Электронный каталог

Статья

Ivanov, E.
Linearized N=2 Conformal Supergravity in the Harmonic Approach / E.Ivanov, N.Zaigraev. – Text : electronic // Journal of High Energy Physics. – 2026. – Vol. 2026, No. 9. – P. 270. – URL: https://doi.org/10.1007/JHEP09(2026)270. – Bibliogr.: 49.

Using the harmonic superspace approach, we construct the superconformal harmonic action for N = 2 Weyl supermultiplet. The fundamental objects of the theory are unconstrained analytic potentials h&sup(++*a*a) , h&sup(++α+), h&sup(++α+), h&sup((+4)), which distinguishes our construction among the previously known ones. An important role is played by the “halfanalyticity” conditions introduced in arXiv:2407.08524. The structure of the harmonic linearized N = 2 Weyl action to large extent repeats the structure of the N = 2 Maxwell action, which suggests a conjecture on the possible structure of the complete nonlinear N = 2 Weyl theory action in the harmonic superspace. We provide a detailed study of the rigid superconformal properties of the proposed action and prove its invariance in both harmonic and chiral superspaces. First steps are also undertaken towards constructing the nonlinear N = 2 Weyl action, based on an analogy with N = 2 Maxwell action just mentioned and a generalization of the concept of half-analyticity to curved harmonic superspace.



ОИЯИ = ОИЯИ (JINR)2026