Fuzzy spacetime with SU(3) isometry in the IIB matrix model

被引：12

作者：

Kaneko, H ^{[1
]}

Kitazawa, Y

Tomino, D

机构：

[1] High Energy Accelerator Res Org KEK, Tsukuba, Ibaraki 3050801, Japan

[2] Grad Univ Adv Studies, Dept Particle & Nucl Phys, Tsukuba, Ibaraki 3050801, Japan

[3] Natl Taiwan Normal Univ, Dept Phys, Taipei 116, Taiwan

来源：

PHYSICAL REVIEW D | 2006年 / 73卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.73.066001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A group of fuzzy spacetime with SU(3) isometry is studied at the two-loop level in a IIB matrix model. It consists of spacetime from four to six dimensions, namely, from CP2 to SU(3)/U(1) x U(1). The effective action scales in a universal manner in the large N limit as N and N-4/3 on four- and six-dimensional manifolds, respectively. The four-dimensional spacetime CP2 possesses the smallest effective action in this class.

引用

页数：13

共 27 条

[1] Fuzzy CP2 [J].

Alexanian, G ;

Balachandran, AP ;

Immirzi, G ;

Ydri, B .

JOURNAL OF GEOMETRY AND PHYSICS, 2002, 42 (1-2) :28-53

[2] Non-commutative Yang-Mills in IIB matrix model [J].

Aoki, H ;

Ishibashi, N ;

Iso, S ;

Kawai, H ;

Kitazawa, Y ;

Tada, T .

NUCLEAR PHYSICS B, 2000, 565 (1-2) :176-192

[3]

AZUMA T, HEPTH0405277

[4] Fuzzy torus in matrix model [J].

Bal, S ;

Hanada, M ;

Kawai, H ;

Kubo, F .

NUCLEAR PHYSICS B, 2005, 727 (1-2) :196-217

[5] 3JM AND 6J TABLES FOR SOME BASES OF SU6 AND SU3 [J].

BICKERSTAFF, RP ;

BUTLER, PH ;

BUTTS, MB ;

HAASE, RW ;

REID, MF .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (04) :1087-1117

[6] COUPLING COEFFICIENTS AND TENSOR OPERATORS FOR CHAINS OF GROUPS [J].

BUTLER, PH .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1975, 277 (1272) :545-585

[7] WIGNER AND RACAH COEFFICIENTS FOR SU3 [J].

DRAAYER, JP ;

AKIYAMA, Y .

JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (12) :1904-1912

[8]

EDOMONDS AR, 1962, P R SOC A, V268, P567

[9] 1977 RIETZ LECTURE - BOOTSTRAP METHODS - ANOTHER LOOK AT THE JACKKNIFE [J].

EFRON, B .

ANNALS OF STATISTICS, 1979, 7 (01) :1-26

[10] FINITE-SIZE SCALING STUDY OF THE DECONFINING PHASE-TRANSITION IN PURE SU(3) LATTICE GAUGE-THEORY [J].

FUKUGITA, M ;

OKAWA, M ;

UKAWA, A .

NUCLEAR PHYSICS B, 1990, 337 (01) :181-232

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