Instantons in the Higgs phase

被引:136
作者
Eto, M [1 ]
Isozumi, Y [1 ]
Nitta, M [1 ]
Ohashi, K [1 ]
Sakai, N [1 ]
机构
[1] Tokyo Inst Technol, Dept Phys, Tokyo 1528551, Japan
来源
PHYSICAL REVIEW D | 2005年 / 72卷 / 02期
关键词
D O I
10.1103/PhysRevD.72.025011
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
When instantons are put into the Higgs phase, vortices are attached to instantons. We construct such composite solitons as 1/4 BPS states in five-dimensional supersymmetric U(N-C) gauge theory with N-F(>= N-C) fundamental hypermultiplets. We solve the hypermultiplet BPS equation and show that all 1/4 BPS solutions are generated by an N(C)xN(F) matrix which is holomorphic in two complex variables, assuming the vector multiplet BPS equation does not give additional moduli. We determine the total moduli space formed by topological sectors patched together and work out the multi-instanton solution inside a single vortex with complete moduli. Small instanton singularities are interpreted as small sigma-model lump singularities inside the vortex. The relation between monopoles and instantons in the Higgs phase is also clarified as limits of calorons in the Higgs phase. Another type of instantons stuck at an intersection of two vortices and dyonic instantons in the Higgs phase are also discussed.
引用
收藏
页码:1 / 19
页数:19
相关论文
共 92 条
[1]   Q-KINKS [J].
ABRAHAM, ERC ;
TOWNSEND, PK .
PHYSICS LETTERS B, 1992, 291 (1-2) :85-88
[2]  
ABRIKOSOV AA, 1957, SOV PHYS JETP-USSR, V5, P1174
[3]   Semilocal and electroweak strings [J].
Achúcarro, A ;
Vachaspati, T .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 327 (06) :347-426
[4]   SELF DUAL SOLUTIONS OF THE TEMPERATURE SU(2) YANG-MILLS THEORY [J].
ACTOR, A .
ANNALS OF PHYSICS, 1983, 148 (01) :32-56
[5]   ON CONSTRAINED INSTANTONS [J].
AFFLECK, I .
NUCLEAR PHYSICS B, 1981, 191 (02) :429-444
[6]   DYNAMICAL SUPERSYMMETRY BREAKING IN SUPERSYMMETRIC QCD [J].
AFFLECK, I ;
DINE, M ;
SEIBERG, N .
NUCLEAR PHYSICS B, 1984, 241 (02) :493-534
[7]  
ARAFUNE J, 2003, GARDEN QUANTA HONOR, P299
[8]   Vacua of massive hyper-Kahler sigma models with non-Abelian quotient [J].
Arai, M ;
Nitta, M ;
Sakai, N .
PROGRESS OF THEORETICAL PHYSICS, 2005, 113 (03) :657-685
[9]   Massive nonlinear sigma models and BPS domain walls in harmonic superspace [J].
Arai, M ;
Ivanov, E ;
Niederle, J .
NUCLEAR PHYSICS B, 2004, 680 (1-3) :23-50
[10]   Manifest supersymmetry for BPS walls in N=2 nonlinear sigma models [J].
Arai, M ;
Naganuma, M ;
Nitta, M ;
Sakai, N .
NUCLEAR PHYSICS B, 2003, 652 (1-3) :35-71