S -duality and loop operators in canonical formalism
نویسندگان
چکیده
We study the gauge invariant 't Hooft operator in canonical formalism for Yang-Mills theory as well $\mathcal{N} =4 $ super-Yang-Mills with group U(N) $. It is shown that spectrum of labeled by arbitrary irreducible representation same Wilson representation. So it possible to construct a unitary S making two kinds loop operators transformed into each other. S-duality transformation could be realized compute supersymmetry variations fermionic couplings turned off. The result consistent expectation action should make supercharges transform U(1)_{Y} phase.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.103.045010