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- W2334698891 abstract "We study a class of twisted 3D documentclass[12pt]{minimal}begin{document}$mathcal {N}=4$end{document}N=4 supersymmetric Yang-Mills (SYM) theory on particular 3-dimensional lattice documentclass[12pt]{minimal}begin{document}$mathbb {L}_{3D}$end{document}L3D formally denoted as documentclass[12pt]{minimal}begin{document}$mathcal {L}_{3D}^{su_{3}times u_{1}}$end{document}L3Dsu3×u1 and given by non-trivial fibration documentclass[12pt]{minimal}begin{document}$mathcal {L}_{1D}^{u_{1}}times mathcal {L}_{2D}^{su_{3}}$end{document}L1Du1×L2Dsu3 with base documentclass[12pt]{minimal}begin{document}$mathcal {L}_{2D}^{su_{3}}=mathbb {A}_{2}^{ast }$end{document}L2Dsu3=A2*, the weight lattice of SU(3). We first, develop the twisted 3D documentclass[12pt]{minimal}begin{document}$mathcal {N}=4$end{document}N=4 SYM in continuum by using superspace method where the scalar supercharge Q is manifestly exhibited. Then, we show how to engineer the 3D lattice documentclass[12pt]{minimal}begin{document}$mathcal {L}_{3D}^{su_{3}times u_{1}}$end{document}L3Dsu3×u1 that host this theory. After that we build the lattice action documentclass[12pt]{minimal}begin{document}$mathcal {S}_{latt}$end{document}Slatt invariant under the following three points: (i) U(N) gauge invariance, (ii) BRST symmetry, (iii) the documentclass[12pt]{minimal}begin{document}$mathbb {S} _{3}$end{document}S3 point group symmetry of documentclass[12pt]{minimal}begin{document}$mathcal {L}_{3D}^{su_{3}times u_{1}}$end{document}L3Dsu3×u1. Other features such as reduction to twisted 2D supersymmetry with 8 supercharges living on documentclass[12pt]{minimal}begin{document}$mathbb {L}_{2D}equiv mathcal {L}_{2D}^{su_{2}times u_{1}}$end{document}L2D≡L2Dsu2×u1, the extension to twisted maximal 5D SYM with 16 supercharges on lattice documentclass[12pt]{minimal}begin{document}$mathbb {L}_{5D}equiv mathcal {L}_{5D}^{su_{4}times u_{1}}$end{document}L5D≡L5Dsu4×u1 as well as the relation with known results are also given." @default.
- W2334698891 created "2016-06-24" @default.
- W2334698891 creator A5091084666 @default.
- W2334698891 date "2014-01-01" @default.
- W2334698891 modified "2023-09-30" @default.
- W2334698891 title "Twisted <i>3D</i> $mathcal {N}=4$N=4 supersymmetric YM on deformed $mathbb {A}_{3}^{ast }$A3* lattice" @default.
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- W2334698891 doi "https://doi.org/10.1063/1.4862743" @default.
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