Holographic timelike entanglement entropy in non-relativistic theories
Abstract Timelike entanglement entropy is a complex measure of information that is holographically realized by an appropriate combination of spacelike and timelike extremal surfaces. This measure is highly sensitive to Lorentz invariance breaking. In this work, we study the timelike entanglement ent...
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2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)205 |
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| author | Mir Afrasiar Jaydeep Kumar Basak Dimitrios Giataganas |
| author_facet | Mir Afrasiar Jaydeep Kumar Basak Dimitrios Giataganas |
| author_sort | Mir Afrasiar |
| collection | DOAJ |
| description | Abstract Timelike entanglement entropy is a complex measure of information that is holographically realized by an appropriate combination of spacelike and timelike extremal surfaces. This measure is highly sensitive to Lorentz invariance breaking. In this work, we study the timelike entanglement entropy in non-relativistic theories, focusing on theories with hyperscaling violation and Lifshitz-like spatial anisotropy. The properties of the extremal surfaces, as well as the timelike entanglement entropy itself, depend heavily on the symmetry-breaking parameters of the theory. Consequently, we show that timelike entanglement can encode, to a large extent, the stability and naturalness of the theory. Furthermore, we find that timelike entanglement entropy identifies Fermi surfaces either through the logarithmic behavior of its real part or, alternatively, via its constant imaginary part, with this constant value depending on the theory’s Lifshitz exponent. This provides a novel interpretation for the imaginary component of this pseudoentropy. Additionally, we examine temporal entanglement entropy, an extension of timelike entanglement entropy to Euclidean space, and provide a comprehensive discussion of its properties in these theories. |
| format | Article |
| id | doaj-art-e225204eee6b44bfb2ce63bab77a3561 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e225204eee6b44bfb2ce63bab77a35612025-08-20T03:10:28ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025513410.1007/JHEP05(2025)205Holographic timelike entanglement entropy in non-relativistic theoriesMir Afrasiar0Jaydeep Kumar Basak1Dimitrios Giataganas2Department of Physics, National Sun Yat-Sen UniversityDepartment of Physics, National Sun Yat-Sen UniversityDepartment of Physics, National Sun Yat-Sen UniversityAbstract Timelike entanglement entropy is a complex measure of information that is holographically realized by an appropriate combination of spacelike and timelike extremal surfaces. This measure is highly sensitive to Lorentz invariance breaking. In this work, we study the timelike entanglement entropy in non-relativistic theories, focusing on theories with hyperscaling violation and Lifshitz-like spatial anisotropy. The properties of the extremal surfaces, as well as the timelike entanglement entropy itself, depend heavily on the symmetry-breaking parameters of the theory. Consequently, we show that timelike entanglement can encode, to a large extent, the stability and naturalness of the theory. Furthermore, we find that timelike entanglement entropy identifies Fermi surfaces either through the logarithmic behavior of its real part or, alternatively, via its constant imaginary part, with this constant value depending on the theory’s Lifshitz exponent. This provides a novel interpretation for the imaginary component of this pseudoentropy. Additionally, we examine temporal entanglement entropy, an extension of timelike entanglement entropy to Euclidean space, and provide a comprehensive discussion of its properties in these theories.https://doi.org/10.1007/JHEP05(2025)205AdS-CFT CorrespondenceGauge-Gravity Correspondence |
| spellingShingle | Mir Afrasiar Jaydeep Kumar Basak Dimitrios Giataganas Holographic timelike entanglement entropy in non-relativistic theories Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence |
| title | Holographic timelike entanglement entropy in non-relativistic theories |
| title_full | Holographic timelike entanglement entropy in non-relativistic theories |
| title_fullStr | Holographic timelike entanglement entropy in non-relativistic theories |
| title_full_unstemmed | Holographic timelike entanglement entropy in non-relativistic theories |
| title_short | Holographic timelike entanglement entropy in non-relativistic theories |
| title_sort | holographic timelike entanglement entropy in non relativistic theories |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP05(2025)205 |
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