Modular conjugations in 2D conformal field theory and holographic bit threads
| Autor: | Mintchev, Mihail, Tonni, Erik |
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| Rok vydání: | 2022 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Statistical Mechanics (cond-mat.stat-mech) Field Theories in Lower Dimensions FOS: Physical sciences Mathematical Physics (math-ph) AdS-CFT Correspondence Scale and Conformal Symmetries Settore FIS/02 - Fisica Teorica Modelli e Metodi Matematici Mathematics - Mathematical Physics Physics - Statistical Mechanics High Energy Physics - Theory (hep-th) Thermal Field Theory Condensed Matter - Statistical Mechanics Mathematical Physics |
| Zdroj: | Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/jhep12(2022)149 |
| Popis: | We study the geometric action of some modular conjugations in two dimensional (2D) conformal field theories. We investigate the bipartition given by an interval when the system is in the ground state, either on the line or on the circle, and in the thermal Gibbs state on the line. We find that the restriction of the corresponding inversion maps to a spatial slice is obtained also in the gauge/gravity correspondence through the geodesic bit threads in a constant time slice of the dual static asymptotically AdS background. For a CFT in the thermal state on the line, the modular conjugation suggests the occurrence of a second world which can be related through the geodesic bit threads to the horizon of the BTZ black brane background. An inversion map is constructed also for the massless Dirac fermion in the ground state and on the line bipartite by the union of two disjoint intervals. Comment: 49 pages, 15 figures |
| Databáze: | OpenAIRE |
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