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Title: Holographic Weyl anomalies for 4d defects in 6d SCFTs

Journal Article · · Journal of High Energy Physics (Online)

In this note, we study 1/4- and 1/2-BPS co-dimension two superconformal defects in the 6d N = (2, 0) AN–1 SCFT at large N using their holographic descriptions as solutions of 11d supergravity. In this regime, we are able to compute the defect contribution to the sphere entanglement entropy and the change in the stress-energy tensor one-point function due to the presence of the defect using holography. From these quantities, we are then able to unambiguously compute the values for two of the twenty-nine total Weyl anomaly coefficients that characterize 4d conformal defects in six and higher dimensions. We are able to demonstrate the consistency of the supergravity description of the defect theories with the average null energy condition on the field theory side. For each class of defects that we consider, we also show that the A-type Weyl anomaly coefficient is non-negative. Lastly, we uncover and resolve a discrepancy between the on-shell action of the 7d 1/4-BPS domain wall solutions and that of their 11d uplift.

Research Organization:
SUNY Old Westbury, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0024557
OSTI ID:
2367179
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2024; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

References (92)

The holographic Weyl anomaly journal July 1998
$ {\text{SL}}\left( {2,\mathbb{R}} \right) $ Chern-Simons, Liouville, and gauge theory on duality walls journal August 2011
N = 2 dualities journal August 2012
’t Hooft anomalies and the holomorphy of supersymmetric partition functions journal August 2019
Weyl anomalies of four dimensional conformal boundaries and defects journal February 2022
From the Weyl Anomaly to Entropy of Two-Dimensional Boundaries and Defects journal June 2019
New phenomena in SU(3) supersymmetric gauge theory journal August 1995
Anomaly inflow for M5-branes on punctured Riemann surfaces journal June 2019
D3-Branes Wrapped on a Spindle journal March 2021
Holographic Duals of Argyres-Douglas Theories journal November 2021
Embedding AdS black holes in ten and eleven dimensions journal October 1999
Twisted D3-brane and M5-brane compactifications from multi-charge spindles journal July 2021
Central charges of 2d superconformal defects journal May 2020
Wilson surfaces in M5-branes journal August 2018
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal May 2006
Loop and surface operators in $ \mathcal{N} = 2 $ gauge theory and Liouville modular geometry journal January 2010
Defect a-theorem and a-maximization journal February 2022
3d defects in 5d: RG flows and defect F-maximization journal June 2023
M5-branes and D4-branes wrapped on a direct product of spindle and Riemann surface journal February 2024
M5-branes and Wilson surfaces in the AdS 7 / CFT 6 correspondence journal July 2014
Universality in the geometric dependence of Rényi entropy journal January 2015
On holographic defect entropy journal May 2014
Black holes with spindles at the horizon journal June 2022
Irreversibility, QNEC, and defects journal July 2023
Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory journal August 2015
On renormalization group flows in four dimensions journal December 2011
Supersymmetric D3/D5 for massive defects on curved space journal December 2017
Boundary and defect CFT: open problems and applications journal October 2020
Symmetry breaking and consistent truncations from M5-branes wrapping a disc journal January 2024
Superconformal surfaces in four dimensions journal June 2020
The superconformal index of the (2,0) theory with defects journal May 2015
Towards a derivation of holographic entanglement entropy journal May 2011
Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence journal March 2001
A note on co-dimension 2 defects in N = 4,d = 7 gauged supergravity journal November 2022
Surface operators in $ \mathcal{N} $ = 2 4d gauge theories journal November 2012
Holographic c-theorems in arbitrary dimensions journal January 2011
Bubbling AdS space and 1/2 BPS geometries journal October 2004
Bootstrapping string dynamics in the 6d 𝒩 = (2, 0) theories journal July 2023
Surface defects in holographic 5d SCFTs journal April 2021
1/2-BPS states in M theory and defects in the dual CFTs journal October 2007
Implications of Conformal Invariance in Field Theories for General Dimensions journal May 1994
Supersymmetric spindles journal January 2022
{\mathcal N}=2 S-duality via outer-automorphism twists journal April 2011
Gravity duals of N $$ \mathcal{N} $$ = 2 SCFTs and asymptotic emergence of the electrostatic description journal September 2014
Accelerating black holes and spinning spindles journal August 2021
N = 1 $$ \mathcal{N}=1 $$ theories of class S k $$ {\mathcal{S}}_k $$ journal July 2015
Defect CFT techniques in the 6d $$ \mathcal{N} $$ = (2, 0) theory journal March 2021
Holographic duals of M5-branes on an irregularly punctured sphere journal July 2022
Holographic entanglement entropy from probe M-theory branes journal March 2019
Recovering the QNEC from the ANEC journal May 2020
The electrostatic view on M-theory LLM geometries journal January 2011
D3-branes and M5-branes wrapped on a topological disc journal March 2022
Geometric classification of conformal anomalies in arbitrary dimensions journal July 1993
Supergravity Description of Field Theories on Curved Manifolds and a no go Theorem journal February 2001
6d Conformal matter journal February 2015
Bubbling surface operators and S-duality journal June 2007
Conformal field theories near a boundary in general dimensions journal September 1995
Precision Test of Gauge-Gravity Duality with Flavor journal December 2015
Holographic entanglement entropy: an overview journal December 2009
W $$ \mathcal{W} $$ symmetry in six dimensions journal May 2015
Superconformal index with surface defects for class Sk journal January 2021
Spaces of Quantum Field Theories journal December 2013
Conformal collider physics: energy and charge correlations journal May 2008
Holography, entanglement entropy, and conformal field theories with boundaries or defects journal November 2013
Open p-branes journal August 1996
M5-branes wrapped on a spindle journal November 2021
Aspects of defects in 3d-3d correspondence journal October 2016
Liouville Correlation Functions from Four-Dimensional Gauge Theories journal January 2010
Probing 𝒩 = 4 SYM with surface operators journal October 2008
Surface defect, anomalies and b-extremization journal November 2021
Towards a C-theorem in defect CFT journal January 2019
Non-perturbative formulas for central functions of supersymmetric gauge theories journal August 1998
Einstein-Weyl spaces and SU(∞) Toda fields journal April 1990
Explicit functional determinants in four dimensions journal March 1991
Aspects of holographic entanglement entropy journal August 2006
NILPOTENT ORBITS AND CODIMENSION-2 DEFECTS OF 6d${\mathcal N} = (2, 0)$ THEORIES journal February 2013
Holographic 6d co-dimension 2 defect solutions in M-theory journal November 2023
Wilson-’t Hooft operators in four-dimensional gauge theories and S -duality journal July 2006
Rigid Surface Operators journal January 2010
Boundary conformal invariants and the conformal anomaly in five dimensions journal May 2021
Localization on Hopf surfaces journal August 2014
Supersymmetric D3/D7 for holographic flavors on curved space journal November 2015
Higher-dimensional Willmore energies via minimal submanifold asymptotics journal January 2020
Monodromy defects in free field theories journal August 2021
Is there a c-theorem in four dimensions? journal December 1988
The gravity duals of $ \mathcal{N}=2 $ superconformal field theories journal October 2012
Gauge Theories Labelled by Three-Manifolds journal December 2013
M5-branes from gauge theories on the 5-sphere journal May 2013
Aspects of irregular punctures via holography journal November 2022
Reading between the lines of four-dimensional gauge theories journal August 2013
Six-dimensional D N theory and four-dimensional SO-USp quivers journal July 2009
Properties of some conformal field theories with M-theory duals journal February 2007