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Superconformal surfaces in four dimensions

Bianchi, Lorenzo; Lemos, Madalena

Superconformal surfaces in four dimensions Thumbnail


Lorenzo Bianchi


We study the constraints of superconformal symmetry on codimension two defects in four-dimensional superconformal field theories. We show that the one-point function of the stress tensor and the two-point function of the displacement operator are related, and we discuss the consequences of this relation for the Weyl anomaly coefficients as well as in a few examples, including the supersymmetric Rényi entropy. Imposing consistency with existing results, we propose a general relation that could hold for sufficiently supersymmetric defects of arbitrary dimension and codimension. Turning to N = (2, 2) surface defects in N≥ 2 superconformal field theories, we study the associated chiral algebra. We work out various properties of the modules introduced by the defect in the original chiral algebra. In particular, we find that the one-point function of the stress tensor controls the dimension of the defect identity in chiral algebra, providing a novel way to compute it, once the defect identity is identified. Studying a few examples, we show explicitly how these properties are realized.


Bianchi, L., & Lemos, M. (2020). Superconformal surfaces in four dimensions. Journal of High Energy Physics, 2020(6), Article 56.

Journal Article Type Article
Acceptance Date May 22, 2020
Online Publication Date Jun 8, 2020
Publication Date 2020-06
Deposit Date Jun 9, 2020
Publicly Available Date Jun 14, 2020
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2020
Issue 6
Article Number 56


Published Journal Article (888 Kb)

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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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