de Sitter Space as a Glauber-Sudarshan State: II

TL;DR

This paper demonstrates that de Sitter space in IIB string theory can be effectively described as a Glauber-Sudarshan state in M-theory, satisfying quantum and consistency conditions, thus providing a novel perspective on de Sitter constructions.

Contribution

It shows that de Sitter space can be realized as a Glauber-Sudarshan state in M-theory, independent of slicings, and explores the quantum and flux conditions supporting this state.

Findings

De Sitter space as a Glauber-Sudarshan state reproduces the background within temporal bounds.

Flux and anomaly conditions constrain the state’s temporal evolution.

Connection established between the state’s consistency and the null energy condition.

Abstract

We provide further evidence to support the fact that a four-dimensional effective field theory description with de Sitter isometries in IIB string theory, overcoming the no-go and the swampland criteria, can only exist if de Sitter space is realized as a Glauber-Sudarshan state. We show here that this result is independent of the choice of de Sitter slicings. The Glauber-Sudarshan state, constructed by shifting the interacting vacuum in the M-theory uplift of the scenario, differs from a standard coherent state in QFT in the sense that the shape and size of the state changes with respect to time, implying changes in the graviton and the flux quanta. Despite this, the expectation values of the graviton and flux operators in such a state reproduce the exact de Sitter background, as long as we are within the temporal bound set by the onset of the strong coupling in the dual type IIA side, and satisfy the corresponding Schwinger-Dyson's equations in the presence of hierarchically controlled perturbative and non-perturbative quantum corrections. Additionally, we provide a detailed study of the fluxes supporting the Glauber-Sudarshan state in the M-theory uplift of the IIB scenario. We show explicitly how the Bianchi identities, anomaly cancellation and flux quantization conditions, along-with the constraints from the Schwinger-Dyson's equations, conspire together to provide the necessary temporal dependences to support such a state in full M-theory. We also discuss how our analysis points towards a surprising connection to the four-dimensional null energy condition, for a Friedman-Lemaitre-Robertson-Walker state in the IIB side, as a consistency condition for the existence of an effective field theory description in M-theory.