https://doi.org/10.1140/epjc/s10052-022-09990-8
Regular Article - Theoretical Physics
On a structure of the one-loop divergences in 4D harmonic superspace sigma-model
1
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
Received:
3
November
2021
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.
© The Author(s) 2022
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