vix.ing · top · new · best · stats · spec

Gauge Theories on the Coulomb branch

2014/08/05 by John H. Schwarz, Schwarz, John H.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.48550/arxiv.1408.0852

19 pages, Lectures presented at the Erice 2014 International School of Subnuclear Physics

arxiv created 2014/08/05 · openalex publication_date 2014/08/05 · arxiv updated 2014/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct the world-volume action of a probe D3-brane in AdS5 × S5 with N units of flux. It has the field content, symmetries, and dualities of the U(1) factor of \cal N =4 U(N+1) super Yang--Mills theory, spontaneously broken to U(N) × U(1) by being on the Coulomb branch, with the massive fields integrated out. This motivates the conjecture that it is the exact effective action, called a `highly effective action' (HEA). We construct an SL(2,Z) multiplet of BPS soliton solutions of the D3-brane theory (the conjectured HEA) and show that it reproduces the electrically charged massive states that have been integrated out as well as magnetic monopoles and dyons. Their charges are uniformly spread on a spherical surface, called a `soliton bubble', which is interpreted as a phase boundary.

Related