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- W3208284340 abstract "We study the quantum structure of the general four-dimensional ${cal N}=2$ supersymmetric sigma-model formulated in harmonic superspace in terms of the omega-hypermultiplet superfield $omega$. The model is described by superfield sigma-model metric $g_{ab}(omega)$ and two potential-like superfields $L^{++}_{a}(omega)$ and $L^{(+4)}(omega)$. The manifestly ${cal N}=2$ supersymmetric covariant background-quantum splitting is constructed and the superfield proper-time technique is developed to calculate the one-loop effective action. The one-loop divergences of the superfield effective action are found for arbitrary $g_{ab}(omega), L^{++}_{a}(omega), L^{(+4)}(omega)$, where some specific analogy between the algebra of covariant derivatives in the sigma-model and the corresponding algebra in the ${cal N}=2$ SYM theory is used. The component structure of divergences in the bosonic sector is discussed." @default.
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- W3208284340 date "2021-10-26" @default.
- W3208284340 modified "2023-09-27" @default.
- W3208284340 title "On a structure of the one-loop divergences in $4D, {cal N}=2$ supersymmetric sigma-model." @default.
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