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Superconformal surfaces in four dimensions

Articolo
Data di Pubblicazione:
2020
Abstract:
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.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
Conformal and W Symmetry; Conformal Field Theory; Extended Supersymmetry; Supersymmetric Gauge Theory
Elenco autori:
Bianchi L.; Lemos M.
Autori di Ateneo:
BIANCHI Lorenzo
Link alla scheda completa:
https://iris.unito.it/handle/2318/1866925
Link al Full Text:
https://iris.unito.it/retrieve/handle/2318/1866925/1011118/scoap3-fulltext.pdf
Pubblicato in:
JOURNAL OF HIGH ENERGY PHYSICS
Journal
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