Multiplets of superconformal symmetry in diverse dimensions

By Clay Córdova, T. Dumitrescu, K. Intriligator. Journal of High Energy Physics, 2016

266 citations recorded by the source corpus.

A bstractWe systematically analyze the operator content of unitary superconformal multiplets in d ≥ 3 spacetime dimensions. We present a simple, general, and efficient algorithm that generates all of these multiplets by correctly eliminating possible null states. The algorithm is conjectural, but passes a vast web of consistency checks. We apply it to tabulate a large variety of superconformal multiplets. In particular, we classify and construct all multiplets that contain conserved currents or free fields, which play an important role in superconformal field theories (SCFTs). Some currents that are allowed in conformal field theories cannot be embedded in superconformal multiplets, and hence they are absent in SCFTs. We use the structure of superconformal stress tensor multiplets to show that SCFTs with more than 16 Poincaré supercharges cannot arise in d ≥ 4, even when the corresponding superconformal algebras exist. We also show that such theories do arise in d = 3, but are necessarily free.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6ece185d400469d18b94a0d9f7845ad0e9346bfe

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. J. Heckman
2. Tom Rudelius
3. Clay Córdova
4. K. Intriligator
5. T. Dumitrescu
6. Eran Palti
7. Pablo Soler
8. Gary Shiu

In Nuclear and High Energy Physics

1. Tom Rudelius
2. Clay Córdova
3. J. Heckman
4. K. Intriligator
5. T. Dumitrescu
6. C. Vafa
7. Eran Palti
8. T. Weigand

Citations in the corpus

• Exploring 2-group global symmetries (2018, methodology): “Following the notation in table 26 of [21], the operators f (2)± are the conformal primaries of the multiplets [2; 0]2 and [0; 2]2.”
• 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 ”