Probing Wilson loops in Chern-Simons-matter theories at weak coupling

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• 作者：Luca Griguolo^a ; ^{luca.griguolo@pr.infn.it" class="auth_mail" title="E-mail the corresponding author} ; Matias Leoni^b ; ^{leoni@df.uba.ar" class="auth_mail" title="E-mail the corresponding author} ; Andrea Mauri^c ; ^{andrea.mauri1@unimib.it" class="auth_mail" title="E-mail the corresponding author} ; Silvia Penati^c ; ^d ; ^{silvia.penati@mib.infn.it" class="auth_mail" title="E-mail the corresponding author} ; Domenico Seminara^e ; ^{domenico.seminara@fi.infn.it" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 February 2016
• 年：2016
• 卷：753
• 期：Complete
• 页码：500-505
• 全文大小：342 K

文摘

For three-dimensional N=4$\mathcal{N}=4$ super-Chern–Simons-matter theories associated to necklace quivers U(N₀)×U(N₁)×⋯U(N_2r−1)$U(N_0)\times U(N_1)\times \cdots U(N_{2r-1})$, we study at quantum level the two kinds of 1/2 BPS Wilson loop operators recently introduced in arXiv:1506.07614. We perform a two-loop evaluation and find the same result for the two kinds of operators, so moving to higher loops a possible quantum uplift of the classical degeneracy. We also compute the 1/4 BPS bosonic Wilson loop and discuss the quantum version of the cohomological equivalence between fermionic and bosonic Wilson loops. We compare the perturbative result with the Matrix Model prediction and find perfect matching, after identification and remotion of a suitable framing factor. Finally, we discuss the potential appearance of three-loop contributions that might break the classical degeneracy and briefly analyze possible implications on the BPS nature of these operators.