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Gas of Baby Universes in JT Gravity and Matrix Models

Steklov Mathematical Institute, Russian Academy of Sciences, Gubkin str. 8, 119991 Moscow, Russia
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Symmetry 2020, 12(6), 975; https://doi.org/10.3390/sym12060975
Received: 30 April 2020 / Revised: 28 May 2020 / Accepted: 1 June 2020 / Published: 8 June 2020
(This article belongs to the Special Issue Selected Papers: 10th Mathematical Physics Meeting)
It has been shown recently by Saad, Shenker and Stanford that the genus expansion of a certain matrix integral generates partition functions of Jackiw-Teitelboim (JT) quantum gravity on Riemann surfaces of arbitrary genus with any fixed number of boundaries. We use an extension of this integral for studying gas of baby universes or wormholes in JT gravity. To investigate the gas nonperturbatively we explore the generating functional of baby universes in the matrix model. The simple particular case when the matrix integral includes the exponential potential is discussed in some detail. We argue that there is a phase transition in the gas of baby universes. View Full-Text
Keywords: random systems; matrix model; 2D gravity; field theories in lower dimensions; 1/N expansion random systems; matrix model; 2D gravity; field theories in lower dimensions; 1/N expansion
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MDPI and ACS Style

Aref’eva, I.; Volovich, I. Gas of Baby Universes in JT Gravity and Matrix Models. Symmetry 2020, 12, 975. https://doi.org/10.3390/sym12060975

AMA Style

Aref’eva I, Volovich I. Gas of Baby Universes in JT Gravity and Matrix Models. Symmetry. 2020; 12(6):975. https://doi.org/10.3390/sym12060975

Chicago/Turabian Style

Aref’eva, Irina, and Igor Volovich. 2020. "Gas of Baby Universes in JT Gravity and Matrix Models" Symmetry 12, no. 6: 975. https://doi.org/10.3390/sym12060975

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