HEP Theory Journal Club

Glauber-Sudarshan States and Wheeler-De Witt equation

Bohdan Kulinich

McGill University

Arguably, one of the possible resolutions to the question of the four-dimensional de Sitter space within M-theory would be to view a transient four-dimensional de Sitter phase in string theory as an excited state over a supersymmetric warped Minkowski background and not as a vacuum state. It seems that using the resurgent structure of observables computed from the path integral over a specific class of excited states called the Glauber-Sudarshan states, four-dimensional de Sitter in the flat slicing can be constructed. I will discuss what happens to the Glauber-Sudarshan states that are off-shell, i.e. states that do not satisfy the Schwinger-Dyson equations. We argue that these Glauber-Sudarshan states, including the on-shell ones, are controlled by a larger envelope wave functional, namely a wave functional of the universe, which surprisingly satisfies a Wheeler-De Witt equation.