Condensation of p-branes and generalized Higgs/confinement duality

TL;DR

This paper reviews how p-brane condensation leads to strong-weak dualities and confinement phenomena in tensor field theories, with implications for string phase transitions.

Contribution

It presents a unified analysis of low-energy actions and dualities arising from p-brane condensation in non-perturbative regimes of tensor theories.

Findings

Derived confining string and membrane actions from tensor theories.

Demonstrated dualities between different non-perturbative phases.

Discussed relevance to Hagedorn phase transition in string theory.

Abstract

We review our recent work on the low-energy actions and the realizations of strong-weak coupling dualities in non-perturbative phases of compact antisymmetric tensor field theories due to p-brane condensation. As examples we derive and discuss the confining string and confining membrane actions obtained from compact vector and tensor theories in 4D. We also mention the relevance of our results for the description of the Hagedorn phase transition of finite temperature strings.