TY - JOUR

T1 - Supergravity-matter actions in three dimensions and chern-simons terms

AU - Kuzenko, Sergei M

AU - Novak, Joseph

PY - 2014

Y1 - 2014

N2 - © The Authors. We study off-shell N-extended Yang-Mills multiplets coupled to conformal supergravity in three spacetime dimensions. Superform formulations are presented for the non-Abelian Chern-Simons actions in the cases N = 1, 2, 3, and the corresponding component actions are explicitly worked out. Such a Chern-Simons action does not exist for N = 4. In the latter case, a superform formulation is given for the BF term that describes the coupling of two Abelian vector multiplets with self-dual and anti-self-dual superfield strengths respectively. The superform results obtained are used to construct linear multiplet action principles in the cases N = 2, 3, 4. The N = 3 and N = 4 actions are demonstrated to be universal in the sense that all known off-shell supergravity-matter systems (with the exception of pure conformal supergravity) may be described using such an action. Starting from the N = 3 and N = 4 Abelian vector multiplets, we also construct composite O(2) multiplets which are analogues of the four-dimensional construction of an N = 2 reduced chiral scalar engineered from the improved tensor multiplet. Using these composites, we present the superfield equations of motion for N = 3 and N = 4 anti-de Sitter and topologically massive supergravity theories. We also sketch the construction of a large family of higher derivative couplings for N = 3 and N = 4 vector multiplets.

AB - © The Authors. We study off-shell N-extended Yang-Mills multiplets coupled to conformal supergravity in three spacetime dimensions. Superform formulations are presented for the non-Abelian Chern-Simons actions in the cases N = 1, 2, 3, and the corresponding component actions are explicitly worked out. Such a Chern-Simons action does not exist for N = 4. In the latter case, a superform formulation is given for the BF term that describes the coupling of two Abelian vector multiplets with self-dual and anti-self-dual superfield strengths respectively. The superform results obtained are used to construct linear multiplet action principles in the cases N = 2, 3, 4. The N = 3 and N = 4 actions are demonstrated to be universal in the sense that all known off-shell supergravity-matter systems (with the exception of pure conformal supergravity) may be described using such an action. Starting from the N = 3 and N = 4 Abelian vector multiplets, we also construct composite O(2) multiplets which are analogues of the four-dimensional construction of an N = 2 reduced chiral scalar engineered from the improved tensor multiplet. Using these composites, we present the superfield equations of motion for N = 3 and N = 4 anti-de Sitter and topologically massive supergravity theories. We also sketch the construction of a large family of higher derivative couplings for N = 3 and N = 4 vector multiplets.

U2 - 10.1007/JHEP05(2014)093

DO - 10.1007/JHEP05(2014)093

M3 - Article

SN - 1029-8479

VL - 2014

SP - 1

EP - 55

JO - The Journal of High Energy Physics

JF - The Journal of High Energy Physics

IS - 5

ER -