ON PROBLEMS OF THE LAGRANGIAN QUANTIZATION OF W3-GRAVITY
2003 ◽
Vol 18
(27)
◽
pp. 5099-5125
Keyword(s):
We consider the two-dimensional model of W3-gravity within Lagrangian quantization methods for general gauge theories. We use the Batalin–Vilkovisky formalism to study the arbitrariness in the realization of the gauge algebra. We obtain a one-parametric nonanalytic extension of the gauge algebra, and a corresponding solution of the classical master equation, related via an anticanonical transformation to a solution corresponding to an analytic realization. We investigate the possibility of closed solutions of the classical master equation in the Sp (2)-covariant formalism and show that such solutions do not exist in the approximation up to the third order in ghost and auxiliary fields.
Keyword(s):
2015 ◽
Vol 35
(5)
◽
pp. 894-904
Keyword(s):
2002 ◽
Vol 61
(1)
◽
pp. 34-44
◽
2020 ◽
Vol 34
(4)
◽
pp. 05020003
2001 ◽
Vol 55
(8)
◽
pp. 14