The two-sphere partition function in two-dimensional quantum gravity at fixed area

The two-sphere partition function in two-dimensional quantum gravity at fixed area

Abstract We discuss two-dimensional quantum gravity coupled to conformal matter and fixed area in a semiclassical large and negative matter central charge limit. In this setup the gravity theory — otherwise highly fluctuating — admits a round two-sphere saddle. We discuss the two-sphere partition fu...

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Bibliographic Details
Main Author: Beatrix Mühlmann
Format: Article
Language:English
Published: SpringerOpen 2021-09-01
Series:Journal of High Energy Physics
Subjects:
2D Gravity
Matrix Models
Online Access:https://doi.org/10.1007/JHEP09(2021)189
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spelling doaj-76afa99d87af4317839cf2282e3785bd2021-10-03T11:56:53ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021912210.1007/JHEP09(2021)189The two-sphere partition function in two-dimensional quantum gravity at fixed areaBeatrix Mühlmann0Institute for Theoretical Physics and ∆ Institute for Theoretical Physics, University of AmsterdamAbstract We discuss two-dimensional quantum gravity coupled to conformal matter and fixed area in a semiclassical large and negative matter central charge limit. In this setup the gravity theory — otherwise highly fluctuating — admits a round two-sphere saddle. We discuss the two-sphere partition function up to two-loop order from the path integral perspective. This amounts to studying Feynman diagrams incorporating the fixed area constraint on the round two-sphere. In particular we find that all ultraviolet divergences cancel to this order. We compare our results with the two-sphere partition function obtained from the DOZZ formula.https://doi.org/10.1007/JHEP09(2021)1892D GravityMatrix Models
collection DOAJ
language English
format Article
sources DOAJ
author Beatrix Mühlmann
spellingShingle Beatrix Mühlmann
The two-sphere partition function in two-dimensional quantum gravity at fixed area
Journal of High Energy Physics
2D Gravity
Matrix Models
author_facet Beatrix Mühlmann
author_sort Beatrix Mühlmann
title The two-sphere partition function in two-dimensional quantum gravity at fixed area
title_short The two-sphere partition function in two-dimensional quantum gravity at fixed area
title_full The two-sphere partition function in two-dimensional quantum gravity at fixed area
title_fullStr The two-sphere partition function in two-dimensional quantum gravity at fixed area
title_full_unstemmed The two-sphere partition function in two-dimensional quantum gravity at fixed area
title_sort two-sphere partition function in two-dimensional quantum gravity at fixed area
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-09-01
description Abstract We discuss two-dimensional quantum gravity coupled to conformal matter and fixed area in a semiclassical large and negative matter central charge limit. In this setup the gravity theory — otherwise highly fluctuating — admits a round two-sphere saddle. We discuss the two-sphere partition function up to two-loop order from the path integral perspective. This amounts to studying Feynman diagrams incorporating the fixed area constraint on the round two-sphere. In particular we find that all ultraviolet divergences cancel to this order. We compare our results with the two-sphere partition function obtained from the DOZZ formula.
topic 2D Gravity
Matrix Models
url https://doi.org/10.1007/JHEP09(2021)189
work_keys_str_mv AT beatrixmuhlmann thetwospherepartitionfunctionintwodimensionalquantumgravityatfixedarea
AT beatrixmuhlmann twospherepartitionfunctionintwodimensionalquantumgravityatfixedarea
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