Irrelevant deformations of chiral bosons
Abstract We study T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ deformations of chiral bosons using the formalism due to Sen. For arbitrary numbers of left- and right-chiral bosons, we find that the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed Lagrangian can be computed in closed form, giving...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2021)028 |
| _version_ | 1818919455448629248 |
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| author | Subhroneel Chakrabarti Divyanshu Gupta Arkajyoti Manna Madhusudhan Raman |
| author_facet | Subhroneel Chakrabarti Divyanshu Gupta Arkajyoti Manna Madhusudhan Raman |
| author_sort | Subhroneel Chakrabarti |
| collection | DOAJ |
| description | Abstract We study T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ deformations of chiral bosons using the formalism due to Sen. For arbitrary numbers of left- and right-chiral bosons, we find that the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed Lagrangian can be computed in closed form, giving rise to a novel non-local action in Sen’s formalism. We establish that at the limit of infinite T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ coupling, the equations of motion of deformed theory exhibits chiral decoupling. We then turn to a discussion of T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed chiral fermions, and point out that the stress tensor of the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed free fermion coincides with the undeformed seed theory. We explain this behaviour of the stress tensor by noting that the deformation term in the action is purely topological in nature and closely resembles the fermionic Wess-Zumino term in the Green-Schwarz formalism. In turn, this observation also explains a puzzle in the literature, viz. why the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ deformation of multiple free fermions truncate at linear order. We conclude by discussing the possibility of an interplay between T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ deformations and bosonisation. |
| first_indexed | 2024-12-20T01:06:08Z |
| format | Article |
| id | doaj.art-bc090a22944c4140bea40e91b2a30b7f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T01:06:08Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bc090a22944c4140bea40e91b2a30b7f2022-12-21T19:58:51ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021212610.1007/JHEP02(2021)028Irrelevant deformations of chiral bosonsSubhroneel Chakrabarti0Divyanshu Gupta1Arkajyoti Manna2Madhusudhan Raman3Institute of Mathematical Sciences, Homi Bhabha National Institute (HBNI)BITS-Pilani, KK Birla Goa CampusInstitute of Mathematical Sciences, Homi Bhabha National Institute (HBNI)Department of Theoretical Physics, Tata Institute of Fundamental ResearchAbstract We study T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ deformations of chiral bosons using the formalism due to Sen. For arbitrary numbers of left- and right-chiral bosons, we find that the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed Lagrangian can be computed in closed form, giving rise to a novel non-local action in Sen’s formalism. We establish that at the limit of infinite T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ coupling, the equations of motion of deformed theory exhibits chiral decoupling. We then turn to a discussion of T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed chiral fermions, and point out that the stress tensor of the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed free fermion coincides with the undeformed seed theory. We explain this behaviour of the stress tensor by noting that the deformation term in the action is purely topological in nature and closely resembles the fermionic Wess-Zumino term in the Green-Schwarz formalism. In turn, this observation also explains a puzzle in the literature, viz. why the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ deformation of multiple free fermions truncate at linear order. We conclude by discussing the possibility of an interplay between T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ deformations and bosonisation.https://doi.org/10.1007/JHEP02(2021)028Field Theories in Lower DimensionsIntegrable Field Theories |
| spellingShingle | Subhroneel Chakrabarti Divyanshu Gupta Arkajyoti Manna Madhusudhan Raman Irrelevant deformations of chiral bosons Journal of High Energy Physics Field Theories in Lower Dimensions Integrable Field Theories |
| title | Irrelevant deformations of chiral bosons |
| title_full | Irrelevant deformations of chiral bosons |
| title_fullStr | Irrelevant deformations of chiral bosons |
| title_full_unstemmed | Irrelevant deformations of chiral bosons |
| title_short | Irrelevant deformations of chiral bosons |
| title_sort | irrelevant deformations of chiral bosons |
| topic | Field Theories in Lower Dimensions Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP02(2021)028 |
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