The Holography of Solitons

March 4-7, 2024

São Paulo, Brazil



The simplest example to model an extra dimension is the Kaluza-Klein vacuum (1926), which is just Minkowski spacetime plus an extra spacelike circle. The main objective of these lectures is to discuss non-perturbative aspects of gauge theories due to the presence of this extra dimension using holography.

Holography is a remarkable technique which allows us to compute observables of a QFT using techniques typically associated with General Relativity. This set of introductory lectures intend to show how to do this working on the Kaluza-Klein vacuum. We will start discussing what is well-known (circa 1970) of a weakly coupled QFT in this spacetime and discuss the development (circa 1999) on how to go to strong coupling using holography. Hence, no previous knowledge of QFT in curved backgrounds is required.

Then we will discuss the new developments (circa 2021-2024) that allow us to describe the phase space of the strongly coupled QFT on this Kaluza-Klein vacuum. We will end the lectures discussing some open problems in the field.

There is no registration.


  • Andres Anabalon (Universidad de Concepción, Chile and IFT-UNESP, Brazil)





March 04, 2024. 10:00-11:30, room 2:

  • Introduction. Motivation and discussion of confinement.QFT on Minkowski times a circle. Calculation of observables.

March 05, 2024 10:00-11:30, room 2:

  • A holographic description of the first lecture. How to describe a quantum state using a soliton. Calculation of the same observables but using supergravity.

March 06, 2024. 10:00-11:30, room 2:

  • Studying non-perturbative phenomena on the QFT using a generalization of the soliton of March 05. Phase diagrams and supersymmetry.

March 07, 2024. 10:00-11:30, room 2:

  • Generalizations of March 06 using D3-branes and M2-branes


Additional Information

How to reach the Institute: The minicourse will be held at ICTP South American Institute, located at IFT-UNESP, which is across the street from a major bus and subway terminal (Terminal Barra Funda). The address which is closer to the entrance of the IFT-UNESP building is R. Jornalista Aloysio Biondi, 120 – Barra Funda, São Paulo. The easiest way to reach us is by subway or bus, please find instructions here.