Abstract
We find semi-local fractional instantons of codimension four in Abelian and non-Abelian gauge theories coupled with scalar fields and the corresponding (Formula presented.) and Grassmann sigma models at strong gauge coupling. They are 1/4 BPS states in super-symmetric theories with eight supercharges, carry fractional (half) instanton charges characterized by the fourth homotopy group π4(G/H), and have divergent energy in infinite spaces. We construct exact solutions for the sigma models and numerical solutions for the gauge theories. Small instanton singularity in sigma models is resolved at finite gauge coupling (for the Abelian gauge theory). Instantons in Abelian and non-Abelian gauge theories have negative and positive instantons charges, respectively, which are related by the Seiberg-like duality that changes the sign of the instanton charge.
| Original language | English |
|---|---|
| Article number | 67 |
| Journal | Journal of High Energy Physics |
| Volume | 2016 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2016 Mar 1 |
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Keywords
- Duality in Gauge Field Theories
- Sigma Models
- Solitons Monopoles and Instantons
- Supersymmetric gauge theory
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Semilocal fractional instantons. / Eto, Minoru; Nitta, Muneto.
In: Journal of High Energy Physics, Vol. 2016, No. 3, 67, 01.03.2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Semilocal fractional instantons
AU - Eto, Minoru
AU - Nitta, Muneto
PY - 2016/3/1
Y1 - 2016/3/1
N2 - We find semi-local fractional instantons of codimension four in Abelian and non-Abelian gauge theories coupled with scalar fields and the corresponding (Formula presented.) and Grassmann sigma models at strong gauge coupling. They are 1/4 BPS states in super-symmetric theories with eight supercharges, carry fractional (half) instanton charges characterized by the fourth homotopy group π4(G/H), and have divergent energy in infinite spaces. We construct exact solutions for the sigma models and numerical solutions for the gauge theories. Small instanton singularity in sigma models is resolved at finite gauge coupling (for the Abelian gauge theory). Instantons in Abelian and non-Abelian gauge theories have negative and positive instantons charges, respectively, which are related by the Seiberg-like duality that changes the sign of the instanton charge.
AB - We find semi-local fractional instantons of codimension four in Abelian and non-Abelian gauge theories coupled with scalar fields and the corresponding (Formula presented.) and Grassmann sigma models at strong gauge coupling. They are 1/4 BPS states in super-symmetric theories with eight supercharges, carry fractional (half) instanton charges characterized by the fourth homotopy group π4(G/H), and have divergent energy in infinite spaces. We construct exact solutions for the sigma models and numerical solutions for the gauge theories. Small instanton singularity in sigma models is resolved at finite gauge coupling (for the Abelian gauge theory). Instantons in Abelian and non-Abelian gauge theories have negative and positive instantons charges, respectively, which are related by the Seiberg-like duality that changes the sign of the instanton charge.
KW - Duality in Gauge Field Theories
KW - Sigma Models
KW - Solitons Monopoles and Instantons
KW - Supersymmetric gauge theory
UR - http://www.scopus.com/inward/record.url?scp=84963823768&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84963823768&partnerID=8YFLogxK
U2 - 10.1007/JHEP03(2016)067
DO - 10.1007/JHEP03(2016)067
M3 - Article
VL - 2016
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 3
M1 - 67
ER -