Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Something interacting and solvable in 1d   We present a two-parameter family of exactly solvable quantum many-body
systems in one spatial dimension containing the Lieb-Liniger model of
interacting bosons as a particular case. The principal building block of this
construction is the previously-introduced (arXiv:1712.09375) family of
two-particle scattering matrices. We discuss an $SL(2)$ transformation
connecting the models within this family and make a correspondence with
generalized point interactions. The Bethe equations for the ground state are
discussed with a special emphasis on "non-interacting modes" connected by the
modular subgroup of $SL(2)$. The bound state solutions are discussed and are
conjectured to follow some correlated version of the string hypothesis. The
excitation spectrum of the new models in this family is derived in analogy to
the Lieb-Liniger model and we show that for certain choices of parameters a
spectrum inversion occurs such that the Umklapp solutions become the new ground
state.

22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph