Locally supersymmetric D = 3 non-linear sigma models

De Wit, Bernard; Tollsten, A. K.; Nicolai, Hermann

doi:10.1016/0550-3213(93)90195-U

Item

ITEM ACTIONSEXPORT

Add to Basket

Release HistoryDetailsSummary

Released

Journal Article

Locally supersymmetric D = 3 non-linear sigma models

MPS-Authors

/persons/resource/persons20713

Nicolai, Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

346888.pdf
(Publisher version), 2MB

Supplementary Material (public)

There is no public supplementary material available

Citation

De Wit, B., Tollsten, A. K., & Nicolai, H. (1993). Locally supersymmetric D = 3 non-linear sigma models. Nuclear Physics B, 392(1), 3-38. doi:10.1016/0550-3213(93)90195-U.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5C48-A

Abstract

We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N = 1 and 2 the target space of these models is riemannian or Kähler, respectively. All N > 2 theories are associated with Einstein spaces. For N = 3 the target space is quaternionic, while for N = 4 it generally decomposes into two separate quaternionic spaces, associated with inequivalent supermultiplets. For N = 5, 6, 8 there is a unique (symmetric) space for any given number of supermultiplets. Beyond that there are only theories based on a single supermultiplet for N = 9, 10, 12 and 16, associated with coset spaces with the exceptional isometry groups F4(−20), E6(−14), E7(−5) and E8(+8), respectively. For N = 3 and N greater-or-equal, slanted 5 the D = 2 theories obtained by dimensional reduction are two-loop finite.