105 citations · 348 across the 18 of their papers we have counts for
18 papers
Representations of at even roots of unity
A M Semikhatov, I Yu Tipunin
We construct all projective modules of the restricted quantum group at an even, th, root of unity. This -dimensional Hopf algebra is a common doub…
Virasoro central charges for Nichols algebras
A. M. Semikhatov
A Virasoro central charge can be associated with each Nichols algebra with diagonal braiding in a way that is invariant under the Weyl groupoid action. The central charge takes ver…
Parent field theory and unfolding in BRST first-quantized terms
Glenn Barnich, Maxim Grigoriev, Alexei Semikhatov +1
For free-field theories associated with BRST first-quantized gauge systems, we identify generalized auxiliary fields and pure gauge variables already at the first-quantized level a…
Associativity and Operator Hamiltonian Quantization of Gauge Theories
I. A. Batalin, A. M. Semikhatov
We show that the associative algebra structure can be incorporated in the BRST quantization formalism for gauge theories such that extension from the corresponding Lie algebra to t…
BRST Formalism and Zero Locus Reduction
M. A. Grigoriev, A. M. Semikhatov, I. Yu. Tipunin
In the BRST quantization of gauge theories, the zero locus of the BRST differential carries an (anti)bracket whose parity is opposite to that of the fundamental bracket.…
A Kaehler Structure of the Triplectic Geometry
M A Grigoriev, A M Semikhatov
We study the geometry of the triplectic quantization of gauge theories. We show that underlying the triplectic geometry is a Kaehler manifold N endowed with a pair of transversal p…