T-duality, fiber bundles and matrices

被引:20
作者
Ishii, Takaaki [1 ]
Ishiki, Goro [1 ]
Shimasaki, Shinji [1 ]
Tsuchiya, Asato [1 ]
机构
[1] Osaka Univ, Grad Sch Sci, Dept Phys, Toyonaka, Osaka 5600043, Japan
关键词
solitons monopoles and instantons; D-branes; string duality;
D O I
10.1088/1126-6708/2007/05/014
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 extend the T-Duality for gauge theory to that on curved space described as a nontrivial fiber bundle. We also present a new viewpoint concerning the consistent truncation and the T-duality for gauge theory and discuss the relation between the vacua on the total space and on the base space. As examples, we consider S-3(/Z(k)), S5(/Z(k)) and the Heisenberg nilmanifold.
引用
收藏
页数:21
相关论文
共 28 条
[1]   M theory as a matrix model: A conjecture [J].
Banks, T ;
Fischler, W ;
Shenker, SH ;
Susskind, L .
PHYSICAL REVIEW D, 1997, 55 (08) :5112-5128
[2]   THE QUENCHED EGUCHI-KAWAI MODEL [J].
BHANOT, G ;
HELLER, UM ;
NEUBERGER, H .
PHYSICS LETTERS B, 1982, 113 (01) :47-50
[3]   T-duality:: Topology change from H-flux [J].
Bouwknegt, P ;
Evslin, J ;
Mathai, V .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 249 (02) :383-415
[4]  
CREMMER E, 1981, P 1 SCH SUP SUP 81
[5]  
DAS SR, 1982, PHYS LETT B, V117, P228, DOI 10.1016/0370-2693(82)90552-4
[6]   REDUCTION OF DYNAMICAL DEGREES OF FREEDOM IN THE LARGE-N GAUGE-THEORY [J].
EGUCHI, T ;
KAWAI, H .
PHYSICAL REVIEW LETTERS, 1982, 48 (16) :1063-1066
[7]   Field equations of massless fields in the new interpretation of the matrix model [J].
Furuta, Ko ;
Hanada, Masanori ;
Kawai, Hikaru ;
Kimura, Yusuke .
NUCLEAR PHYSICS B, 2007, 767 (1-2) :82-99
[8]   A QUENCHED MOMENTUM PRESCRIPTION FOR LARGE-N THEORIES [J].
GROSS, DJ ;
KITAZAWA, Y .
NUCLEAR PHYSICS B, 1982, 206 (03) :440-472
[9]   Describing curved spaces by matrices [J].
Hanada, A ;
Kawai, H ;
Kimura, Y .
PROGRESS OF THEORETICAL PHYSICS, 2005, 114 (06) :1295-1316
[10]   Curved superspaces and local supersymmetry in supermatrix model [J].
Hanada, M ;
Kawai, H ;
Kimura, Y .
PROGRESS OF THEORETICAL PHYSICS, 2006, 115 (05) :1003-1025