We extend the study of supersymmetric tridiagonal Hamiltonians to case non-Hermitian with real or complex conjugate eigenvalues. find relation between matrix elements Hamiltonian $H$ and its partner $H^{+}$ in a given basis. Moreover, orthogonal polynomials eigenstate expansion problem attached can be recovered from those arising same for help kernel polynomials. Besides generality, developed f...

A bstract We discuss supersymmetric Yang-Mills theory coupled to dilatons in the framework of celestial holography. show that presence point-like dilaton sources, CCFT operators associated with gauge supermultiplet acquire a simple, factorized form. They factorize into holomorphic (super)current part and exponential “light” Liouville theory, infinite central charge limit. The current sector exh...

A bstract In this article we show that finite perturbative corrections in non-supersymmetric strings can be understood via an interplay between modular invariance and misaligned supersymmetry. While is known to crucial closed-string models, its presence role for open more subtle. Nevertheless, argue it leads cancellations physical quantities such as the one-loop cosmological constant prevents t...