Abstract: We discuss the near BPS expansion of the generalized cusp anomalous dimension with L units of R-charge. Integrability provides an exact solution, obtained by solving a general TBA equation in the appropriate limit: we propose here an alternative method based on supersymmetric localization. The basic idea is to relate the computation to the vacuum expectation value of certain 1/8 BPS Wilson loops with local operator insertions along the contour. These observables localize on a two-dimensional gauge theory on S2, opening the possibility of exact calculations. As a test of our proposal, we reproduce the leading Lüscher correction at weak coupling to the generalized cusp anomalous dimension. This result is also checked against a genuine Feynman diagram approach in (Formula presented.) Super Yang-Mills theory.
Bremsstrahlung function, leading Lüscher correction at weak coupling and localization / Bonini, Marisa; Griguolo, Luca; Preti, Michelangelo; Seminara, Domenico. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1126-6708. - 2016:2(2016), pp. 1-24. [10.1007/JHEP02(2016)172]
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