Embedding Unimodular Gravity in string theory

A bstract Unimodular Gravity is a theory displaying Weyl rescalings of the metric and transverse (volume-preserving) diffeomorphisms as gauge symmetries, as opposed to the full set of diffeomorphisms displayed by General Relativity. Recently, we presented a systematic comparison of both theories, co...

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Bibliographic Details
Published in:The journal of high energy physics 2023-03, Vol.2023 (3), p.27-23, Article 27
Main Authors: Garay, Luis J., García-Moreno, Gerardo
Format: Article
Language:English
Subjects:
Bosonic Strings
Classical and Quantum Gravitation
Classical Theories of Gravity
Cosmological constant
Elementary Particles
Embedding
High energy physics
Isomorphism
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity
Relativity Theory
String Theory
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Summary:A bstract Unimodular Gravity is a theory displaying Weyl rescalings of the metric and transverse (volume-preserving) diffeomorphisms as gauge symmetries, as opposed to the full set of diffeomorphisms displayed by General Relativity. Recently, we presented a systematic comparison of both theories, concluding that both of them are equivalent in everything but the behaviour of the cosmological constant under radiative corrections. A careful study of how Unimodular Gravity can be embedded in the string theory framework has not been provided yet and was not analyzed there in detail. In this article, we provide such an explicit analysis, filling the gap in the literature. We restrict ourselves to the unoriented bosonic string theory in critical dimension for the sake of simplicity, although we argue that no differences are expected for other string theories. Our conclusions are that both a Diff and a WTDiff invariance principle are equally valid for describing the massless excitations of the string spectrum.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2023)027