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Published version

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2014-01-08

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cc-by (c) Fiol Núñez, Bartomeu et al., 2014
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/53068

Exact results for Wilson loops in arbitrary representations

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http://dx.doi.org/10.1007/JHEP01(2014)020

Abstract

We compute the exact vacuum expectation value of 1/2 BPS circular Wilson loops of TeX = 4 U(N) super Yang-Mills in arbitrary irreducible representations. By localization arguments, the computation reduces to evaluating certain integrals in a Gaussian matrix model, which we do using the method of orthogonal polynomials. Our results are particularly simple for Wilson loops in antisymmetric representations; in this case, we observe that the final answers admit an expansion where the coefficients are positive integers, and can be written in terms of sums over skew Young diagrams. As an application of our results, we use them to discuss the exact Bremsstrahlung functions associated to the corresponding heavy probes.

Subject

Teoria quàntica de camps, Camps de galga (Física), Polinomis ortogonals, Supersimetria, Partícules (Física nuclear)

Subject (English)

Quantum field theory, Gauge fields (Physics), Orthogonal polynomials, Supersymmetry, Particles (Nuclear physics)

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

FIOL NÚÑEZ, Bartomeu and TORRENTS VERDAGUER, Genís. Exact results for Wilson loops in arbitrary representations. Journal of High Energy Physics. 2014. Vol. 2014, num. 1, pags. 20. ISSN 1126-6708. [consulted: 11 of August of 2026]. Available at: https://hdl.handle.net/2445/53068

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