Holographic duality for Ising CFT with boundary

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.

arXiv comment16+8 pages, v3

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Cited by in corpus (6)

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• Structure of Holographic BCFT Correlators from Geodesics
• Poincaré Series, 3d Gravity and Averages of Rational CFT
• Universal relations for holographic interfaces
• AdS${}_3$ Gravity and RCFT Ensembles with Multiple Invariants
• Holography for BCFTs with Multiple Boundaries: Multi-Splitting Quenches