Torus one-point correlation numbers in minimal Liouville gravity

A bstract We present a method for the first principles calculation of tachyon one-point amplitudes in (2 , 2 p + 1) minimal Liouville gravity defined on a torus. The method is based on the higher equations of motion in the Liouville CFT. These equations were earlier successfully applied for analytic...

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Bibliographic Details
Published in:The journal of high energy physics 2023-02, Vol.2023 (2), p.116-25, Article 116
Main Authors: Artemev, A., Belavin, V.
Format: Article
Language:English
Subjects:
2D Gravity
Amplitudes
Classical and Quantum Gravitation
Conformal and W Symmetry
Conformal Field Models in String Theory
Elementary Particles
Equations of motion
First principles
Gravity
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
Topology
Toruses
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Summary:A bstract We present a method for the first principles calculation of tachyon one-point amplitudes in (2 , 2 p + 1) minimal Liouville gravity defined on a torus. The method is based on the higher equations of motion in the Liouville CFT. These equations were earlier successfully applied for analytic calculations of the amplitudes in the spherical topology. We show that this approach allows to reduce the moduli integrals entering the definition of the torus amplitudes to certain boundary contributions, which can be calculated explicitly. The results agree with the calculations performed in the matrix models approach.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2023)116