scholarly journals On the Classification of Unitary Representations of Reductive Lie Groups

1998 ◽  
Vol 148 (3) ◽  
pp. 1067 ◽  
Author(s):  
Susana A. Salamanca-Riba ◽  
David A. Vogan
Keyword(s):  
Lie Groups ◽  
Unitary Representations ◽  
Reductive Lie Groups

scholarly journals Defect CFT techniques in the 6d $$ \mathcal{N} $$ = (2, 0) theory

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Nadav Drukker ◽  
Malte Probst ◽  
Maxime Trépanier
Keyword(s):  
Stress Tensor ◽  
Unitary Representations ◽  
Point Function ◽  
Displacement Operator ◽  
Expectation Value ◽  
Operator Expansion ◽  
Bulk Stress ◽  
Defect Operator ◽  
Tensor Multiplet

Abstract Surface operators are among the most important observables of the 6d $$ \mathcal{N} $$ N = (2, 0) theory. Here we apply the tools of defect CFT to study local operator insertions into the 1/2-BPS plane. We first relate the 2-point function of the displacement operator to the expectation value of the bulk stress tensor and translate this relation into a constraint on the anomaly coefficients associated with the defect. Secondly, we study the defect operator expansion of the stress tensor multiplet and identify several new operators of the defect CFT. Technical results derived along the way include the explicit supersymmetry tranformations of the stress tensor multiplet and the classification of unitary representations of the superconformal algebra preserved by the defect.

Classification of Lie Groups with the Haagerup Property

2001 ◽  
pp. 41-61
Author(s):  
Pierre-Alain Cherix ◽  
Michael Cowling ◽  
Alain Valette
Keyword(s):  
Lie Groups ◽  
Haagerup Property
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