The new accelerator complex Nuclotron-based Ion Collider fAcility NICA is being constructed in the JointInstitute for Nuclear Research to provide studies of both hot and dense strongly interacting baryonic matterand spin physics (in collisions of polarized protons and deuterons) at energies 4÷11 GeV. Accelerator complexNICA will consist of 3 superconducting (SC) rings: existing Nuclotron, booster synchrotron and two-aperturecollider ring. For the NICA complex about 430 of SC magnets will be manufactured and tested in the testfacility.To provide particles orbit correction, the Booster synchrotron ring includes 24 dipole correction magnets(DCM) and 8 multipole correction magnets (MCM), 32 additional current leads. The DM has two SC dipolecoils: normal and skew. The MCM has 4 types of SC coils: sextupole normal, octupole normal, sextupole skewand quadrupole skew. The original technologies of manufacturing and design of thermal "anchors" and currentleads with the use of low-temperature Rose solder have been developed. The calculations of dynamic heatreleases for current leads of correcting magnets of booster synchrotron in the temperature range 300 - 4.5 Kare presented.
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