Generalised Symmetries and Manifest Duality I: Flat Spacetime
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917112313806848 |
|---|---|
| author | Chakrabarti, Subhroneel Manna, Arkajyoti Raman, Madhusudhan |
| author_facet | Chakrabarti, Subhroneel Manna, Arkajyoti Raman, Madhusudhan |
| contents | We present a novel, manifestly Lorentz-invariant, polynomial, and straightforwardly quantisable action for duality-symmetric gauge theories formulated using gauge potentials. Central to our construction is the identification of a harmonic higher-form symmetry which uniquely determines the field-strength and resolves the tension between Bianchi identities and dynamical equations of motion. Gauging this symmetry reproduces the flux-based description due to Sen and shows that the quantum consistency checks established for Sen's formalism are automatically subsumed by our action. Unlike Sen's flux-based formalism, our framework admits a simple minimal coupling to matter, the Witten effect, and extends readily to non-Abelian gauge fields. The new action admits remarkably simple supersymmetrisation. Using this action, we derive self-dual Yang-Mills equations from first principles and demonstrate the formalism explicitly for quantum electro-magnetodynamics in $D=4$. We also present a proof of charge quantisation that applies equally to ours and Sen's formulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_23350 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalised Symmetries and Manifest Duality I: Flat Spacetime Chakrabarti, Subhroneel Manna, Arkajyoti Raman, Madhusudhan High Energy Physics - Theory We present a novel, manifestly Lorentz-invariant, polynomial, and straightforwardly quantisable action for duality-symmetric gauge theories formulated using gauge potentials. Central to our construction is the identification of a harmonic higher-form symmetry which uniquely determines the field-strength and resolves the tension between Bianchi identities and dynamical equations of motion. Gauging this symmetry reproduces the flux-based description due to Sen and shows that the quantum consistency checks established for Sen's formalism are automatically subsumed by our action. Unlike Sen's flux-based formalism, our framework admits a simple minimal coupling to matter, the Witten effect, and extends readily to non-Abelian gauge fields. The new action admits remarkably simple supersymmetrisation. Using this action, we derive self-dual Yang-Mills equations from first principles and demonstrate the formalism explicitly for quantum electro-magnetodynamics in $D=4$. We also present a proof of charge quantisation that applies equally to ours and Sen's formulations. |
| title | Generalised Symmetries and Manifest Duality I: Flat Spacetime |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.23350 |