Ensemble Dependent Holographic Phase Transitions in 4$D$ Dyonic AdS Black Holes
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| Format: | Preprint |
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2024
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| _version_ | 1866909994821091328 |
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| author | Baruah, Abhishek Phukon, Prabwal |
| author_facet | Baruah, Abhishek Phukon, Prabwal |
| contents | This work studies the holographic thermodynamics of $4D$ dyonic Anti--de Sitter black holes within the AdS/CFT correspondence. By allowing variations of the cosmological constant $Λ$ and Newton's constant $G_N$, the gravitational thermodynamics is extended to include the CFT central charge $C$ and its conjugate chemical potential $μ$, together with the standard thermodynamic pair $(T,S)$. A further conjugate pair $(p,\mathcal{V})$, interpreted as the CFT pressure and volume, is also introduced. The presence of both electric and magnetic charges, described by $(\tildeΦ_e,\tilde{Q}_e)$ and $(\tildeΦ_m,\tilde{Q}_m)$, leads to a significantly enriched phase structure. A systematic analysis of all sixteen thermodynamic ensembles reveals a strong dependence of phase behavior on ensemble choice. In the ensembles $(\tilde{Q}_m,\tildeΦ_e,\mathcal{V},C)$ and $(\tilde{Q}_e,\tildeΦ_m,\mathcal{V},C)$, the system exhibits Van der Waals transitions, superfluid $λ$ transitions, and Davies criticality, while the ensemble $(\tilde{Q}_m,\tilde{Q}_e,\mathcal{V},C)$ supports similar transitions except for the Davies transitions. When the chemical potential $μ$ is fixed, only Davies--type transitions occur. Ensembles involving the CFT pressure $p$ show no critical behavior, although Davies transitions persist. Notably, the ensemble $(\tildeΦ_m,\tildeΦ_e,\mathcal{V},C)$ uniquely displays a confined/deconfined transition alongside Davies criticality. These results highlight the crucial role of dyonic charges and CFT variables in shaping holographic phase transitions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_11058 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ensemble Dependent Holographic Phase Transitions in 4$D$ Dyonic AdS Black Holes Baruah, Abhishek Phukon, Prabwal High Energy Physics - Theory General Relativity and Quantum Cosmology This work studies the holographic thermodynamics of $4D$ dyonic Anti--de Sitter black holes within the AdS/CFT correspondence. By allowing variations of the cosmological constant $Λ$ and Newton's constant $G_N$, the gravitational thermodynamics is extended to include the CFT central charge $C$ and its conjugate chemical potential $μ$, together with the standard thermodynamic pair $(T,S)$. A further conjugate pair $(p,\mathcal{V})$, interpreted as the CFT pressure and volume, is also introduced. The presence of both electric and magnetic charges, described by $(\tildeΦ_e,\tilde{Q}_e)$ and $(\tildeΦ_m,\tilde{Q}_m)$, leads to a significantly enriched phase structure. A systematic analysis of all sixteen thermodynamic ensembles reveals a strong dependence of phase behavior on ensemble choice. In the ensembles $(\tilde{Q}_m,\tildeΦ_e,\mathcal{V},C)$ and $(\tilde{Q}_e,\tildeΦ_m,\mathcal{V},C)$, the system exhibits Van der Waals transitions, superfluid $λ$ transitions, and Davies criticality, while the ensemble $(\tilde{Q}_m,\tilde{Q}_e,\mathcal{V},C)$ supports similar transitions except for the Davies transitions. When the chemical potential $μ$ is fixed, only Davies--type transitions occur. Ensembles involving the CFT pressure $p$ show no critical behavior, although Davies transitions persist. Notably, the ensemble $(\tildeΦ_m,\tildeΦ_e,\mathcal{V},C)$ uniquely displays a confined/deconfined transition alongside Davies criticality. These results highlight the crucial role of dyonic charges and CFT variables in shaping holographic phase transitions. |
| title | Ensemble Dependent Holographic Phase Transitions in 4$D$ Dyonic AdS Black Holes |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.11058 |