28 citations · 63 across the 7 of their papers we have counts for
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Gauge symmetry of unimodular gravity in Hamiltonian formalism
I. Yu. Karataeva, S. L. Lyakhovich
We work out the description of the gauge symmetry of unimodular gravity in the constrained Hamiltonian formalism. In particular, we demonstrate how the transversality conditions re…
Reducible gauge symmetry versus unfree gauge symmetry in Hamiltonian formalism
V. A. Abakumova, I. Yu. Karataeva, S. L. Lyakhovich
The unfree gauge symmetry implies that gauge variation of the action functional vanishes provided for the gauge parameters are restricted by the differential equations. The unfree…
Unfree gauge symmetry in the Hamiltonian formalism
V. A. Abakumova, I. Yu. Karataeva, S. L. Lyakhovich
The constrained Hamiltonian formalism is worked out for the theories where the gauge symmetry parameters are unfree, being restricted by differential equations. The Hamiltonian BFV…
Third order extensions of Chern-Simons interacting to gravity: Hamiltonian formalism and stability
D. S. Kaparulin, I. Yu. Karataeva, S. L. Lyakhovich
We consider inclusion of interactions between 3d Einstein gravity and the third order extensions of Chern-Simons. Once the gravity is minimally included into the third order vector…
Higher derivative extensions of Chern-Simons models: conservation laws and stability
D. S. Kaparulin, I. Yu. Karataeva, S. L. Lyakhovich
We consider the class of higher derivative vector field models with the field equation operator being a polynomial of the Chern-Simons operator. For -th order theory of thi…
BRST-anti-BRST covariant theory for the second class constrained systems. A general method and examples
I. Yu. Karataeva, S. L. Lyakhovich
The BRST-anti-BRST covariant extension is suggested for the split involution quantization scheme for the second class constrained theories. The constraint algebra generating equati…
Chiral and axial anomalies in the framework of generalized Hamiltonian BFV-quantization
I. Yu. Karataeva, S. L. Lyakhovich
The regularization scheme is proposed for the constrained Hamiltonian formulation of the gauge fields coupled to the chiral or axial fermions. The Schwinger terms in the regularize…