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  • Letter
  • Open Access

Coherent states in M-theory: A brane scan using the Taub-NUT geometry

Joydeep Chakravarty1,*, Keshav Dasgupta1,†, Diksha Jain2,‡, Dileep P. Jatkar3,4,§, Archana Maji5,∥, and Radu Tatar6,¶

  • 1Department of Physics, McGill University, Montréal, Québec, H3A 2T8, Canada
  • 2Theory Division, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India
  • 3Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019, India
  • 4Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai 400094, India
  • 5Department of Physics, Indian Institute of Technology Bombay, Mumbai 400076, India
  • 6Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL, United Kingdom

  • *joydeep.chakravarty@mail.mcgill.ca
  • †keshav@hep.physics.mcgill.ca
  • ‡diksha.jain@tifr.res.in
  • §dileep@hri.res.in
  • ∥archana_phy@iitb.ac.in
  • Radu.Tatar@liverpool.ac.uk

Phys. Rev. D 108, L081902 – Published 17 October, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L081902

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 realized 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 realized as Glauber-Sudarshan states in string theory. Our analysis also leads to an intriguing possibility of realizing the gravity duals of certain nonconformal minimally supersymmetric gauge theories by deforming a class of Glauber-Sudarshan states.

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