A Kähler structure of the triplectic geometry

作者: M. A. Grigoriev , A. M. Semikhatov

DOI: 10.1007/BF02550995

关键词: Connection (mathematics)Structure (category theory)Quantization (physics)MathematicsGeometryTransversal (combinatorics)Canonical formGauge theory

摘要: We study the geometry of triplectic quantization gauge theories. show that is determined by a Kahler manifoldN endowed with pair transversal polarizations. The antibrackets can be brought to canonical form if and only ifN admits flat symmetric connection compatible complex structure

参考文章(20)
Ashoke Sen, Barton Zwiebach, Background independent algebraic structures in closed string field theory Communications in Mathematical Physics. ,vol. 177, pp. 305- 326 ,(1996) , 10.1007/BF02101895
Albert Schwarz, Semiclassical approximation in Batalin-Vilkovisky formalism Communications in Mathematical Physics. ,vol. 158, pp. 373- 396 ,(1993) , 10.1007/BF02108080
D A Leites, INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS Russian Mathematical Surveys. ,vol. 35, pp. 1- 64 ,(1980) , 10.1070/RM1980V035N01ABEH001545
C. M. HULL, THE BRST AND ANTI-BRST INVARIANT QUANTIZATION OF GENERAL GAUGE THEORIES Modern Physics Letters A. ,vol. 05, pp. 1871- 1881 ,(1990) , 10.1142/S0217732390002122
H. Hata, B. Zwiebach, Developing the Covariant Batalin-Vilkovisky Approach to String Theory Annals of Physics. ,vol. 229, pp. 177- 216 ,(1994) , 10.1006/APHY.1994.1006
Robert Marnelius, Igor Batalin, Completely anticanonical form of Sp(2)-symmetric Lagrangian quantization Physics Letters B. ,vol. 350, pp. 44- 48 ,(1995) , 10.1016/0370-2693(95)00333-G
I.A. Batalin, R. Marnelius, A.M. Semikhatov, Triplectic quantization: A geometrically covariant description of the Sp(2)-symmetric Lagrangian formalism Nuclear Physics. ,vol. 446, pp. 249- 285 ,(1995) , 10.1016/0550-3213(95)00176-S
M.A. Grigoriev, A.M. Semikhatov, Canonical form of a pair of compatible antibrackets Physics Letters B. ,vol. 417, pp. 259- 268 ,(1998) , 10.1016/S0370-2693(97)01404-4
I.A. Batalin, G.A. Vilkovisky, Gauge Algebra and Quantization Physics Letters B. ,vol. 102, pp. 463- 480 ,(1981) , 10.1016/0370-2693(81)90205-7