Coherent States in M-Theory: A Brane Scan using the Taub-NUT

TL;DR

This paper demonstrates that Taub-NUT geometry in M-theory can be represented as a Glauber-Sudarshan coherent state, revealing a unified framework for D-branes and NS5-branes, and suggesting new ways to realize gravity duals of certain gauge theories.

Contribution

It introduces a novel interpretation of Taub-NUT geometry as a coherent state in M-theory, connecting various branes through the Glauber-Sudarshan state framework.

Findings

Taub-NUT geometry as a Glauber-Sudarshan state in M-theory

All D-branes and NS5-branes can be realized as Glauber-Sudarshan states

Potential to realize gravity duals of non-conformal gauge theories

Abstract

The Taub-NUT geometry corresponds to the Kaluza-Klein monopole solution of M-theory and on dimension reduction along the Taub-NUT circle direction it becomes the D6 brane of type IIA string theory. We show that the Taub-NUT geometry can be realised as a coherent state, or more appropriately as a Glauber-Sudarshan state in M-theory, once we take the underlying resurgence structure carefully. Using the duality chain it in turn implies that all D-branes as well as NS5-branes can be realised as Glauber-Sudarshan states in string theory. Our analysis also leads to an intriguing possibility of realizing the gravity duals of certain non-conformal minimally-supersymmetric gauge theories by deforming a class of Glauber-Sudarshan states.