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arXiv · 2012.02067

Holographic duality for Ising CFT with boundary

Andreas Karch·Zhu-Xi Luo·Hao-Yu Sun
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Abstract

We extend the holographic duality between 3d pure gravity and the 2d Ising CFT proposed in [Phys. Rev. D 85 (2012) 024032] to CFTs with boundaries. Besides the usual asymptotic boundary, the dual bulk spacetime now has a real cutoff, on which live branes with finite tension, giving Neumann boundary condition on the metric tensor. The strongly coupled bulk theory requires that we dress the well-known semiclassical AdS/BCFT answer with boundary gravitons, turning the partition function into the form of Virasoro characters. Using this duality, we relate the brane tensions to the modular S-matrix elements of the dual BCFT and derive the transformation between gravitational solutions with different brane tensions under modular S action.

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Andreas Karch, Zhu-Xi Luo, Hao-Yu Sun. 2020-12-03. Holographic duality for Ising CFT with boundary. https://doi.org/10.1007/jhep04(2021)018

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