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Alday, Luis F.; Gaiotto, Davide; Gukov, Sergei; Tachikawa, Yuji; Verlinde, Herman

Loop and surface operators in \( \mathcal{N} = 2 \) gauge theory and Liouville modular geometry. (English) Zbl 1269.81078

J. High Energy Phys. 2010, No. 1, Paper No. 113, 50 p. (2010).
Summary: Recently, a duality between Liouville theory and four dimensional \( \mathcal{N} = 2 \) gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theory, surface operators and line operators, under this correspondence. We map such objects to specific operators in Liouville theory. We employ this connection to compute the expectation value of general supersymmetric ’t Hooft-Wilson line operators in a variety of \( \mathcal{N} = 2 \) gauge theories.

Cited in 1 Review
Cited in 246 Documents

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics

Keywords:

supersymmetry and duality; conformal and W symmetry; supersymmetric gauge theory
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References:

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