Non-perturbative defect one-point functions in planar $\mathcal{N}=4$ super-Yang-Mills

Journal Article · 01 September 2020 · Nuclear Physics. B

DOI: https://doi.org/10.1016/j.nuclphysb.2020.115120 · OSTI ID:1643745

Komatsu, Shota  ^[1]; Wang, Yifan ^[2]

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1. Princeton Univ., NJ (United States). Inst. for Advanced Study. School of Natural Sciences
2. Princeton Univ., NJ (United States). Joseph Henry Labs; Harvard Univ., Cambridge, MA (United States). Center of Mathematical Sciences and Applications; Harvard Univ., Cambridge, MA (United States). Jefferson Physical Lab.

The four dimensional N=4 super-Yang-Mills (SYM) theory exhibits rich dynamics in the presence of codimension-one conformal defects. The new structure constants of the extended operator algebra consist of one-point functions of local operators which are nonvanishing due to the defect insertion and carry nontrivial coupling dependence. We study an important class of half-BPS superconformal defects engineered by D5 branes that share three common directions with the D3 branes and involve Nahm pole configurations for the SYM fields on the D3 brane worldvolume. In the planar large Nlimit, we obtain non-perturbative results in the ’t Hooft coupling λfor the defect one-point functions of both BPS and non-BPS operators, building upon recent progress in localization [1]and integrability methods [2,3].For BPS operator insertions in the SYM with D5-brane type boundary or interface, we derive an effective two dimensional defect-Yang-Mills (dYM) theory from supersymmetric localization, which gives an effi-cient way to extract defect observables and generates a novel matrix model for the defect one-point function. By solving the matrix model in the large Nlimit, we obtain exact results in λwhich interpolate between perturbative Feynman diagram contributions in the weak coupling limit and IIB string theory predictions on AdS5×S5in the strong coupling regime, providing a precision test of AdS/CFT with interface defects. For general non-BPS operators, we develop a non-perturbative bootstrap-type program for integrable boundary states on the worldsheet of the IIB string theory, corresponding to the interface defects in the planar SYM. Such integrable boundary states are constrained by a set of general consistency conditions for which we present explicit solutions that reproduce and extend the known results at weak coupling from integrable spin-chain methods.*Corresponding author.E-mail address:[e-mail](S. Komatsu).https://doi.org/10.1016/j.nuclphysb.2020.1151200550-3213/©2020 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.

• Research Organization: Institute for Advanced Study, Princeton, NJ (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: SC0009988
• OSTI ID: 1643745
• Alternate ID(s): OSTI ID: 1801984
• Journal Information: Nuclear Physics. B, Vol. 958, Issue C; ISSN 0550-3213
• Publisher: ElsevierCopyright Statement
• Country of Publication: United States
• Language: English