Supercurrents and brane currents in diverse dimensions

By T. Dumitrescu, N. Seiberg. 2011

161 citations recorded by the source corpus.

We systematically analyze all possible supersymmetry multiplets that include the supersymmetry current and the energy-momentum tensor in various dimensions, focusing on $ \mathcal{N} = 1 $ in four dimensions. The most general such multiplet is the $ \mathcal{S} $-multiplet, which includes 16 bosonic and 16 fermionic operators. In special situations it can be decomposed, leadingtosmallermultipletswith12 + 12oreven8 + 8operators. Physically, these multiplets give rise to different brane charges in the supersymmetry algebra. The $ \mathcal{S} $-multiplet is needed when the algebra contains both string and domain wall charges. In lower dimensions (or in four-dimensional $ \mathcal{N} = 2 $ theories) the algebra can include space-filling brane charges, which are associated with partial supersymmetry breaking. This phenomenon is physically distinct from ordinary spontaneous supersymmetry breaking. Our analysis leads to new results about the dynamics of supersymmetric field theories. These include constraints on the existence of certain charged branes and the absence of magnetic charges in U(1) gauge theories with a Fayet-Iliopoulos term.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/44eb1b4a25f7c9cc1d38eb7caecf00a6086843f9

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In Nuclear and High Energy Physics

Citations in the corpus

Contact terms, unitarity, and F -maximization in three-dimensional superconformal theories (2012, methodology): “9) compared to the formulas in [30], because we are working in Euclidean signature.”
Rigid supersymmetric theories in curved superspace (2011, background): “2 See [43, 44 ] for a detailed discussion and a list of earlier references.”
Deformations of superconformal theories (2016, background): “See [56] for a discussion of stress-tensor multiplets in three-dimensional N = 2 theories, including the effects of flavor masses.”
Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond (2022, background): “In SUSY QFT’s they can be global symmetries, and the associated charges can extend the SUSY algebra (see [23] and references therein).”
Supersymmetric field theories on three-manifolds (2012, background): “The structure of supercurrents in threedimensional N = 2 theories was analyzed in [35].”
Exploring curved superspace (2012, background): “In general, the supercurrent multiplet Sμ contains 16 + 16 independent operators [42,43].”
Two-dimensional SCFTs from wrapped branes and c-extremization (2013, unknown): “In fact the R-current is in the same supermultiplet as the stress tensor Tμν and the supercurrent, and mixing corresponds to linear improvement transformations of the multiplet [6].”
The geometry of supersymmetric partition functions (2013, methodology): “Conversely, ZM4 can only depend on W in the presence of FI-terms or a non-trivial target-space Kähler class.”
Generalized global symmetries (2014, background): “[14] and references therein), but to the best of our knowledge they are rarely discussed as global”