Solving a 40-year-old Problem: 11D Superfield

S. N. Hazel Mak is giving a shared talk with Yangrui Hu at the gong show on June 23, 2021 (starting at 12:40pm EST) at the annual international Strings conference hosted by ICTP-SAIFR which is being held online this year. Please join in to watch them present, "Solving a 40-year-old Problem: 11D Superfield". Their presentation is scheduled to begin at the end of the gong show around 13:40pm EST.

Youtube livestream link:

Presentation Abstract: To write any 11D off-shell supersymmetric theory, one needs to know which component fields constitute a 11D superfield. This deceptively simple and absolutely fundamental problem, however, was left unsolved for 40 years since the introduction of 11D on-shell supergravity in 1978. Last year, we decided to invoke tools from Lie algebraic representation theory, such as Young tableaux and branching rules. For the very first time in history, all the component fields in the 11D unconstrained scalar superfield have been written in Lorentz irreducible representations. Together with the Breitenlohner's method we are able to write all the components for any 11D superfield. This enables us to find out the semi-prepotential and prepotential candidates for 11D supergravity - which are the scalar superfield and the superfield with one spinor index respectively.

Relevant papers: 1911.00807, 2002.08502, 2006.03609, 2007.05097, 2007.07390

Additionally, Hazel will be presenting a poster, "1D, N = 4 Supersymmetric SYK", at the Strings poster session on June 25, 2021 (starting at 12:40pm EST). We encourage all our readers to check out her work here as well!

Youtube livestream link:

Poster Abstract: Proposals are made to describe 1D, N = 4 supersymmetrical systems that extend SYK models by compactifying from 4D, N = 1 supersymmetric Lagrangians involving chiral, vector, and tensor supermultiplets. Quartic fermionic vertices are generated via integrals over the whole superspace, while 2(q-1)-point fermionic vertices are generated via superpotentials. The coupling constants in the superfield Lagrangians are arbitrary, and can be chosen to be Gaussian random. In that case, these 1D, N = 4 supersymmetric SYK models would exhibit Wishart-Laguerre randomness, which share the same feature among other 1D supersymmetric SYK models in literature. One difference with 1D, N = 1 and N = 2 models though, is our models contain dynamical bosons.

Relevant paper: 2103.11899

See you later at Strings!