activity
20092026
most citedType-II Bäcklund Transformations via Gauge Transformations

40 citations · 166 across the 22 of their papers we have counts for

collaborators

23 papers

hep-th2026

Variable-mass sine-Gordon with point defects: integrability, soliton transmission, and quasi-conservation

A. R. Aguirre, H. Blas, H. F. Callisaya +1

We study integrable variable-mass sine-Gordon model (vmSG) with point defects. Using the Lax and Bäcklund-gauge formulations, we construct type-I and type-II defect matrices, deriv…

hep-th2024

New negative grade solitonic sector for supersymmetric KdV and mKdV hierarchies

Y. F. Adans, A. R. Aguirre, J. F. Gomes +2

A systematic construction for supersymmetric negative graded (non-local) flows for mKdV and KdV based on with a principal gradation is proposed in this paper. We show tha…

nlin.SI2024★ 1 cited

SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations

Y. F. Adans, A. R. Aguirre, J. F. Gomes +2

The construction of Integrable Hierarchies in terms of zero curvature representation provides a systematic construction for a series of integrable non-linear evolution equations (f…

hep-th2021★ 3 cited

Spin-1/2 "bosons'' with mass dimension 3/2 and fermions with mass dimension 1 cannot represent physical particle states

A. R. Aguirre, M. M. Chaichian, B. A. Couto e Silva +1

We delve into the first principles of quantum field theory to prove that the so-called spin-1/2 ''bosons'' and the fermions with mass dimension 1, including ELKO, cannot represent…

hep-th2021★ 2 cited

Spin-half bosonic classification

R. J. Bueno Rogerio, A. R. Aguirre

In this paper, we define a new spinor classification that encompasses the recently proposed spin-half bosons with mass dimension three-half. As it will be shown, these particles, w…

hep-th2021★ 14 cited

The Lorentz-violating real scalar field at thermal equilibrium

A. R. Aguirre, G. Flores-Hidalgo, R. G. Rana +1

In this paper we study Lorentz-Violation(LV) effects on the thermodynamics properties of a real scalar field theory due to the presence of a constant background tensor field. In pa…