We define integrability preserving Yang-Baxter deformations of symmetric space sigma models with non-semi-simple symmetry group, in particular the flat string, using only essential structures a model. For homogeneous deformations, Lax connection is same form as semi-simple case, although R operator no longer satisfies freestanding equation. inhomogeneous needs to be relaxed, by modifying underl...

We take a step towards the non-perturbative description of two-dimensional dilaton-gravity theory which has vanishing cosmological constant and contains black holes. This is done in terms double-scaled Hermitian random matrix model non-perturbatively computes partition function for asymptotic Bondi Hamiltonian. To arrive at this connection we first construct gauge-invariant phase space determin...

A bstract Different frameworks exist to describe the flat-space limit of AdS/CFT, include momentum space, Mellin coordinate and partial-wave expansion. We explain origin space as smearing kernel in Poincare AdS, while latter three is global AdS. In we find a formula that unifies massless massive limit, which can be transformed Furthermore, also manage transform connecting all existed frameworks...

In this paper, it is shown that a closed surface in 3-dimensional harmonic conformally flat space minimal if the sign of mean curvature does not change. Also, determined critical point functional homeomorphic to sphere.