Defect two-point functions in 6D (2,0) theories
Junding Chen, Aleix Gimenez-Grau, Xinan Zhou
Abstract
We consider correlation functions in 6D (2,0) theories of two <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mfrac><a:mn>1</a:mn><a:mn>2</a:mn></a:mfrac></a:math>-Bogomol’nyi-Prasad-Sommerfield (BPS) operators inserted away from a <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mfrac><c:mn>1</c:mn><c:mn>2</c:mn></c:mfrac></c:math>-BPS surface defect. In the large central-charge limit the leading connected contribution corresponds to sums of tree-level Witten diagram in <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mrow><e:msub><e:mrow><e:mi>AdS</e:mi></e:mrow><e:mrow><e:mn>7</e:mn></e:mrow></e:msub><e:mo>×</e:mo><e:msup><e:mrow><e:mi mathvariant="normal">S</e:mi></e:mrow><e:mrow><e:mn>4</e:mn></e:mrow></e:msup></e:mrow></e:math> in the presence of an <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:mrow><h:msub><h:mrow><h:mi>AdS</h:mi></h:mrow><h:mrow><h:mn>3</h:mn></h:mrow></h:msub></h:mrow></h:math> defect. We show that these correlators can be uniquely determined by imposing only superconformal symmetry and consistency conditions, eschewing the details of the complicated effective Lagrangian. We explicitly compute all such two-point functions. The result exhibits remarkable hidden simplicity. Published by the American Physical Society 2024