Bosonic Bogoliubov transformations as Lorentz boosts in $(c,{\overline c})=(1,1)$ conformal field theories with marginal $J{\overline J }$ deformations
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_ | 1866915721810804736 |
|---|---|
| author | Bottesi, Federico L. Zemba, Guillermo R. |
| author_facet | Bottesi, Federico L. Zemba, Guillermo R. |
| contents | We consider conformal field theories with central charges $(c,{\overline c})=(1,1)$ that are invariant under the exchange of the holomorphic and antiholomorphic sectors, in both bosonic and fermionic realizations that are meaningful for condensed matter systems. The effect of marginal current-current $(J,{\overline J})$ perturbations is to induce a deformation of the Hilbert space given by a Lorentz boost in the 2D space of currents, which is identified with a Bogoliubov transformation. The rapidity of the boost is determined by the coupling constant of the marginal perturbation. When the perturbation is diagonal in the original currents of the theory, there is a linear relation between the two, and non-linear otherwise. In the fermionic cases, both free and with Calogero-Sutherland interactions, the marginal perturbation corresponds to backward scattering processes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01513 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bosonic Bogoliubov transformations as Lorentz boosts in $(c,{\overline c})=(1,1)$ conformal field theories with marginal $J{\overline J }$ deformations Bottesi, Federico L. Zemba, Guillermo R. High Energy Physics - Theory Mesoscale and Nanoscale Physics We consider conformal field theories with central charges $(c,{\overline c})=(1,1)$ that are invariant under the exchange of the holomorphic and antiholomorphic sectors, in both bosonic and fermionic realizations that are meaningful for condensed matter systems. The effect of marginal current-current $(J,{\overline J})$ perturbations is to induce a deformation of the Hilbert space given by a Lorentz boost in the 2D space of currents, which is identified with a Bogoliubov transformation. The rapidity of the boost is determined by the coupling constant of the marginal perturbation. When the perturbation is diagonal in the original currents of the theory, there is a linear relation between the two, and non-linear otherwise. In the fermionic cases, both free and with Calogero-Sutherland interactions, the marginal perturbation corresponds to backward scattering processes. |
| title | Bosonic Bogoliubov transformations as Lorentz boosts in $(c,{\overline c})=(1,1)$ conformal field theories with marginal $J{\overline J }$ deformations |
| topic | High Energy Physics - Theory Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2509.01513 |