Regular Article - Theoretical Physics
On a structure of the one-loop divergences in 4D harmonic superspace sigma-model
Center for Theoretical Physics, Tomsk State Pedagogical University, 634061, Tomsk, Russia
2 National Research Tomsk State University, 634050, Tomsk, Russia
3 Tomsk State University of Control Systems and Radioelectronics, 634050, Tomsk, Russia
Accepted: 3 January 2022
Published online: 10 January 2022
We study the quantum structure of four-dimensional superfield sigma-model formulated in harmonic superspace in terms of the omega-hypermultiplet superfield . The model is described by harmonic superfield sigma-model metric and two potential-like superfields and . In bosonic component sector this model describes some hyper-Kähler manifold. The manifestly 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 , where some specific analogy between the algebra of covariant derivatives in the sigma-model and the corresponding algebra in the SYM theory is used. The component structure of divergences in the bosonic sector is discussed.
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