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Holographic duality for Ising CFT with boundary

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

We extend the holographic duality between 3d pure gravity and 2d Ising CFT proposed in ref. [1] 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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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSAdS-CFT CorrespondenceBlack HolesConformal Field TheoryConformal and W Symmetry

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Karch, Andreas, Luo, Zhu-Xi, Sun, Hao-Yu. 2021-04-02. Holographic duality for Ising CFT with boundary. https://doi.org/10.1007/jhep04(2021)018

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