TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.7.2.021
TI  - CFT and lattice correlators near an RG domain wall between minimal models
PY  - 2024/04/19
UR  - https://www.scipost.org/SciPostPhysCore.7.2.021
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 7
IS  - 2
SP  - 021
A1  - Cogburn, Cameron V.
AU  - Fitzpatrick, Andrew Liam
AU  - Geng, Hao
AB  - Conformal interfaces separating two conformal field theories (CFTs) provide maps between different CFTs, and naturally exist in nature as domain walls between different phases. One particularly interesting construction of a conformal interface is the renormalization group (RG) domain wall between CFTs. For a given Virasoro minimal model $\mathcal{M}_{k+3,k+2}$, an RG domain wall can be generated by a specific deformation which triggers an RG flow towards its adjacent Virasoro minimal model $\mathcal{M}_{k+2,k+1}$ with the deformation turned on over part of the space. An algebraic construction of this domain wall was proposed by Gaiotto in [J. High Energy Phys. 12, 103 (2012)]. In this paper, we will provide a study of this RG domain wall for the minimal case $k=2$, which can be thought of as a nonperturbative check of the construction. In this case the wall is separating the Tricritical Ising Model (TIM) CFT and the Ising Model (IM) CFT. We will check the analytical results of correlation functions from the RG brane construction with the numerical density matrix renormalization group (DMRG) calculation using a lattice model proposed in [arXiv.1206.1332, Science 344, 280 (2014)], and find a perfect agreement. We comment on possible experimental realizations of this RG domain wall.
ER  -

@Article{10.21468/SciPostPhysCore.7.2.021,
	title={{CFT and lattice correlators near an RG domain wall between minimal models}},
	author={Cameron V. Cogburn and Andrew Liam Fitzpatrick and Hao Geng},
	journal={SciPost Phys. Core},
	volume={7},
	pages={021},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.7.2.021},
	url={https://scipost.org/10.21468/SciPostPhysCore.7.2.021},
}