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TASI lectures on solitons: Instantons, monopoles, vortices and kinks

4 Pith papers cite this work. Polarity classification is still indexing.

4 Pith papers citing it
abstract

These lectures cover aspects of solitons with focus on applications to the quantum dynamics of supersymmetric gauge theories and string theory. The lectures consist of four sections, each dealing with a different soliton. We start with instantons and work down in co-dimension to monopoles, vortices and, eventually, domain walls. Emphasis is placed on the moduli space of solitons and, in particular, on the web of connections that links solitons of different types. The D-brane realization of the ADHM and Nahm construction for instantons and monopoles is reviewed, together with related constructions for vortices and domain walls. Each lecture ends with a series of vignettes detailing the roles solitons play in the quantum dynamics of supersymmetric gauge theories in various dimensions. This includes applications to the AdS/CFT correspondence, little string theory, S-duality, cosmic strings, and the quantitative correspondence between 2d sigma models and 4d gauge theories.

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background 3

citation-polarity summary

fields

hep-th 4

years

2026 3 2025 1

verdicts

UNVERDICTED 4

roles

background 3

polarities

background 3

representative citing papers

Dyon Loops and Abelian Instantons

hep-th · 2025-06-17 · unverdicted · novelty 7.0

Abelian instantons generated by dyon loops carry full instanton charge in the Georgi-Glashow model and form a continuous deformation of small BPST instantons.

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