Semilocal fractional instantons

Minoru Eto; Muneto Nitta

doi:10.1007/JHEP03(2016)067

Semilocal fractional instantons

Minoru Eto, Muneto Nitta

Faculty of Business and Commerce

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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	https://doi.org/10.1007/JHEP03(2016)067
Publication status	Published - 2016 Mar 1

Keywords

Duality in Gauge Field Theories
Sigma Models
Solitons Monopoles and Instantons
Supersymmetric gauge theory

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP03(2016)067

Cite this

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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.",

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AU - Nitta, Muneto

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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

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Semilocal fractional instantons

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