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

[41] Thermodynamics of theories with sixteen supercharges in non-trivial vacua [J].

Grignani, Gianluca ;

Griguolo, Luca ;

Mori, Nicola ;

Seminara, Domenico .

JOURNAL OF HIGH ENERGY PHYSICS, 2007, (10)

[42] Integration of immigrants: The perspective of European community law [J].

Gross, T .

EUROPEAN JOURNAL OF MIGRATION AND LAW, 2005, 7 (02) :145-161

[43] Finite quantum field theory in noncommutative geometry [J].

Grosse, H ;

Klimcik, C ;

Presnajder, P .

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1996, 35 (02) :231-244

[44] Dynamical aspects of large-N reduced models [J].

Hotta, T ;

Nishimura, J ;

Tsuchiya, A .

NUCLEAR PHYSICS B, 1999, 545 (1-3) :543-575

[45] Quantum corrections on fuzzy sphere [J].

Imai, T ;

Kitazawa, Y ;

Takayama, Y ;

Tomino, D .

NUCLEAR PHYSICS B, 2003, 665 (1-3) :520-544

[46] Stability of fuzzy S2 x S2 geometry in IIB matrix model [J].

Imai, T ;

Takayama, Y .

NUCLEAR PHYSICS B, 2004, 686 (1-2) :248-260

[47] Effective actions of matrix models on homogeneous spaces [J].

Imai, T ;

Kitazawa, Y ;

Takayama, Y ;

Tomino, D .

NUCLEAR PHYSICS B, 2004, 679 (1-2) :143-167

[48] A large-N reduced model as superstring [J].

Ishibashi, N ;

Kawai, H ;

Kitazawa, Y ;

Tsuchiya, A .

NUCLEAR PHYSICS B, 1997, 498 (1-2) :467-491

[49] Embedding of theories with SU(2|4) symmetry into the plane wave matrix model [J].

Ishiki, Goro ;

Shimasaki, Shinji ;

Takayama, Yastoshi ;

Tsuchiya, Asato .

JOURNAL OF HIGH ENERGY PHYSICS, 2006, (11)

[50]

Iso S, 2001, NUCL PHYS B, V604, P121, DOI [10.1016/S0550-3213(01)00173-0, 10.1143/PTP.106.445]

← 1 2 3 4 5 6 7 8 →