Is it possible to create a holographic $AdS_2/CFT_1$ (2D/1D) toy model, which contains a magnetic monopole solution in the bulk?
I would like to study certain behaviours on the boundary of a toy model of this type for a project.
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2$\begingroup$ How do you propose to define a magnetic monopole in 1 spatial dimension? The only independent component of the field strength tensor is $E_1=F_{01}$ $\endgroup$– Nihar KarveSep 14, 2021 at 9:30
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$\begingroup$ I realized this as well. The problem is that I probably won’t be able to work in AdS3, due to my limited understanding and limited time. I know that it is possible to work entirely in the classical regime in AdS2, at least in most situations. $\endgroup$– Bobby ShmurdaSep 15, 2021 at 12:07
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1 Answer
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Near horizon geometry of four-dimensional extreme Reissner–Nordström geometry is the Bertotti–Robinson solution, which is the $\text{AdS}_2\times S^2$ geometry with Maxwell field. Now, this solution has a magnetic version and can be analyzed using AdS$_{2}$/CFT$_{1}$ tools.
References
Chen, C. M., Sun, J. R., & Zou, S. J. (2010). The RN/CFT correspondence revisited. Journal of High Energy Physics, 2010(1), 1-13, arXiv:0910.2076.
Castro, A., & Larsen, F. (2009). Near extremal Kerr entropy from AdS2 quantum gravity. Journal of High Energy Physics, 2009(12), 037, arXiv:0908.1121.
