Vertex algebra constructions for (analytic) geometric Langlands in genus zero
Abstract We employ two-dimensional chiral algebra techniques to produce solutions of certain differential and integral equations which occur in the context of the Analytic Geometric Langlands Program. In particular, we build “Multiplication Kernels” K 3(x, x′, x′′) which intertwine the action of s l...
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| Format: | Article |
| Language: | English |
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2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)139 |
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| _version_ | 1841559889903616000 |
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| author | Davide Gaiotto |
| author_facet | Davide Gaiotto |
| author_sort | Davide Gaiotto |
| collection | DOAJ |
| description | Abstract We employ two-dimensional chiral algebra techniques to produce solutions of certain differential and integral equations which occur in the context of the Analytic Geometric Langlands Program. In particular, we build “Multiplication Kernels” K 3(x, x′, x′′) which intertwine the action of s l 2 $$ \mathfrak{s}{\mathfrak{l}}_2 $$ Gaudin Hamiltonians on three sets of variables. |
| format | Article |
| id | doaj-art-79709a057fb84ffaae586b503c2f1628 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-79709a057fb84ffaae586b503c2f16282025-01-05T12:06:38ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212810.1007/JHEP12(2024)139Vertex algebra constructions for (analytic) geometric Langlands in genus zeroDavide Gaiotto0Perimeter Institute for Theoretical PhysicsAbstract We employ two-dimensional chiral algebra techniques to produce solutions of certain differential and integral equations which occur in the context of the Analytic Geometric Langlands Program. In particular, we build “Multiplication Kernels” K 3(x, x′, x′′) which intertwine the action of s l 2 $$ \mathfrak{s}{\mathfrak{l}}_2 $$ Gaudin Hamiltonians on three sets of variables.https://doi.org/10.1007/JHEP12(2024)139Conformal and W SymmetryDuality in Gauge Field TheoriesGauge SymmetrySupersymmetric Gauge Theory |
| spellingShingle | Davide Gaiotto Vertex algebra constructions for (analytic) geometric Langlands in genus zero Journal of High Energy Physics Conformal and W Symmetry Duality in Gauge Field Theories Gauge Symmetry Supersymmetric Gauge Theory |
| title | Vertex algebra constructions for (analytic) geometric Langlands in genus zero |
| title_full | Vertex algebra constructions for (analytic) geometric Langlands in genus zero |
| title_fullStr | Vertex algebra constructions for (analytic) geometric Langlands in genus zero |
| title_full_unstemmed | Vertex algebra constructions for (analytic) geometric Langlands in genus zero |
| title_short | Vertex algebra constructions for (analytic) geometric Langlands in genus zero |
| title_sort | vertex algebra constructions for analytic geometric langlands in genus zero |
| topic | Conformal and W Symmetry Duality in Gauge Field Theories Gauge Symmetry Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP12(2024)139 |
| work_keys_str_mv | AT davidegaiotto vertexalgebraconstructionsforanalyticgeometriclanglandsingenuszero |