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.
Cite
@article{arxiv.2012.02067,
title = {Holographic duality for Ising CFT with boundary},
author = {Andreas Karch and Zhu-Xi Luo and Hao-Yu Sun},
journal= {arXiv preprint arXiv:2012.02067},
year = {2021}
}
Comments
16+8 pages, v3