Author:
Buchbinder I. L.,Budekhina A. S.,Merzlikin B. S.
Abstract
AbstractWe study the quantum structure of four-dimensional $${{\mathcal {N}}}=2$$
N
=
2
superfield sigma-model formulated in harmonic superspace in terms of the omega-hypermultiplet superfield $$\omega $$
ω
. The model is described by harmonic superfield sigma-model metric $$g_{ab}(\omega )$$
g
ab
(
ω
)
and two potential-like superfields $$L^{++}_{a}(\omega )$$
L
a
+
+
(
ω
)
and $$L^{(+4)}(\omega )$$
L
(
+
4
)
(
ω
)
. In bosonic component sector this model describes some hyper-Kähler manifold. The manifestly $${{\mathcal {N}}}=2$$
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 $$g_{ab}(\omega ), L^{++}_{a}(\omega ), L^{(+4)}(\omega )$$
g
ab
(
ω
)
,
L
a
+
+
(
ω
)
,
L
(
+
4
)
(
ω
)
, where some specific analogy between the algebra of covariant derivatives in the sigma-model and the corresponding algebra in the $${{\mathcal {N}}}=2$$
N
=
2
SYM theory is used. The component structure of divergences in the bosonic sector is discussed.
Funder
Ministry of Education of the Russian Federation
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)