Modular transport in two-dimensional conformal field theory
Abstract We study the quantum transport generated by the bipartite entanglement in two-dimensional conformal field theory at finite density with the U(1) × U(1) symmetry associated to the conservation of the electric charge and of the helicity. The bipartition given by an interval is considered, eit...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2025)021 |
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| author | Mihail Mintchev Diego Pontello Erik Tonni |
| author_facet | Mihail Mintchev Diego Pontello Erik Tonni |
| author_sort | Mihail Mintchev |
| collection | DOAJ |
| description | Abstract We study the quantum transport generated by the bipartite entanglement in two-dimensional conformal field theory at finite density with the U(1) × U(1) symmetry associated to the conservation of the electric charge and of the helicity. The bipartition given by an interval is considered, either on the line or on the circle. The continuity equations and the corresponding conserved quantities for the modular flows of the currents and of the energy-momentum tensor are derived. We investigate the mean values of the associated currents and their quantum fluctuations in the finite density representation, which describe the properties of the modular quantum transport. The modular analogues of the Johnson- Nyquist law and of the fluctuation-dissipation relation are found, which encode the thermal nature of the modular evolution. |
| format | Article |
| id | doaj-art-e43b766fcacd4d5985e777e95814f8d3 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e43b766fcacd4d5985e777e95814f8d32025-08-20T03:42:23ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025817110.1007/JHEP08(2025)021Modular transport in two-dimensional conformal field theoryMihail Mintchev0Diego Pontello1Erik Tonni2Dipartimento di Fisica, Università di Pisa and INFN Sezione di PisaSISSA and INFN Sezione di TriesteSISSA and INFN Sezione di TriesteAbstract We study the quantum transport generated by the bipartite entanglement in two-dimensional conformal field theory at finite density with the U(1) × U(1) symmetry associated to the conservation of the electric charge and of the helicity. The bipartition given by an interval is considered, either on the line or on the circle. The continuity equations and the corresponding conserved quantities for the modular flows of the currents and of the energy-momentum tensor are derived. We investigate the mean values of the associated currents and their quantum fluctuations in the finite density representation, which describe the properties of the modular quantum transport. The modular analogues of the Johnson- Nyquist law and of the fluctuation-dissipation relation are found, which encode the thermal nature of the modular evolution.https://doi.org/10.1007/JHEP08(2025)021Field Theories in Lower DimensionsScale and Conformal SymmetriesNon-Equilibrium Field Theory |
| spellingShingle | Mihail Mintchev Diego Pontello Erik Tonni Modular transport in two-dimensional conformal field theory Journal of High Energy Physics Field Theories in Lower Dimensions Scale and Conformal Symmetries Non-Equilibrium Field Theory |
| title | Modular transport in two-dimensional conformal field theory |
| title_full | Modular transport in two-dimensional conformal field theory |
| title_fullStr | Modular transport in two-dimensional conformal field theory |
| title_full_unstemmed | Modular transport in two-dimensional conformal field theory |
| title_short | Modular transport in two-dimensional conformal field theory |
| title_sort | modular transport in two dimensional conformal field theory |
| topic | Field Theories in Lower Dimensions Scale and Conformal Symmetries Non-Equilibrium Field Theory |
| url | https://doi.org/10.1007/JHEP08(2025)021 |
| work_keys_str_mv | AT mihailmintchev modulartransportintwodimensionalconformalfieldtheory AT diegopontello modulartransportintwodimensionalconformalfieldtheory AT eriktonni modulartransportintwodimensionalconformalfieldtheory |