3 papers
math.RT2026
Rank-one geometry and mixed complexes in representations of Cartan type Lie algebras on a torus
S. Eswara Rao, Souvik Pal
In this paper, we develop a unified theory of reducibility and indecomposability for Shen-Larsson modules over the Witt, special and Hamiltonian type Lie algebras on a torus. Our a…
math.RT2026
Zero-level integrable modules over twisted affine Lie superalgebras
Hajar Kiamehr, Senapathi Eswara Rao, Malihe Yousofzadeh
The main result of this paper is the characterization of zero-level integrable finite weight modules, over twisted affine Lie superalgebras. We prove that such a module is paraboli…
quant-ph2025
A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
Sujit Rao
We give a convergent hierarchy of SDP certificates for bounding the spectral gap of local qubit Hamiltonians from below. Our approach is based on the NPA hierarchy applied to a pol…