The BRST operator of quantum symmetries: The quantum analogs of Donaldson invariants

被引：2

作者：

Hammou, AB ^{[1
]}

Lagraa, M ^{[1
]}

机构：

[1] INT CTR THEORET PHYS,TRIESTE,ITALY

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1997年 / 38卷 / 09期

关键词：

YANG-MILLS THEORY; NONCOMMUTATIVE GEOMETRY; GAUGE-THEORIES; STANDARD MODEL; FIELD THEORY; HIGGS; GRAVITY; ALGEBRA;

D O I：

10.1063/1.532137

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct the BRST operator of quantum symmetries and show that the nilpotency of this operator can either be derived from the Hopf axiom structure of the quantum group symmetries or from the Jacobi identity of their quantum Lie algebra. We extend this BRST operator to the topological transformations and we investigate the propel-ties of invariant polynomials of curvatures from which we derive the descent equations for Donaldson invariants. (C) 1997 American Institute of Physics.

引用

页码：4462 / 4473

页数：12

共 30 条

[1] NONCOMMUTATIVE GEOMETRY AND HIGGS MECHANISM IN THE STANDARD MODEL
BALAKRISHNA, BS
GURSEY, F
WALI, KC
[J]. PHYSICS LETTERS B, 1991, 254 (3-4) : 430 - 434
[2] BALAKRISHNA BS, 1991, PHYS REV D, V44, P307
[3] Baulieu L., 1988, Nuclear Physics B, Proceedings Supplements, V5B, P12, DOI 10.1016/0920-5632(88)90366-0
[4] BENAOUM HB, IN PRESS INT J MOD P
[5] BENAOUN HB, 1995, MOD PHYS LETT A, V10, P497
[6] BERNARD D, 1990, PROG THEOR PHYS S, V102, P49
[7] QUANTUM GROUP GAUGE-THEORY ON CLASSICAL SPACES
BRZEZINSKI, T
MAJID, S
[J]. PHYSICS LETTERS B, 1993, 298 (3-4) : 339 - 343
[8] QUANTUM GROUP GAUGE-THEORY ON QUANTUM SPACES
BRZEZINSKI, T
MAJID, S
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 157 (03) : 591 - 638
[9] UQ(N) GAUGE-THEORIES
CASTELLANI, L
[J]. MODERN PHYSICS LETTERS A, 1994, 9 (30) : 2835 - 2847
[10] THE LAGRANGIAN OF Q-POINCARE GRAVITY
CASTELLANI, L
[J]. PHYSICS LETTERS B, 1994, 327 (1-2) : 22 - 28

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