Generalisations of the Russo-Townsend formulation
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915706246791168 |
|---|---|
| author | Kuzenko, Sergei M. Ruhl, Jonah |
| author_facet | Kuzenko, Sergei M. Ruhl, Jonah |
| contents | As a generalisation of the recent construction by Russo and Townsend, we propose a new approach to generate $\mathsf{U}(1)$ duality-invariant models for nonlinear electrodynamics. It is based on the use of two building blocks: (i) a fixed (but otherwise arbitrary) model for self-dual nonlinear electrodynamics with Lagrangian $L(F_{μν};g)$ depending on a duality-invariant parameter $g$; and (ii) an arbitrary potential $W(ψ)$, with $ψ$ an auxiliary scalar field. It turns out that the model $\mathfrak{L}(F_{μν};ψ) = L(F_{μν};ψ) + W(ψ)$ leads to a self-dual theory for nonlinear electrodynamics upon elimination of $ψ$. As an illustration, we work out two examples in which the seed Lagrangian $L(F_{μν};g)$ corresponds to the Born-Infeld model and two particular potentials $W(ψ)$ are chosen such that integrating out $ψ$ gives: (i) the ModMaxBorn theory; and (ii) the ModMax theory. We also briefly discuss supersymmetric generalisations of the proposed formulation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20051 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalisations of the Russo-Townsend formulation Kuzenko, Sergei M. Ruhl, Jonah High Energy Physics - Theory Mathematical Physics As a generalisation of the recent construction by Russo and Townsend, we propose a new approach to generate $\mathsf{U}(1)$ duality-invariant models for nonlinear electrodynamics. It is based on the use of two building blocks: (i) a fixed (but otherwise arbitrary) model for self-dual nonlinear electrodynamics with Lagrangian $L(F_{μν};g)$ depending on a duality-invariant parameter $g$; and (ii) an arbitrary potential $W(ψ)$, with $ψ$ an auxiliary scalar field. It turns out that the model $\mathfrak{L}(F_{μν};ψ) = L(F_{μν};ψ) + W(ψ)$ leads to a self-dual theory for nonlinear electrodynamics upon elimination of $ψ$. As an illustration, we work out two examples in which the seed Lagrangian $L(F_{μν};g)$ corresponds to the Born-Infeld model and two particular potentials $W(ψ)$ are chosen such that integrating out $ψ$ gives: (i) the ModMaxBorn theory; and (ii) the ModMax theory. We also briefly discuss supersymmetric generalisations of the proposed formulation. |
| title | Generalisations of the Russo-Townsend formulation |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2511.20051 |