Holographic Aspects of Even-Dimensional Topological Gravity
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910310640648192 |
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| author | Đorđević, Dušan Gočanin, Dragoljub |
| author_facet | Đorđević, Dušan Gočanin, Dragoljub |
| contents | In an odd-dimensional spacetime, gravity can be formulated as a proper gauge theory based on the Chern-Simons action for a suitable gauge group. Performing dimensional reduction, one obtains, as an effective theory, Chamseddine's even-dimensional topological gravity with the reduced gauge symmetry. This theory involves a multiplet of scalar fields that appear as a result of the dimensional reduction, and it is topological in the sense that its action does not depend on the metric. Focusing primarily on the four-dimensional case, we use the holographic dictionary to compute one-point correlation functions of the relevant boundary operators and find that the spin-current can have a nonzero expectation value in the dual quantum field theory. We also consider the generalized holographic Weyl anomaly and find that it vanishes. Finally, we propose a way of computing two-point correlation functions using the gravitational Wilson lines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03215 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Holographic Aspects of Even-Dimensional Topological Gravity Đorđević, Dušan Gočanin, Dragoljub High Energy Physics - Theory In an odd-dimensional spacetime, gravity can be formulated as a proper gauge theory based on the Chern-Simons action for a suitable gauge group. Performing dimensional reduction, one obtains, as an effective theory, Chamseddine's even-dimensional topological gravity with the reduced gauge symmetry. This theory involves a multiplet of scalar fields that appear as a result of the dimensional reduction, and it is topological in the sense that its action does not depend on the metric. Focusing primarily on the four-dimensional case, we use the holographic dictionary to compute one-point correlation functions of the relevant boundary operators and find that the spin-current can have a nonzero expectation value in the dual quantum field theory. We also consider the generalized holographic Weyl anomaly and find that it vanishes. Finally, we propose a way of computing two-point correlation functions using the gravitational Wilson lines. |
| title | Holographic Aspects of Even-Dimensional Topological Gravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2307.03215 |