The instability of intersecting fuzzy spheres

被引：2

作者：

Azuma, Takehiro ^{[1
,2
]}

Bal, Subrata ^{[3
]}

Nishimura, Jun ^{[1
,4
]}

机构：

[1] High Energy Accelerator Res Org, Inst Particle & Nucl Studies, 1-1 Oho, Tsukuba, Ibaraki 3050801, Japan

[2] Tata Inst Fundamental Res, Dept Theoret Phys, Bombay 400005, Maharashtra, India

[3] Dublin Inst Adv Studies, Sch Theoret Phys, Dublin 8, Ireland

[4] Grad Univ Adv Studies, Inst Particle & Nucl Studies, SOKENDAI, Tsukuba, Ibaraki 3050801, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2008年 / 03期

关键词：

Chern-Simons theories; non-commutative geometry; matrix models;

D O I：

10.1088/1126-6708/2008/03/035

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We discuss the classical and quantum stability of general configurations representing many fuzzy spheres in dimensionally reduced Yang-Mills-Chern-Simons models with and without supersymmetry. By performing one-loop perturbative calculations around such configurations, we find that intersecting fuzzy spheres are classically unstable in the class of models studied in this paper. We also discuss the large-N limit of the one-loop effective action as a function of the distance of fuzzy spheres. This shows, in particular, that concentric fuzzy spheres with different radii, which are identified with the 't Hooft-Polyakov monopoles, are perturbatively stable in the bosonic model and in the D = 10 supersymmetric model.

引用

页数：14

共 73 条

[1]

Alekseev AY, 2000, J HIGH ENERGY PHYS

[2]

Ambjorn J, 1999, J HIGH ENERGY PHYS

[3] Stripes from (non-commutative) stars [J].

Ambjorn, J ;

Catterall, S .

PHYSICS LETTERS B, 2002, 549 (1-2) :253-259

[4] Nonperturbative dynamics of noncommutative gauge theory [J].

Ambjorn, J ;

Makeenko, YM ;

Nishimura, J ;

Szabo, RJ .

PHYSICS LETTERS B, 2000, 480 (3-4) :399-408

[5]

Ambjorn J, 2000, J HIGH ENERGY PHYS

[6]

Anagnostopoulos KN, 2005, J HIGH ENERGY PHYS

[7] New approach to the complex-action problem and its application to a nonperturbative study of superstring theory [J].

Anagnostopoulos, KN ;

Nishimura, J .

PHYSICAL REVIEW D, 2002, 66 (10)

[8] Dynamical generation of a nontrivial index on the fuzzy 2-sphere [J].

Aoki, H ;

Iso, S ;

Maeda, T ;

Nagao, K .

PHYSICAL REVIEW D, 2005, 71 (04) :045017-1

[9] Dynamical generation of a nontrivial index on the fuzzy 2-sphere (vol D 71, art no 045017, 2005) [J].

Aoki, H ;

Iso, S ;

Maeda, T ;

Nagao, K .

PHYSICAL REVIEW D, 2005, 71 (06)

[10] Space-time structures from IIB matrix model [J].

Aoki, H ;

Iso, S ;

Kawai, H ;

Kitazawa, Y ;

Tada, T .

PROGRESS OF THEORETICAL PHYSICS, 1998, 99 (05) :713-745

← 1 2 3 4 5 6 7 8 →