BibTex format
@article{Drukker:2020:10.1007/jhep07(2020)101,
author = {Drukker, N and Giombi, S and Tseytlin, AA and Zhou, X},
doi = {10.1007/jhep07(2020)101},
journal = {The Journal of High Energy Physics},
title = {Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS7×S4},
url = {http://dx.doi.org/10.1007/jhep07(2020)101},
volume = {2020},
year = {2020}
}
RIS format (EndNote, RefMan)
TY - JOUR
AB - Surface operators in the 6d (2,0) theory at large $N$ have a holographicdescription in terms of M2 branes probing the AdS$_7 \times S^4$ M-theorybackground. The most symmetric, 1/2-BPS, operator is defined over a planar orspherical surface, and it preserves a 2d superconformal group. This includes,in particular, an $SO(2,2)$ subgroup of 2d conformal transformations, so thatthe surface operator may be viewed as a conformal defect in the 6d theory. Thedual M2 brane has an AdS$_3$ induced geometry, reflecting the 2d conformalsymmetry. Here we use the holographic description to extract the defect CFTdata associated to the surface operator. The spectrum of transversefluctuations of the M2 brane is found to be in one-to-one correspondence with aprotected multiplet of operator insertions on the surface, which includes thedisplacement operator. We compute the one-loop determinants of fluctuations ofthe M2 brane, and extract the conformal anomaly coefficient of the sphericalsurface to order $N^0$. We also briefly discuss the RG flow from thenon-supersymmetric to the 1/2-BPS defect operator, and its consistency with a"$b$-theorem" for the defect CFT. Starting with the M2 brane action, we thenuse AdS$_3$ Witten diagrams to compute the 4-point functions of the elementarybosonic insertions on the surface operator, and extract some of the defect CFTdata from the OPE. The 4-point function is shown to satisfy superconformal Wardidentities, and we discuss a related subsector of "twisted" scalar insertions,whose correlation functions are constrained by the residual superconformalsymmetry.
AU - Drukker,N
AU - Giombi,S
AU - Tseytlin,AA
AU - Zhou,X
DO - 10.1007/jhep07(2020)101
PY - 2020///
SN - 1029-8479
TI - Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS7×S4
T2 - The Journal of High Energy Physics
UR - http://dx.doi.org/10.1007/jhep07(2020)101
UR - http://arxiv.org/abs/2004.04562v2
VL - 2020
ER -