Abstract
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(NC) gauge theory with NF(≥NC) fundamental hypermultiplets. We solve the hypermultiplet BPS equation and show that all 1/4 BPS solutions are generated by an NC×NF 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.
| Original language | English |
|---|---|
| Article number | 025011 |
| Pages (from-to) | 1-19 |
| Number of pages | 19 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 72 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2005 Jul 15 |
| Externally published | Yes |
Fingerprint
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics
Cite this
Instantons in the Higgs phase. / Eto, Minoru; Isozumi, Youichi; Nitta, Muneto; Ohashi, Keisuke; Sakai, Norisuke.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 72, No. 2, 025011, 15.07.2005, p. 1-19.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Instantons in the Higgs phase
AU - Eto, Minoru
AU - Isozumi, Youichi
AU - Nitta, Muneto
AU - Ohashi, Keisuke
AU - Sakai, Norisuke
PY - 2005/7/15
Y1 - 2005/7/15
N2 - 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(NC) gauge theory with NF(≥NC) fundamental hypermultiplets. We solve the hypermultiplet BPS equation and show that all 1/4 BPS solutions are generated by an NC×NF 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.
AB - 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(NC) gauge theory with NF(≥NC) fundamental hypermultiplets. We solve the hypermultiplet BPS equation and show that all 1/4 BPS solutions are generated by an NC×NF 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.
UR - http://www.scopus.com/inward/record.url?scp=33749159380&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33749159380&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.72.025011
DO - 10.1103/PhysRevD.72.025011
M3 - Article
VL - 72
SP - 1
EP - 19
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 2
M1 - 025011
ER -