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Bosonic Bogoliubov transformations as Lorentz boosts in (c,c¯)=(1,1) conformal field theories with marginal JJ¯ deformations.

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Title: Bosonic Bogoliubov transformations as Lorentz boosts in (c,c¯)=(1,1) conformal field theories with marginal JJ¯ deformations.
Authors: Bottesi, Federico L.1 (AUTHOR), Zemba, Guillermo R.2,3 (AUTHOR) grzemba@gmail.com
Source: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 2/10/2026, Vol. 41 Issue 4, p1-20. 20p.
Subjects: Conformal field theory, Lorentz transformations, Quantum field theory, Hilbert space, Current fluctuations, Perturbation theory
Abstract: In this paper, we consider conformal field theories with central charges (c , 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 , 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 nonlinear otherwise. In the fermionic cases, both free and with Calogero–Sutherland interactions, the marginal perturbation corresponds to backward scattering processes. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:In this paper, we consider conformal field theories with central charges (c , 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 , 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 nonlinear otherwise. In the fermionic cases, both free and with Calogero–Sutherland interactions, the marginal perturbation corresponds to backward scattering processes. [ABSTRACT FROM AUTHOR]
ISSN:0217751X
DOI:10.1142/S0217751X26500314