activity
20202023
most citedSemiclassical spectrum of a Jordanian deformation of

14 citations · 41 across the 7 of their papers we have counts for

collaborators

7 papers

hep-th2023★ 3 cited

Jordan blocks and the Bethe ansatz III: Class 5 model and its symmetries

Juan Miguel Nieto García

We study the Hilbert space of the Class 5 model described in arXiv:1904.12005. Despite being integrable, neither its transfer matrix nor its Hamiltonian are diagonalisable, meaning…

hep-th2022★ 9 cited

Non-relativistic string monodromies

Andrea Fontanella, Juan Miguel Nieto García, Olof Ohlsson Sax

Spectral curve methods proved to be powerful techniques in the context of relativistic integrable string theories, since they allow to derive the semiclassical spectrum from the mi…

hep-th2022★ 14 cited

Semiclassical spectrum of a Jordanian deformation of

Riccardo Borsato, Sibylle Driezen, Juan Miguel Nieto García +1

We study a Jordanian deformation of the superstring that preserves 12 superisometries. It is an example of homogeneous Yang-Baxter deformations, a class that gen…

hep-th2022★ 5 cited

Jordan blocks and the Bethe ansatz II: The eclectic spin chain beyond

Juan Miguel Nieto García

We continue the classification of the Jordan chains of the eclectic three state spin chain that we started in our previous article. Following the same steps, we construct the gener…

hep-th2021★ 9 cited

Jordan blocks and the Bethe ansatz I: The eclectic spin chain as a limit

Juan Miguel Nieto García, Leander Wyss

We present a procedure to extract the generalised eigenvectors of a non-diagonalisable matrix by considering a diagonalisable perturbation of it and computing the non-diagonalisabl…

math-ph2020★ 1 cited

Boosts superalgebras based on centrally-extended su(1|1)^2

Juan Miguel Nieto García, Alessandro Torrielli, Leander Wyss

In this paper, we studied the boost operator in the setting of su(1|1)^2. We find a family of different algebras where such an operator can consistently appear, which we classify a…

math.GT2020

Dessins d'enfants and some holomorphic structures on the Loch Ness Monster

Yasmina Atarihuana, Juan García, Rubén A. Hidalgo +2

The classical theory of dessin d'enfants, which are bipartite maps on compact orientable surfaces, are combinatorial objects used to study branched covers between compact Riemann s…