TY - JOUR

T1 - Field theory in 4D N = 2 conformally flat superspace

AU - Kuzenko, Sergei M.

AU - Tartaglino-Mazzucchelli, Gabriele

PY - 2008

Y1 - 2008

N2 - Building on the superspace formulation for four-dimensional N = 2 matter-coupled supergravity developed in [1], we elaborate upon a general setting for field theory in N = 2 conformally flat superspaces, and concentrate specifically on the case of anti-de Sitter (AdS) superspace. We demonstrate, in particular, that associated with the N = 2 AdS supergeometry is a unique vector multiplet such that the corresponding covariantly chiral field strength W-0 is constant, W-0 = 1. This multiplet proves to be intrinsic in the sense that it encodes all the information about the N = 2 AdS supergeometry in a conformally flat frame. Moreover, it emerges as a building block in the construction of various supersymmetric actions. Such a vector multiplet, which can be identified with one of the two compensators of N = 2 supergravity, also naturally occurs for arbitrary conformally flat superspaces. An explicit superspace reduction N = 2 -> N = 1 is performed for the action principle in general conformally flat N = 2 backgrounds, and examples of such reduction are given.

AB - Building on the superspace formulation for four-dimensional N = 2 matter-coupled supergravity developed in [1], we elaborate upon a general setting for field theory in N = 2 conformally flat superspaces, and concentrate specifically on the case of anti-de Sitter (AdS) superspace. We demonstrate, in particular, that associated with the N = 2 AdS supergeometry is a unique vector multiplet such that the corresponding covariantly chiral field strength W-0 is constant, W-0 = 1. This multiplet proves to be intrinsic in the sense that it encodes all the information about the N = 2 AdS supergeometry in a conformally flat frame. Moreover, it emerges as a building block in the construction of various supersymmetric actions. Such a vector multiplet, which can be identified with one of the two compensators of N = 2 supergravity, also naturally occurs for arbitrary conformally flat superspaces. An explicit superspace reduction N = 2 -> N = 1 is performed for the action principle in general conformally flat N = 2 backgrounds, and examples of such reduction are given.

U2 - 10.1088/1126-6708/2008/10/001

DO - 10.1088/1126-6708/2008/10/001

M3 - Article

SN - 1029-8479

VL - 2008

SP - ARTN 001

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

ER -