Surface defect, anomalies and b-extremization

Abstract Quantum field theories (QFT) in the presence of defects exhibit new types of anomalies which play an important role in constraining the defect dynamics and defect renormalization group (RG) flows. Here we study surface defects and their anomalies in conformal field theories (CFT) of general...

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Autor principal:	Yifan Wang
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Anomalies in Field and String Theories Boundary Quantum Field Theory Conformal Field Theory Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/c067884afd894dc698f60e7eed9e12cb
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spelling	oai:doaj.org-article:c067884afd894dc698f60e7eed9e12cb2021-11-21T12:40:50ZSurface defect, anomalies and b-extremization10.1007/JHEP11(2021)1221029-8479https://doaj.org/article/c067884afd894dc698f60e7eed9e12cb2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)122https://doaj.org/toc/1029-8479Abstract Quantum field theories (QFT) in the presence of defects exhibit new types of anomalies which play an important role in constraining the defect dynamics and defect renormalization group (RG) flows. Here we study surface defects and their anomalies in conformal field theories (CFT) of general spacetime dimensions. When the defect is conformal, it is characterized by a conformal b-anomaly analogous to the c-anomaly of 2d CFTs. The b-theorem states that b must monotonically decrease under defect RG flows and was proven by coupling to a spurious defect dilaton. We revisit the proof by deriving explicitly the dilaton effective action for defect RG flow in the free scalar theory. For conformal surface defects preserving N $$ \mathcal{N} $$ = (0, 2) supersymmetry, we prove a universal relation between the b-anomaly and the ’t Hooft anomaly for the U(1) r symmetry. We also establish the b-extremization principle that identifies the superconformal U(1) r symmetry from N $$ \mathcal{N} $$ = (0, 2) preserving RG flows. Together they provide a powerful tool to extract the b-anomaly of strongly coupled surface defects. To illustrate our method, we determine the b-anomalies for a number of surface defects in 3d, 4d and 6d SCFTs. We also comment on manifestations of these defect conformal and ’t Hooft anomalies in defect correlation functions.Yifan WangSpringerOpenarticleAnomalies in Field and String TheoriesBoundary Quantum Field TheoryConformal Field TheorySupersymmetric Gauge TheoryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-33 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Anomalies in Field and String Theories Boundary Quantum Field Theory Conformal Field Theory Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Anomalies in Field and String Theories Boundary Quantum Field Theory Conformal Field Theory Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Yifan Wang Surface defect, anomalies and b-extremization
description	Abstract Quantum field theories (QFT) in the presence of defects exhibit new types of anomalies which play an important role in constraining the defect dynamics and defect renormalization group (RG) flows. Here we study surface defects and their anomalies in conformal field theories (CFT) of general spacetime dimensions. When the defect is conformal, it is characterized by a conformal b-anomaly analogous to the c-anomaly of 2d CFTs. The b-theorem states that b must monotonically decrease under defect RG flows and was proven by coupling to a spurious defect dilaton. We revisit the proof by deriving explicitly the dilaton effective action for defect RG flow in the free scalar theory. For conformal surface defects preserving N $$ \mathcal{N} $$ = (0, 2) supersymmetry, we prove a universal relation between the b-anomaly and the ’t Hooft anomaly for the U(1) r symmetry. We also establish the b-extremization principle that identifies the superconformal U(1) r symmetry from N $$ \mathcal{N} $$ = (0, 2) preserving RG flows. Together they provide a powerful tool to extract the b-anomaly of strongly coupled surface defects. To illustrate our method, we determine the b-anomalies for a number of surface defects in 3d, 4d and 6d SCFTs. We also comment on manifestations of these defect conformal and ’t Hooft anomalies in defect correlation functions.
format	article
author	Yifan Wang
author_facet	Yifan Wang
author_sort	Yifan Wang
title	Surface defect, anomalies and b-extremization
title_short	Surface defect, anomalies and b-extremization
title_full	Surface defect, anomalies and b-extremization
title_fullStr	Surface defect, anomalies and b-extremization
title_full_unstemmed	Surface defect, anomalies and b-extremization
title_sort	surface defect, anomalies and b-extremization
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/c067884afd894dc698f60e7eed9e12cb
work_keys_str_mv	AT yifanwang surfacedefectanomaliesandbextremization
_version_	1718418912895303680

Surface defect, anomalies and b-extremization

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