We point out that the bootstrap program in quantum mechanics proposed by Han et al. reduces to a study of microcanonical ensemble same Hamiltonian [Formula: see text] limit. In limit, mechanical archipelago becomes an extremely thin line for anharmonic oscillator. For double-well potential, peninsula appears.

We present two complementary approaches to calculating the 2-point function of stress tensors in presence a 1/2 BPS surface defect 6d $\mathcal{N} = (2,0)$ theories. First, we use analytical bootstrap techniques at large $N$ obtain first nontrivial correction this correlator, from which extract CFT (dCFT) data characterising 2d dCFT plane. Along way derive supersymmetric inversion formula, rele...