower half-integer ranks, our conjecture is verified by deriving it as a suitable limit of a similar set of differential equations for integer ranks. This limit is interpreted as the 2D counterpart of a 4D RG-flow from $(A_1,D_{2n})$ to $(A_1,D_{2n-1})$. For rank $3/2$, we solve the conjectured differential equations and find a power series expression for the irregular state $|I^{(3/2)}\rangle$. For rank $5/2$, our conjecture is consistent with the differential equations recently discovered by H. Poghosyan and R. Poghossian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14662 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Liouville Irregular States of Half-Integer Ranks Hamachika, Ryo Nakanishi, Tomoki Nishinaka, Takahiro Tanigawa, Shou High Energy Physics - Theory We conjecture a set of differential equations that characterizes the Liouville irregular states of half-integer ranks, which extends the generalized AGT correspondence to all the $(A_1,A_\text{even})$ and $(A_1,D_\text{odd})$ types Argyres-Douglas theories. For lower half-integer ranks, our conjecture is verified by deriving it as a suitable limit of a similar set of differential equations for integer ranks. This limit is interpreted as the 2D counterpart of a 4D RG-flow from $(A_1,D_{2n})$ to $(A_1,D_{2n-1})$. For rank $3/2$, we solve the conjectured differential equations and find a power series expression for the irregular state $|I^{(3/2)}\rangle$. For rank $5/2$, our conjecture is consistent with the differential equations recently discovered by H. Poghosyan and R. Poghossian. |
| title | Liouville Irregular States of Half-Integer Ranks |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.14662 |