Non-Lorentzian Kač-Moody algebras
Abstract We investigate two dimensional (2d) quantum field theories which exhibit Non-Lorentzian Kač-Moody (NLKM) algebras as their underlying symmetry. Our investigations encompass both 2d Galilean (speed of light c → ∞) and Carrollian (c → 0) CFTs with additional number of infinite non-Abelian cur...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2023)041 |
| _version_ | 1797795839768264704 |
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| author | Arjun Bagchi Ritankar Chatterjee Rishabh Kaushik Amartya Saha Debmalya Sarkar |
| author_facet | Arjun Bagchi Ritankar Chatterjee Rishabh Kaushik Amartya Saha Debmalya Sarkar |
| author_sort | Arjun Bagchi |
| collection | DOAJ |
| description | Abstract We investigate two dimensional (2d) quantum field theories which exhibit Non-Lorentzian Kač-Moody (NLKM) algebras as their underlying symmetry. Our investigations encompass both 2d Galilean (speed of light c → ∞) and Carrollian (c → 0) CFTs with additional number of infinite non-Abelian currents, stemming from an isomorphism between the two algebras. We alternate between an intrinsic and a limiting analysis. Our NLKM algebra is constructed first through a contraction and then derived from an intrinsically Carrollian perspective. We then go on to use the symmetries to derive a Non-Lorentzian (NL) Sugawara construction and ultimately write down the NL equivalent of the Knizhnik Zamolodchikov equations. All of these are also derived from contractions, thus providing a robust cross-check of our analyses. |
| first_indexed | 2024-03-13T03:25:06Z |
| format | Article |
| id | doaj.art-4a224400ed7b45aebbe088c882ccd019 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:06Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4a224400ed7b45aebbe088c882ccd0192023-06-25T11:06:57ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023315210.1007/JHEP03(2023)041Non-Lorentzian Kač-Moody algebrasArjun Bagchi0Ritankar Chatterjee1Rishabh Kaushik2Amartya Saha3Debmalya Sarkar4Indian Institute of Technology KanpurIndian Institute of Technology KanpurIndian Institute of Technology KanpurIndian Institute of Technology KanpurIndian Institute of Technology KanpurAbstract We investigate two dimensional (2d) quantum field theories which exhibit Non-Lorentzian Kač-Moody (NLKM) algebras as their underlying symmetry. Our investigations encompass both 2d Galilean (speed of light c → ∞) and Carrollian (c → 0) CFTs with additional number of infinite non-Abelian currents, stemming from an isomorphism between the two algebras. We alternate between an intrinsic and a limiting analysis. Our NLKM algebra is constructed first through a contraction and then derived from an intrinsically Carrollian perspective. We then go on to use the symmetries to derive a Non-Lorentzian (NL) Sugawara construction and ultimately write down the NL equivalent of the Knizhnik Zamolodchikov equations. All of these are also derived from contractions, thus providing a robust cross-check of our analyses.https://doi.org/10.1007/JHEP03(2023)041Conformal and W SymmetryField Theories in Lower Dimensions |
| spellingShingle | Arjun Bagchi Ritankar Chatterjee Rishabh Kaushik Amartya Saha Debmalya Sarkar Non-Lorentzian Kač-Moody algebras Journal of High Energy Physics Conformal and W Symmetry Field Theories in Lower Dimensions |
| title | Non-Lorentzian Kač-Moody algebras |
| title_full | Non-Lorentzian Kač-Moody algebras |
| title_fullStr | Non-Lorentzian Kač-Moody algebras |
| title_full_unstemmed | Non-Lorentzian Kač-Moody algebras |
| title_short | Non-Lorentzian Kač-Moody algebras |
| title_sort | non lorentzian kac moody algebras |
| topic | Conformal and W Symmetry Field Theories in Lower Dimensions |
| url | https://doi.org/10.1007/JHEP03(2023)041 |
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