Semi-classical Virasoro blocks: proof of exponentiation
Abstract Virasoro conformal blocks are expected to exponentiate in the limit of large central charge c and large operator dimensions hi, with the ratios hi/c held fixed. We prove this by employing the oscillator formulation of the Virasoro algebra and its representations. The techniques developed ar...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2020)109 |
| _version_ | 1826855559322664960 |
|---|---|
| author | Mert Beşken Shouvik Datta Per Kraus |
| author_facet | Mert Beşken Shouvik Datta Per Kraus |
| author_sort | Mert Beşken |
| collection | DOAJ |
| description | Abstract Virasoro conformal blocks are expected to exponentiate in the limit of large central charge c and large operator dimensions hi, with the ratios hi/c held fixed. We prove this by employing the oscillator formulation of the Virasoro algebra and its representations. The techniques developed are then used to provide new derivations of some standard results on conformal blocks. |
| first_indexed | 2024-12-17T20:39:16Z |
| format | Article |
| id | doaj.art-8362974cd5a445d99b86347eba9dd7d7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-02-16T18:05:35Z |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8362974cd5a445d99b86347eba9dd7d72025-01-26T12:11:29ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020111610.1007/JHEP01(2020)109Semi-classical Virasoro blocks: proof of exponentiationMert Beşken0Shouvik Datta1Per Kraus2Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics & A stronomy, University of California Los AngelesMani L. Bhaumik Institute for Theoretical Physics, Department of Physics & A stronomy, University of California Los AngelesMani L. Bhaumik Institute for Theoretical Physics, Department of Physics & A stronomy, University of California Los AngelesAbstract Virasoro conformal blocks are expected to exponentiate in the limit of large central charge c and large operator dimensions hi, with the ratios hi/c held fixed. We prove this by employing the oscillator formulation of the Virasoro algebra and its representations. The techniques developed are then used to provide new derivations of some standard results on conformal blocks.https://doi.org/10.1007/JHEP01(2020)109Conformal Field TheoryConformal and W SymmetryField Theories in Lower Dimensions |
| spellingShingle | Mert Beşken Shouvik Datta Per Kraus Semi-classical Virasoro blocks: proof of exponentiation Journal of High Energy Physics Conformal Field Theory Conformal and W Symmetry Field Theories in Lower Dimensions |
| title | Semi-classical Virasoro blocks: proof of exponentiation |
| title_full | Semi-classical Virasoro blocks: proof of exponentiation |
| title_fullStr | Semi-classical Virasoro blocks: proof of exponentiation |
| title_full_unstemmed | Semi-classical Virasoro blocks: proof of exponentiation |
| title_short | Semi-classical Virasoro blocks: proof of exponentiation |
| title_sort | semi classical virasoro blocks proof of exponentiation |
| topic | Conformal Field Theory Conformal and W Symmetry Field Theories in Lower Dimensions |
| url | https://doi.org/10.1007/JHEP01(2020)109 |
| work_keys_str_mv | AT mertbesken semiclassicalvirasoroblocksproofofexponentiation AT shouvikdatta semiclassicalvirasoroblocksproofofexponentiation AT perkraus semiclassicalvirasoroblocksproofofexponentiation |