Multiplets of superconformal symmetry in diverse dimensions

Córdova, Clay; Dumitrescu, Thomas T.; Intriligator, Kenneth

doi:10.1007/JHEP03(2019)163

Multiplets of superconformal symmetry in diverse dimensions

Journal Article · Tue Mar 26 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP03(2019)163· OSTI ID:1597670

Córdova, Clay ^[1]; Dumitrescu, Thomas T. ^[2]; Intriligator, Kenneth ^[3]

Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences; Institute for Advanced Study
Harvard Univ., Cambridge, MA (United States)
Univ. of California, San Diego, CA (United States)

We 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.

View Accepted Manuscript (DOE)

Research Organization:: Harvard Univ., Cambridge, MA (United States); Inst. for Advanced Study, Princeton, NJ (United States); Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0007870; SC0009919; SC0009988

OSTI ID:: 1597670

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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