Holographic non-Hermitian lattices and junctions and their RG flows
Abstract We construct and study inhomogeneous non-Hermitian strongly coupled holographic field theories. We consider two models: a lattice where in each site there is some inflow/outflow of matter and a Hermitian/non-Hermitian/Hermitian junction. By tuning a complex external gauge field, we find a n...
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SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)276 |
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| author | Daniel Areán David Garcia-Fariña |
| author_facet | Daniel Areán David Garcia-Fariña |
| author_sort | Daniel Areán |
| collection | DOAJ |
| description | Abstract We construct and study inhomogeneous non-Hermitian strongly coupled holographic field theories. We consider two models: a lattice where in each site there is some inflow/outflow of matter and a Hermitian/non-Hermitian/Hermitian junction. By tuning a complex external gauge field, we find a non-Hermitian model which can be mapped to a Hermitian one via a complexified U(1) gauge transformation. On the other hand, in the absence of the gauge field we find non-Hermitian solutions with a purely imaginary current. Despite this, all expectation values respect PT $$ \mathcal{PT} $$ symmetry and thus we expect the system to feature unitary time evolution. Nonetheless, we have not found a map bringing these solutions to a Hermitian description. We study the RG flows of solutions with imaginary current finding that in the IR they can be mapped to a Hermitian conformal fixed point via a complexified U(1) transformation. Remarkably, we also obtain solutions where the null energy condition is violated near the boundary of the dual geometry. |
| format | Article |
| id | doaj-art-51f7fed60dc9458eb30c4ae449ecd548 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-51f7fed60dc9458eb30c4ae449ecd5482025-08-20T03:45:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025714010.1007/JHEP07(2025)276Holographic non-Hermitian lattices and junctions and their RG flowsDaniel Areán0David Garcia-Fariña1Instituto de Física Teórica UAM/CSICInstituto de Física Teórica UAM/CSICAbstract We construct and study inhomogeneous non-Hermitian strongly coupled holographic field theories. We consider two models: a lattice where in each site there is some inflow/outflow of matter and a Hermitian/non-Hermitian/Hermitian junction. By tuning a complex external gauge field, we find a non-Hermitian model which can be mapped to a Hermitian one via a complexified U(1) gauge transformation. On the other hand, in the absence of the gauge field we find non-Hermitian solutions with a purely imaginary current. Despite this, all expectation values respect PT $$ \mathcal{PT} $$ symmetry and thus we expect the system to feature unitary time evolution. Nonetheless, we have not found a map bringing these solutions to a Hermitian description. We study the RG flows of solutions with imaginary current finding that in the IR they can be mapped to a Hermitian conformal fixed point via a complexified U(1) transformation. Remarkably, we also obtain solutions where the null energy condition is violated near the boundary of the dual geometry.https://doi.org/10.1007/JHEP07(2025)276AdS-CFT CorrespondenceGauge-Gravity CorrespondenceHolography and Condensed Matter Physics (AdS/CMT) |
| spellingShingle | Daniel Areán David Garcia-Fariña Holographic non-Hermitian lattices and junctions and their RG flows Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
| title | Holographic non-Hermitian lattices and junctions and their RG flows |
| title_full | Holographic non-Hermitian lattices and junctions and their RG flows |
| title_fullStr | Holographic non-Hermitian lattices and junctions and their RG flows |
| title_full_unstemmed | Holographic non-Hermitian lattices and junctions and their RG flows |
| title_short | Holographic non-Hermitian lattices and junctions and their RG flows |
| title_sort | holographic non hermitian lattices and junctions and their rg flows |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
| url | https://doi.org/10.1007/JHEP07(2025)276 |
| work_keys_str_mv | AT danielarean holographicnonhermitianlatticesandjunctionsandtheirrgflows AT davidgarciafarina holographicnonhermitianlatticesandjunctionsandtheirrgflows |