Deformations of superconformal theories

By Clay Córdova, T. Dumitrescu, K. Intriligator. 2016

184 citations recorded by the source corpus.

A bstractWe classify possible supersymmetry-preserving relevant, marginal, and irrelevant deformations of unitary superconformal theories in d ≥ 3 dimensions. Our method only relies on symmetries and unitarity. Hence, the results are model independent and do not require a Lagrangian description. Two unifying themes emerge: first, many theories admit deformations that reside in multiplets together with conserved currents. Such deformations can lead to modifications of the supersymmetry algebra by central and non-central charges. Second, many theories with a sufficient amount of supersymmetry do not admit relevant or marginal deformations, and some admit neither. The classification is complicated by the fact that short superconformal multiplets display a rich variety of sporadic phenomena, including supersymmetric deformations that reside in the middle of a multiplet. We illustrate our results with examples in diverse dimensions. In particular, we explain how the classification of irrelevant supersymmetric deformations can be used to derive known and new constraints on moduli-space effective actions.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/931169b064699a5989eb861c8ffd18dde8a0eb97

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Citations in the corpus

$$ \mathcal{N} $$ = 4 Super-Yang-Mills correlators at strong coupling from string theory and localization (2019, methodology): “For any N = 2 SCFT, there are two types of deformations preserving N = 2 Poincaré supersymmetry [62].”
Geometric constraints on the space of N=2 SCFTs I: physical constraints on relevant deformations (2015, background): “A more systematic and comprehensive discussion of superconformal representations and supersymmetric deformations has since appeared in [27, 28].”
Multiplets of superconformal symmetry in diverse dimensions (2016, methodology): “ion phenomenon also shows that the spectrum of short multiplets need not be invariant under continuous deformations: given a family of SCFT labeled by some exactly marginal couplings (as was shown in [11], this can only happen for d= 3;N= 1;2 or for d = 4;N= 1;2;4), the spectrum of short multiplets ”
Top down approach to 6D SCFTs (2018, background): “In the case of 6D SCFTs, however, the first of these possibilities cannot arise for a flow between a UV SCFT and an IR SCFT: as advertised in [74] and demonstrated in [148, 149, 51], 6D SCFTs possess no marginal or relevant supersymmetrypreserving deformations, which means that any UV SCFT can only ”
Exploring 2-group global symmetries (2018, background): “ simple argument for (4.13) based on charge conjugation: let j(1) A be the projections of j (1) onto its C-even (+) and C-odd ( ) 43 Some other physical consequences of this feature were discussed in [54,55]. 44 This determines whether J(2) B is the electric (e) or the magnetic (m) 2-form current of”